Meeting Log

The following table is a log of all Offbeat Computation Club meetings. All future meetings are written in italic font in darker coloured cells. The schedule and plan for future meetings are tentative and subject to change.

# Date Duration Participants Topic
1 Fri, 05 Mar 2021 15:30 UTC 40 mins 4 Introduction to Analytic Number Theory (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): Sections 1.2; Page 14; Divisibility (Recap)
4 Mon, 08 Mar 2021 18:00 UTC 40 mins 6 Introduction to Analytic Number Theory (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): Section 2.14; Pages 39-40; Generalized convolutions
17 Wed, 24 Mar 2021 18:00 UTC 30 mins 11 Introduction to Analytic Number Theory (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): Section 5.3; Pages 110-113; Linear congruences
42 Tue, 11 May 2021 18:00 UTC 40 mins 10 Introduction to Analytic Number Theory (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): Section 6.8; Pages 137-140; Dirichlet characters
54 Tue, 01 Jun 2021 18:00 UTC 40 mins 9 Introduction to Analytic Number Theory (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): Section 9.4; Pages 182-185; Gauss' lemma
71 Thu, 01 Jul 2021 17:00 UTC 40 mins 7 Introduction to Analytic Number Theory (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): Section 11.5; Pages 230-231; Euler products
88 Fri, 30 Jul 2021 17:00 UTC 40 mins 7 Introduction to Analytic Number Theory (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): 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 (Apostol, 1976): Sections 14.9-14.10; Pages 321-322; Consequences of Jacobi's identity, Logarithmic differentiation of generationf functions
120 Fri, 01 Oct 2021 17:00 UTC 35 mins 7 Introduction to Analytic Number Theory (Apostol, 1976): Sections 14.10-14.11; Pages 323-324; Recursion formula for \( p_{A,f}(n) \), The partition identities of Ramanujan
121 Tue, 19 Oct 2021 17:00 UTC 40 mins 46 CSES Problem Set: Problems 1-4: Weird Algorithm, Missing Number, Repetitions, Increasing Array
122 Wed, 20 Oct 2021 17:00 UTC 35 mins 23 CSES Problem Set: Problems 5-6: Permutations, Number Spiral
123 Thu, 21 Oct 2021 17:00 UTC 45 mins 19 Competitive Programmer's Handbook (Antti Laaksonen, 2018): Chapter 1: Pages 1-7: Introduction, Programming languages, Input and output, Working with numbers
124 Tue, 26 Oct 2021 17:00 UTC 35 mins 14 CSES Problem Set: Problem 7: Two Knights
125 Wed, 27 Oct 2021 17:00 UTC 30 mins 12 CSES Problem Set: Problems 8-9: Two Sets, Bit Strings
126 Thu, 28 Oct 2021 17:00 UTC 45 mins 13 CSES Problem Set: Problems 10-11: Trailing Zeros, Coin Piles
127 Tue, 02 Nov 2021 17:00 UTC 45 mins 12 CSES Problem Set: Problems 12-13: Palindrome Reorder, Gray Code
128 Wed, 03 Nov 2021 17:00 UTC 40 mins 8 Competitive Programmer's Handbook (Antti Laaksonen, 2018): Chapter 1: Pages 8-12: Shortening code, Sum formulas, Set Theory
129 Tue, 16 Nov 2021 17:00 UTC 35 mins 7 CSES Problem Set: Problem 14: Tower of Hanoi
130 Wed, 17 Nov 2021 17:00 UTC 35 mins 6 CSES Problem Set: Problem 15: Creating Strings
131 Tue, 23 Nov 2021 17:00 UTC 40 mins 7 Competitive Programmer's Handbook (Antti Laaksonen, 2018): Chapter 1: Pages 13-16: Logic, Functions, Logarithms, Contests
132 Wed, 24 Nov 2021 17:00 UTC 45 mins 9 Competitive Programmer's Handbook (Antti Laaksonen, 2018): Chapter 2: Pages 17-20: Time complexity, Calculation rules, Complexity classes
133 Tue, 07 Dec 2021 17:00 UTC 40 mins - CSES Problem Set: Problems 16-17: Apple Division, Chessboard and Queens

Summary of Past Meetings

Club Meeting Logs

The list below has links to meeting logs for specific tracks of activities: