# |
Date |
Duration |
Folks |
Topic |
1 |
Fri, 05 Mar 2021 15:30 UTC |
40 mins |
4 |
Introduction to Analytic Number Theory: Sections 1.1-1.3: Pages 13-16: Principle of Induction; Divisibility |
2 |
Sat, 06 Mar 2021 10:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Section 1.1: Page 13: Principle of induction (Recap) |
3 |
Sun, 07 Mar 2021 10:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Sections 1.2: Page 14: Divisibility (Recap) |
4 |
Mon, 08 Mar 2021 18:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Sections 1.2-1.3: Pages 14-16: Divisibility, GCD |
5 |
Tue, 09 Mar 2021 18:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Sections 1.4-1.5: Pages 16-18: Prime numbers, Fundamental theorem of arithmetic |
6 |
Wed, 10 Mar 2021 18:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Section 1.6: Pages 18-19: The series of reciprocals of primes |
7 |
Thu, 11 Mar 2021 18:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Sections 1.7-1.8: Pages 19-21: The Euclidean algorithm, GCD of more than two numbers |
8 |
Fri, 12 Mar 2021 18:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Sections 2.1-2.2: Pages 24-25: The Möbius function \( \mu(n) \) |
9 |
Sun, 14 Mar 2021 09:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Sections 2.1-2.2: Pages 24-25 (Recap) |
10 |
Mon, 15 Mar 2021 18:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Sections 2.3-2.4: Pages 25-27: The Euler totient function \( \varphi(n), \) A relation connecting \( \varphi \) and \( \mu \) |
11 |
Tue, 16 Mar 2021 18:00 UTC |
40 mins |
14 |
Introduction to Analytic Number Theory: Sections 2.5-2.6: Pages 27-30: A product formula for \( \varphi(n), \) The Dirichlet product of arithmetical functions |
12 |
Wed, 17 Mar 2021 18:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Sections 2.7-2.8: Pages 20-33: Dirichlet inverses and the Möbius inversion formula, The Mangoldt function \( \Lambda(n) \) |
13 |
Thu, 18 Mar 2021 18:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Section 2.7-2.8: Pages 20-33 (Recap) |
14 |
Fri, 19 Mar 2021 18:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Sections 2.9-2.10: Pages 33-36: Multiplicative functions, Multiplicative functions and Dirichlet multiplication |
15 |
Mon, 22 Mar 2021 18:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Sections 2.11-2.13: Pages 36-39: The inverse of a completely multiplicative function, Lioville's function \( \lambda(n), \) The divisor functions \( \sigma_{\alpha}(n) \) |
16 |
Tue, 23 Mar 2021 18:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Section 2.14: Pages 39-40: Generalized convolutions |
17 |
Wed, 24 Mar 2021 18:00 UTC |
30 mins |
11 |
Introduction to Analytic Number Theory: Section 2.15: Pages 41-42: Formal power series |
18 |
Thu, 25 Mar 2021 18:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Sections 2.16-2.17: Pages 42-45: The Bell series of an arithmetical function, Bell series and Dirichlet multiplication |
19 |
Fri, 26 Mar 2021 18:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Sections 2.18-2.19: Pages 44-46: Derivatives of arithmetical functions, The Selberg identity |
20 |
Mon, 29 Mar 2021 18:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Sections 3.1-3.3: Pages 52-55: The big oh notation, Euler's summation formula |
21 |
Tue, 30 Mar 2021 18:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Section 3.4: Pages 55-57: Some elementary asymptotic formulas |
22 |
Wed, 31 Mar 2021 18:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Section 3.5: Pages 57-59: The average order of \( d(n) \) |
23 |
Fri, 02 Apr 2021 18:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Section 3.6: Pages 60-61: The average order of the divisor functions \( \sigma_{\alpha}(n) \) |
24 |
Mon, 05 Apr 2021 18:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Section 3.7: Pages 61-62: The average order of \( \varphi(n) \) |
25 |
Tue, 06 Apr 2021 18:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Sections 3.8-3.10: Pages 62-65: An application to the distribution of lattice points visibile from the origin, The average order of \( \mu(n) \) and of \( \Lambda(n), \) The partial sums of a Dirichlet product |
26 |
Wed, 07 Apr 2021 18:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Section 3.11: Pages 66-69: An application to the distribution of lattice points visibile from the origin, The average order of \( \mu(n) \) and of \( \Lambda(n), \) The partial sums of a Dirichlet product |
27 |
Fri, 09 Apr 2021 18:00 UTC |
30 mins |
9 |
Introduction to Analytic Number Theory: Section 3.12: Pages 69-70: Another identity for the partial sums of a Dirichlet product |
28 |
Mon, 12 Apr 2021 18:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Sections 4.1-4.2: Pages 74-76: Cheybyshev's functions \( \psi(x) \) and \( \vartheta(x) \) |
29 |
Mon, 12 Apr 2021 18:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Sections 4.1-4.2: Pages 74-76: Cheybyshev's functions \( \psi(x) \) and \( \vartheta(x) \) |
30 |
Tue, 20 Apr 2021 18:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 4.3: Pages 76-79: Relations connecting \( \vartheta(x) \) and \( \pi(x) \) (Abel's identity) |
31 |
Wed, 21 Apr 2021 18:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 4.4: Pages 79-80: Some equivalent forms of the prime number theorem (Theorem 4.4) |
32 |
Thu, 22 Apr 2021 18:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Section 4.4: Pages 80-82: Some equivalent forms of the prime number theorem (Theorem 4.5) |
33 |
Mon, 26 Apr 2021 18:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Section 4.5: Pages 82-84: Inequalities of \( \pi(n) \) and \( p_n \) (Theorem 4.6) |
34 |
Tue, 27 Apr 2021 18:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Section 4.5: Pages 84-85: Inequalities of \( \pi(n) \) and \( p_n \) (Theorem 4.7) |
35 |
Wed, 28 Apr 2021 18:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Sections 4.6-4.7: Pages 85-89: Shapiro's Tauberian theorem |
36 |
Thu, 29 Apr 2021 18:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Section 4.8: Pages 89-91: An asymptotic formula for the partial sums \( \sum_{p \le x} (1/p) \) |
37 |
Fri, 30 Apr 2021 18:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Section 4.9: Pages 91-94: The partial sums of the Möbius function (Theorems 4.13-4.14) |
38 |
Mon, 03 May 2021 18:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 4.9: Pages 94-97: The partial sums of the Möbius function (Theorem 4.15) |
39 |
Wed, 05 May 2021 18:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 4.9: Pages 97-98: The partial sums of the Möbius function (Theorem 4.16) |
40 |
Thu, 06 May 2021 18:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Sections 5.1-5.2: Pages 106-110: Definition and basic properties of congruences, Residue classes and complete residue systems |
41 |
Fri, 07 May 2021 18:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Section 5.3: Pages 110-113: Linear congruences |
42 |
Tue, 11 May 2021 18:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Section 5.4: Pages 113-114: Reduced residue systems and the Euler-Fermat theorem |
43 |
Wed, 12 May 2021 18:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Sections 5.5-5.6: Pages 114-116: Polynomial congruences modulo \( p, \) Lagrange's theorem, Applications of Lagrange's theorem (Wilson's theorem) |
44 |
Thu, 13 May 2021 18:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Sections 5.6-5.7: Pages 116-118: Wolstenholme's theorem, The Chinese remainder theorem |
45 |
Fri, 14 May 2021 18:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Section 5.8: Pages 118-120: Applications of the Chinese remainder theorem |
46 |
Wed, 19 May 2021 18:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Section 5.9: Pages 120-122: Polynomial congruences with prime power moduli |
47 |
Thu, 20 May 2021 18:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Section 5.10: Pages 123-124: The principle of cross-classification (Theorem 5.31) |
48 |
Fri, 21 May 2021 18:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 5.10-5.11: Pages 124-126: The principle of cross-classification (Theorem 5.32), A decomposition property of reduced residue system |
49 |
Tue, 25 May 2021 18:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Sections 6.1-6.3: Pages 129-131: Definitions, Examples of groups and subgroups, Elementary properties of groups |
50 |
Wed, 26 May 2021 18:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Section 6.4: Pages 131-133: Construction of subgroups |
51 |
Thu, 27 May 2021 18:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Sections 6.5-6.6: Pages 133-136: Characters of finite abelian groups, The character group |
52 |
Fri, 28 May 2021 18:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Section 6.7: Pages 136-137: The orthogonality relations for characters |
53 |
Mon, 31 May 2021 18:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Section 6.8: Pages 137-140: Dirichlet characters |
54 |
Tue, 01 Jun 2021 18:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Section 6.9: Pages 140-141: Sums involving Dirichlet characters |
55 |
Wed, 02 Jun 2021 18:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 6.10: Pages 141-143: The nonvanishing of \( L(1, \chi) \) for real nonprincipal \( \chi \) |
56 |
Thu, 03 Jun 2021 18:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 7.1-7.2: Pages 146-147: Dirichlet's theorem for primes of the form \( 4n - 1 \) and \( 4n + 1 \) |
57 |
Fri, 04 Jun 2021 18:00 UTC |
30 mins |
7 |
Introduction to Analytic Number Theory: Sections 7.3-7.4: Pages 148-151: The plan of the proof of Dirichlet's theorem, Proof of Lemma 7.4 |
58 |
Mon, 07 Jun 2021 18:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 7.5: Pages 151-152: Proof of Lemma 7.5 |
59 |
Thu, 10 Jun 2021 18:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 7.6-7.9: Pages 152-155: Proof of Lemma 7.6, Proof of Lemma 7.8, Proof of Lemma 7.7, Distribution of primes in arithmetic progressions |
60 |
Tue, 15 Jun 2021 17:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Sections 8.1-8.2: Pages 157-160: Functions periodic modulo \( k, \) Existence of finite Fourier series for periodic arithmetical functions |
61 |
Wed, 16 Jun 2021 17:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Section 8.3: Pages 160-162: Ramanujan's sum and generalizations |
62 |
Thu, 17 Jun 2021 17:00 UTC |
40 mins |
13 |
Introduction to Analytic Number Theory: Section 8.4: Pages 162-164: Multiplicative properties of the sums \( s_k(n) \) |
63 |
Fri, 18 Jun 2021 17:00 UTC |
40 mins |
14 |
Introduction to Analytic Number Theory: Section 8.5: Pages 165-166: Gauss sums associated with Dirichlet characters |
64 |
Mon, 21 Jun 2021 17:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Sections 8.6-8.7: Pages 166-168: Dirichlet characters with nonvanishing Gauss sums, Induced moduli and primitive characters |
65 |
Tue, 22 Jun 2021 17:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Section 8.8: Pages 168-170: Further properties of induced moduli |
66 |
Wed, 23 Jun 2021 17:00 UTC |
40 mins |
12 |
Introduction to Analytic Number Theory: Sections 8.9-8.10: Pages 171-173: The conductor of a character, Primitive characters and separable Gauss sums |
67 |
Thu, 24 Jun 2021 17:00 UTC |
40 mins |
11 |
Introduction to Analytic Number Theory: Sections 8.11-8.12: Pages 174-174: The donductor of a character, Primitive characters and separable Gauss sums |
68 |
Mon, 28 Jun 2021 17:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Sections 9.1-9.2: Pages 178-180: Quadratic residues, Legendre's symbol and its properties |
69 |
Tue, 29 Jun 2021 17:00 UTC |
40 mins |
9 |
Introduction to Analytic Number Theory: Section 9.3: Pages 181-182: Evaluation of \( (-1 \mid p) \) and \( 2 \mid p \) |
70 |
Wed, 30 Jun 2021 17:00 UTC |
40 mins |
10 |
Introduction to Analytic Number Theory: Section 9.4: Pages 182-185: Gauss' lemma |
71 |
Thu, 01 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 9.5: Pages 185-187: The quadratic reciprocity law |
72 |
Fri, 02 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 9.7: Pages 187-190: The Jacobi symbol |
73 |
Tue, 06 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 9.8: Pages 190-192: Applications to Diophantine equations |
74 |
Wed, 07 Jul 2021 17:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Section 9.9: Pages 192-193: Gauss sums and the quadratic reciprocity law (Theorems 9.13-9.14) |
75 |
Thu, 08 Jul 2021 17:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Section 9.9: Pages 193-195: Gauss sums and the quadratic reciprocity law (Theorem 9.15) |
76 |
Fri, 09 Jul 2021 17:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Sections 9.10-9.11: Pages 195-201: The reciprocity law for quadratic Gauss sums, Another proof of the quadratic reciprocity law |
77 |
Tue, 13 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 10.1-10.3: Pages 204-206: The exponent of a number mod \( m, \) Primitive roots and reduced residue systems, The nonexistence of primitive roots mod \( 2^{\alpha} \) for \( \alpha \ge 3 \) |
78 |
Wed, 14 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 10.4-10.5: Pages 206-208: The existence of primitive roots mod \( p \) for odd primes \( p \) |
79 |
Thu, 15 Jul 2021 17:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Sections 10.6-10.7: Pages 208-210: The existence of primitive roots mod \( p^{\alpha}, \) The existence of primitive roots mod \( 2p^{\alpha} \) |
80 |
Fri, 16 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 10.8-10.9: Pages 211-212: The nonexistence of primitive roots in the remaining cases, The number of primitive roots mod \( m \) |
81 |
Tue, 20 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 10.10: Pages 213-217: The index calculus |
82 |
Wed, 21 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 10.11: Pages 218-219: Primitive roots and Dirichlet characters |
83 |
Thu, 22 Jul 2021 17:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Section 10.12: Page 220: Real-valued Dirichlet characters mod \( p^{\alpha} \) |
84 |
Fri, 23 Jul 2021 17:00 UTC |
40 mins |
8 |
Introduction to Analytic Number Theory: Section 10.13: Pages 221-223: Primitive Dirichlet characters mod \( p^{\alpha} \) |
85 |
Tue, 27 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 11.1-11.2: Pages 224-225: The half-plane of absolute convergence of a Dirichlet series |
86 |
Wed, 28 Jul 2021 17:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Sections 11.3-11.4: Pages 226-229: The function defined by a Dirichlet series, Multiplication of Dirichlet series |
87 |
Thu, 29 Jul 2021 17:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Section 11.5: Pages 230-231: Euler products |
88 |
Fri, 30 Jul 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 11.5: Pages 231-232: Euler products (Examples) |
89 |
Tue, 03 Aug 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 11.6: Pages 232-234: The half-plane of convergence of a Dirichlet series |
90 |
Wed, 04 Aug 2021 17:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Section 11.7: Pages 234-236: Analytic properties of Dirichlet series |
91 |
Thu, 05 Aug 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 11.8-11.9: Pages 236-239: Dirichlet series with nonnegative coefficients, Dirichlet series expressed as exponentials of Dirichlet series |
92 |
Fri, 06 Aug 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 11.8-11.10: Pages 240-241: Mean value formulas for Dirichlet series |
93 |
Tue, 10 Aug 2021 17:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Section 11.11: Page 242: An integral formula for the coefficients of a Dirichlet series |
94 |
Wed, 11 Aug 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Section 11.12: Pages 243-245: An integral formula for the partial sums of a Dirichlet series (Lemma 4) |
95 |
Thu, 12 Aug 2021 17:00 UTC |
30 mins |
6 |
Introduction to Analytic Number Theory: Sections 11.12-12.1: Pages 245-250: An integral formula for the partial sums of a Dicihlet series (Theorem 11.18: Perron's formula), Hurwitz zeta function |
96 |
Fri, 13 Aug 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 12.2-12.3: Pages 250-252: Properties of the gamma function, Integral representation of the Hurwitz zeta function |
97 |
Tue, 17 Aug 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 12.4: Pages 253-254: A contour integral representation for the Hurwitz zeta function |
98 |
Wed, 18 Aug 2021 17:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Sections 12.5-12.7: Pages 254-257: Analytic continuation of \( \zeta(s, a), \) \( \zeta(s), \) and \( L(s, \chi), \) Hurwitz's formula for \( \zeta(s, a) \) |
99 |
Thu, 19 Aug 2021 17:00 UTC |
35 mins |
6 |
Introduction to Analytic Number Theory: Sections 12.7: Pages 257-259: Hurwitz's formula |
100 |
Fri, 20 Aug 2021 17:00 UTC |
35 mins |
6 |
Introduction to Analytic Number Theory: Sections 12.8: Pages 259-260: The functional equation for the Riemann zeta function |
101 |
Tue, 24 Aug 2021 17:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Sections 12.9-12.10: Pages 261-262: The functional equations for the Hurwitz zeta function and L-functions |
102 |
Wed, 25 Aug 2021 17:00 UTC |
40 mins |
7 |
Introduction to Analytic Number Theory: Sections 12.10-12.11: Pages 262-265: The functional equations for the L-functions, Evaluation of \( \zeta(-n, a) \) |
103 |
Thu, 26 Aug 2021 17:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Section 12.12: Pages 265-266: Properties of Bernoulli numbers and Bernoulli polynomials |
104 |
Tue, 31 Aug 2021 17:00 UTC |
45 mins |
5 |
Introduction to Analytic Number Theory: Sections 12.12-12.13: Pages 267-268: Properties of Bernoulli numbers and Bernoulli polynomials, Formulas for \( L(0, \chi) \) |
105 |
Wed, 01 Sep 2021 17:00 UTC |
30 mins |
7 |
Introduction to Analytic Number Theory: Section 12.14: Pages 268-270: Approximation of \( \zeta(s, a) \) by finite sums |
106 |
Thu, 02 Sep 2021 17:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Sections 12.15-12.16: Pages 270-273: Inequalities for \( \lvert \zeta(s, a) \rvert, \) \( \lvert \zeta(s) \rvert, \) and \( \lvert L(s, \chi) \rvert \) |
107 |
Fri, 03 Sep 2021 17:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Sections 13.1-13.2: Pages 278-281: The plan of the proof, Lemmas |
108 |
Tue, 07 Sep 2021 17:00 UTC |
40 mins |
6 |
Introduction to Analytic Number Theory: Sections 13.2-13.3: Pages 281-284: Lemmas, A contour integral representation for \( \psi_1(x)/x^2 \) |
109 |
Wed, 08 Sep 2021 17:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Sections 13.4-13.5: Pages 284-287: Upper bounds for \( \zeta(s) \) and \( \zeta'(s) \) near the line \( \sigma = 1, \) The nonvanishing of \( \zeta(s) \) on the line \( \sigma = 1 \) |
110 |
Thu, 09 Sep 2021 17:00 UTC |
40 mins |
4 |
Introduction to Analytic Number Theory: Sections 13.6-13.7: Pages 287-291: Inequalities for \( 1/\zeta(s) \) and \( \zeta'(s)/\zeta(s), \) Completion of the proof of the prime number theorem |
111 |
Tue, 14 Sep 2021 17:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Sections 13.8-13.9: Pages 291-293: Zero-free regions for \( \zeta(s), \) The Riemann Hypothesis |
112 |
Wed, 15 Sep 2021 17:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Section 13.10: Pages 294-296: Applications to the divisor function |
113 |
Thu, 16 Sep 2021 17:00 UTC |
40 mins |
4 |
Introduction to Analytic Number Theory: Section 13.11: Pages 297-299: Application to Euler's totient |
114 |
Fri, 17 Sep 2021 17:00 UTC |
40 mins |
4 |
Introduction to Analytic Number Theory: Sections 13.12-14.2: Pages 299-307: Extension of Pólya's inequality for character sums, Geometric representation of partitions |
115 |
Tue, 21 Sep 2021 17:00 UTC |
30 mins |
4 |
Introduction to Analytic Number Theory: Section 14.3: Pages 308-310: Generating functions for partitions |
116 |
Wed, 22 Sep 2021 17:00 UTC |
35 mins |
4 |
Introduction to Analytic Number Theory: Section 14.4: Pages 311-313: Euler's pentagonal-number theorem |
117 |
Tue, 28 Sep 2021 17:00 UTC |
45 mins |
8 |
Introduction to Analytic Number Theory: Sections 14.5-14.7: Pages 313-318: Combinatorial proof of Euler's pentagonal-number theorem, Euler's recursion formula for \( p(n), \) An upper bound for \( p(n) \) |
118 |
Wed, 29 Sep 2021 17:00 UTC |
45 mins |
6 |
Introduction to Analytic Number Theory: Section 14.8: Pages 318-320: Jacobi's triple product identity |
119 |
Thu, 30 Sep 2021 17:00 UTC |
40 mins |
5 |
Introduction to Analytic Number Theory: Sections 14.9-14.10: Pages 321-322: Consequences of Jacobi's identity, Logarithmic differentiation of generation functions |
120 |
Fri, 01 Oct 2021 17:00 UTC |
35 mins |
7 |
Introduction to Analytic Number Theory: Sections 14.10-14.11: Pages 323-324: Recursion formula for \( p_{A,f}(n), \) The partition identities of Ramanujan |
121 |
Fri, 16 Dec 2022 20:00 UTC |
45 mins |
11 |
Mastering Emacs: Chapter 1; Pages 1-18: Introduction |
122 |
Sat, 17 Dec 2022 10:00 UTC |
45 mins |
9 |
Mastering Emacs: Chapter 2: Pages 19-29: The Way of Emacs: Guiding Philosophy, Lisp, Extensibility |
123 |
Sun, 18 Dec 2022 10:00 UTC |
60 mins |
10 |
Mastering Emacs: Chapter 2: Pages 30-39: The Way of Emacs: Buffer, Window, Frame, Modeline, Echo Area, Minibuffer, Point, Mark, Major Modes, Minor Modes |
124 |
Fri, 23 Dec 2022 20:00 UTC |
40 mins |
11 |
Mastering Emacs: Chapter 3: Pages 40-47: First Steps: Starting Emacs, Emacs Client-Server |
125 |
Sat, 24 Dec 2022 10:00 UTC |
45 mins |
9 |
Mastering Emacs: Chapter 3: Pages 48-52: First Steps: The Emacs Interface, Keys |
126 |
Sun, 25 Dec 2022 10:00 UTC |
45 mins |
9 |
Mastering Emacs: Chapter 3: Pages 52-56: First Steps: Keys, Caps Lock as Control, M-x: Execute Extended Command |
127 |
Fri, 30 Dec 2022 20:00 UTC |
50 mins |
8 |
Mastering Emacs: Chapter 3: Pages 56-62: First Steps: M-S-x: Execute Extended Command for Buffer, Universal Arguments, Discovering and Remembering Keys |
128 |
Sat, 31 Dec 2022 10:00 UTC |
50 mins |
6 |
Mastering Emacs: Chapter 3: Pages 63-70: First Steps: Configuring Emacs, The Customize Interface |
129 |
Sun, 01 Jan 2023 10:00 UTC |
45 mins |
8 |
Mastering Emacs: Chapter 3: Pages 70-74: First Steps: Evaluating Elisp Code, The Package Manager, Custom Color Themes |
130 |
Fri, 06 Jan 2023 20:00 UTC |
45 mins |
8 |
Mastering Emacs: Chapter 3: Pages 74-80: First Steps: The Info Manual, Apropos |
131 |
Sat, 07 Jan 2023 10:00 UTC |
45 mins |
6 |
Mastering Emacs: Chapter 3: Pages 80-83: First Steps: The Describe System |
132 |
Sun, 08 Jan 2023 10:00 UTC |
55 mins |
6 |
Mastering Emacs: Chapter 4: Pages 84-91: The Theory of Movement: The Basics, Find File, Major mode load order |
133 |
Fri, 13 Jan 2023 22:00 UTC |
50 mins |
10 |
Mastering Emacs: Chapter 4: Pages 91-97: The Theory of Movement: Coding Systems, Line Endings, Save Buffer, Exit Emacs, Switch Buffer, Buffer Switching Alternatives |
134 |
Sat, 14 Jan 2023 10:00 UTC |
45 mins |
8 |
Mastering Emacs: Chapter 4: Pages 97-103: The Theory of Movement: Kill Buffer, Keyboard Escape, Undo |
135 |
Sun, 15 Jan 2023 10:00 UTC |
40 mins |
7 |
Mastering Emacs: Chapter 4: Pages 103-107: The Theory of Movement: Window Management, Working with Other Windows, Frame Management |
136 |
Fri, 20 Jan 2023 20:00 UTC |
40 mins |
8 |
Mastering Emacs: Chapter 4: Pages 108-113: The Theory of Movement: Tab Bars and Tab Lines, Tab Bar Mode, Tab Line Mode |
137 |
Sat, 21 Jan 2023 10:00 UTC |
45 mins |
5 |
Mastering Emacs: Chapter 4: Pages 113-120: The Theory of Movement: Navigation Keys, Moving by Character, Moving by Line |
138 |
Sun, 22 Jan 2023 10:00 UTC |
40 mins |
7 |
Mastering Emacs: Chapter 4: Pages 120-126: The Theory of Movement: Moving by Word |
139 |
Fri, 27 Jan 2023 20:00 UTC |
40 mins |
7 |
Mastering Emacs: Chapter 4: Pages 126-131: The Theory of Movement: Moving by S-Expressions |
140 |
Sat, 28 Jan 2023 10:00 UTC |
45 mins |
6 |
Mastering Emacs: Chapter 4: Pages 132-136: The Theory of Movement: Other Movement Commands: Moving by Paragraph, Moving by Sentence, Moving by Defun, Moving by Pages |
141 |
Sun, 29 Jan 2023 10:00 UTC |
25 mins |
5 |
Mastering Emacs: Chapter 4: Pages 136-139: The Theory of Movement: Scrolling |
142 |
Fri, 03 Feb 2023 22:00 UTC |
35 mins |
8 |
Mastering Emacs: Chapter 4: Pages 140-143: The Theory of Movement: Bookmarks and Registers |
143 |
Sat, 04 Feb 2023 10:00 UTC |
40 mins |
8 |
Mastering Emacs: Chapter 4: Pages 143-147: The Theory of Movement: Selections and Regions |
144 |
Sun, 05 Feb 2023 10:00 UTC |
40 mins |
3 |
Mastering Emacs: Chapter 4: Pages 147-152: The Theory of Movement: Selection Compatibility Modes, Setting the Mark |
145 |
Fri, 10 Feb 2023 22:00 UTC |
45 mins |
6 |
Mastering Emacs: Chapter 4: Pages 152-156: The Theory of Movement: Searching and Indexing |
146 |
Sat, 11 Feb 2023 10:00 UTC |
50 mins |
3 |
Mastering Emacs: Chapter 4: Pages 157-160: The Theory of Movement: Searching and Indexing |
147 |
Sun, 12 Feb 2023 10:00 UTC |
45 mins |
4 |
Mastering Emacs: Chapter 4: Pages 160-161: The Theory of Movement: Searching and Indexing |
148 |
Fri, 17 Feb 2023 10:00 UTC |
50 mins |
8 |
Mastering Emacs: Chapter 4: Pages 162-167: The Theory of Movement: Occur: Print and edit lines matching an expression, Imenu: Jump to Definitions |
149 |
Sat, 18 Feb 2023 10:00 UTC |
45 mins |
5 |
Mastering Emacs: Chapter 4: Pages 167-172: The Theory of Movement: Helm: Incremental Completion and Search |
150 |
Sun, 19 Feb 2023 10:00 UTC |
40 mins |
5 |
Mastering Emacs: Chapter 4: Pages 173-176: The Theory of Movement: IDO: Interactively DO Things |
151 |
Fri, 24 Mar 2023 20:00 UTC |
40 mins |
7 |
Mastering Emacs: Chapter 4: Pages 176-181: The Theory of Movement: Grep: Searching the file system |
152 |
Sat, 25 Mar 2023 10:00 UTC |
40 mins |
5 |
Mastering Emacs: Chapter 4: Pages 181-184: The Theory of Movement: Other Movement Commands, Conclusion |
153 |
Sun, 26 Mar 2023 10:00 UTC |
35 mins |
5 |
Mastering Emacs: Chapter 5: Pages 185-188: The Theory of Editing: Killing and Yanking Text |
154 |
Fri, 31 Mar 2023 20:00 UTC |
45 mins |
6 |
Mastering Emacs: Chapter 5: Pages 188-193: The Theory of Editing: Killing versus Deleting, Killing Lines |
155 |
Sat, 01 Apr 2023 10:00 UTC |
35 mins |
4 |
Mastering Emacs: Chapter 5: Pages 192-194: The Theory of Editing: Yanking Text, Transposing Text |
156 |
Sun, 02 Apr 2023 10:00 UTC |
45 mins |
4 |
Mastering Emacs: Chapter 5: Pages 194-200: The Theory of Editing: Transpose Characters, Transpose Words, Tranpose S-expressions, Other Transpose Commands |
157 |
Fri, 21 Apr 2023 20:00 UTC |
45 mins |
5 |
Mastering Emacs: Chapter 5: Pages 200-204: The Theory of Editing: Filling and Commenting |
158 |
Sat, 22 Apr 2023 10:00 UTC |
35 mins |
4 |
Mastering Emacs: Chapter 5: Pages 204-207: The Theory of Editing: Search and Replace, Case Folding |
159 |
Sun, 23 Apr 2023 10:00 UTC |
40 mins |
6 |
Mastering Emacs: Chapter 5: Pages 207-208: The Theory of Editing: Regular Expressions: Backslashed Constructs |
160 |
Fri, 28 Apr 2023 20:00 UTC |
50 mins |
9 |
Mastering Emacs: Chapter 5: Pages 208-211: The Theory of Editing: Regular Expressions: Emacs-Only Features |
161 |
Fri, 05 May 2023 20:00 UTC |
40 mins |
9 |
Mastering Emacs: Chapter 5: Pages 211-213: The Theory of Editing: Regular Expressions: Capturing Groups, Invoking Elisp |
162 |
Sat, 06 May 2023 10:00 UTC |
35 mins |
8 |
Mastering Emacs: Chapter 5: Pages 213-217: The Theory of Editing: Changing Case, Counting Things |
163 |
Sun, 07 May 2023 10:00 UTC |
30 mins |
5 |
Mastering Emacs: Chapter 5: Pages 217-220: The Theory of Editing: Editable Occur, Deleting Duplicates, Flushing and Keeping Lines, Copying and Killing Matching Lines |
164 |
Fri, 26 May 2023 20:00 UTC |
40 mins |
6 |
Mastering Emacs: Chapter 5: Pages 220-222: The Theory of Editing: Joining and Splitting Lines |
165 |
Sat, 27 May 2023 10:00 UTC |
30 mins |
5 |
Mastering Emacs: Chapter 5: Pages 223-225: The Theory of Editing: Whitespace Commands |
166 |
Sun, 28 May 2023 10:00 UTC |
40 mins |
6 |
Mastering Emacs: Chapter 5: Pages 225-227: The Theory of Editing: Keyboard Macros: Basic Commands |
167 |
Fri, 07 Jul 2023 20:00 UTC |
45 mins |
9 |
Mastering Emacs: Chapter 5: Pages 227-228: The Theory of Editing: Keyboard Macros: Prefix Arguments |
168 |
Sat, 08 Jul 2023 10:00 UTC |
40 mins |
6 |
Mastering Emacs: Chapter 5: Pages 228-229: The Theory of Editing: Keyboard Macros: Counter |
169 |
Sun, 09 Jul 2023 10:00 UTC |
50 mins |
7 |
Mastering Emacs: Chapter 5: Pages 229-231: The Theory of Editing: Keyboard Macros: Querying User Input, Recursive Edit |
170 |
Fri, 14 Jul 2023 20:00 UTC |
40 mins |
9 |
Mastering Emacs: Chapter 5: Pages 232-233: The Theory of Editing: Keyboard Macros: Saving and Recalling |
171 |
Sat, 15 Jul 2023 10:00 UTC |
40 mins |
5 |
Mastering Emacs: Chapter 5: Pages 233-235: The Theory of Editing: Keyboard Macros: Lossage, Practical Uses for Keyboard Macros |
172 |
Sun, 16 Jul 2023 10:00 UTC |
35 mins |
6 |
Mastering Emacs: Chapter 5: Pages 235-236: The Theory of Editing: Keyboard Macros: Practical Uses for Keyboard Macros |
173 |
Sat, 22 Jul 2023 10:00 UTC |
30 mins |
5 |
Mastering Emacs: Chapter 5: Pages 236-239: The Theory of Editing: Text Expansion: Abbrev |
174 |
Sun, 23 Jul 2023 10:00 UTC |
45 mins |
5 |
Mastering Emacs: Chapter 5: Pages 239-242: The Theory of Editing: Text Expansion: DAbbrev and Hippie Expand |
175 |
Sat, 29 Jul 2023 10:00 UTC |
50 mins |
3 |
Mastering Emacs: Chapter 5: Pages 242-244: The Theory of Editing: Indenting the Current Line |
176 |
Sun, 30 Jul 2023 10:00 UTC |
40 mins |
5 |
Mastering Emacs: Chapter 5: Pages 245-246: The Theory of Editing: Indenting Regions |
177 |
Sat, 05 Aug 2023 10:00 UTC |
45 mins |
4 |
Mastering Emacs: Chapter 5: Pages 246-250: The Theory of Editing: Sorting |
178 |
Sun, 06 Aug 2023 10:00 UTC |
50 mins |
8 |
Mastering Emacs: Chapter 5: Pages 250-255: The Theory of Editing: Aligning |
179 |
Fri, 15 Sep 2023 20:00 UTC |
25 mins |
5 |
Mastering Emacs: Chapter 5: Pages 256-257: The Theory of Editing: Zapping Characters |
180 |
Sat, 16 Sep 2023 09:00 UTC |
45 mins |
4 |
Mastering Emacs: Chapter 5: Pages 257-259: The Theory of Editing: Spell Checking, Dictionary Lookup, Quoted Insert |
181 |
Fri, 22 Sep 2023 20:00 UTC |
50 mins |
4 |
Mastering Emacs: Chapter 6: Pages 260-268: The Practical of Emacs: Exploring Emacs |
182 |
Sat, 23 Sep 2023 09:00 UTC |
40 mins |
5 |
Mastering Emacs: Chapter 6: Pages 269-272: The Practical of Emacs: Project Management |
183 |
Sun, 24 Sep 2023 09:00 UTC |
60 mins |
9 |
Mastering Emacs: Chapter 6: Pages 272-274: The Practical of Emacs: Xref |
184 |
Fri, 29 Sep 2023 20:00 UTC |
40 mins |
7 |
Mastering Emacs: Chapter 6: Pages 274-276: The Practical of Emacs: Working with Log Files |
185 |
Sat, 30 Sep 2023 09:00 UTC |
35 mins |
7 |
Mastering Emacs: Chapter 6: Pages 276-277: The Practical of Emacs: Working with Log Files, Browsing Other Files |
186 |
Fri, 06 Oct 2023 20:00 UTC |
40 mins |
5 |
Mastering Emacs: Chapter 6: Pages 277-278: The Practical of Emacs: Dired: Thumbnail Image Browser |
187 |
Sat, 07 Oct 2023 09:00 UTC |
50 mins |
7 |
Mastering Emacs: Chapter 6: Pages 278-279: The Practical of Emacs: DocView: Viewing Rich Documents |
188 |
Tue, 26 Dec 2023 15:00 UTC |
30 mins |
6 |
Mastering Emacs: Chapter 6: Pages 279-282: The Practical of Emacs: TRAMP: Remote File Editing |
189 |
Wed, 27 Dec 2023 15:00 UTC |
65 mins |
5 |
Mastering Emacs: Chapter 6: Pages 282-287: The Practical of Emacs: TRAMP: The Default Directory and Remote Editing, Multi-Hops and User Switching |
190 |
Thu, 28 Dec 2023 21:00 UTC |
60 mins |
6 |
Mastering Emacs: Chapter 6: Pages 287-293: The Practical of Emacs: EWW: Emacs Web Wowser; Dired: Navigation, Marking and Unmarking |
191 |
Fri, 29 Dec 2023 15:00 UTC |
65 mins |
5 |
Mastering Emacs: Chapter 6: Pages 294-298: The Practical of Emacs: Dired: Operations, Dired-X |
192 |
Sat, 30 Dec 2023 12:00 UTC |
90 mins |
9 |
Mastering Emacs: Chapter 6: Pages 299-308: The Practical of Emacs: Dired: Working Across Directories, Shell Commands, Compiling in Emacs, Shells in Emacs: M-x shell, M-x ansi-term, M-x eshell; Chapter 7: Pages 319-314: Conclusion |
193 |
Sat, 27 Jul 2024 19:00 UTC |
45 mins |
5 |
Real Analysis: Preface; Sections 1.1-1.2: Pages 1-3: Foreword, The Concept of Number |
194 |
Fri, 02 Aug 2024 19:00 UTC |
40 mins |
5 |
Real Analysis: Sections 1.2-1.3: Pages 3-4: Irrationality of \( \sqrt{2} + \sqrt{3} \) |
195 |
Sat, 03 Aug 2024 19:00 UTC |
40 mins |
11 |
Real Analysis: Section 1.3: Pages 4-7: The Language of Set Theory |
196 |
Sun, 04 Aug 2024 19:00 UTC |
40 mins |
13 |
Real Analysis: Section 1.4: Pages 7-9: Real Numbers: Field, Ordered Field |
197 |
Sat, 17 Aug 2024 19:00 UTC |
40 mins |
7 |
Real Analysis: Section 1.4: Pages 9-10: Real Numbers: Density Property, Archimedean Property, Completeness Property |
198 |
Sat, 21 Sep 2024 19:00 UTC |
25 mins |
3 |
Real Analysis: Section 1.4: Pages 10-11: Real Numbers: Supremum and Infimum |