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meets.lisp
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((:date "2021-03-05 15:30"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 1.1-1.3; Pages 13-16; Principle of Induction; Divisibility"
:duration 40
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(:date "2021-03-06 10:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 1.1; Page 13; Principle of induction (Recap)"
:duration 40
:members 5)
(:date "2021-03-07 10:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 1.2; Page 14; Divisibility (Recap)"
:duration 40
:members 5)
(:date "2021-03-08 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 1.2-1.3; Pages 14-16; Divisibility, GCD"
:duration 40
:members 6)
(:date "2021-03-09 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 1.4-1.5; Pages 16-18; Prime numbers, Fundamental theorem of arithmetic "
:duration 40
:members 10)
(:date "2021-03-10 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 1.6; Pages 18-19; The series of reciprocals of primes"
:duration 40
:members 10)
(:date "2021-03-11 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 1.7-1.8; Pages 19-21; The Euclidean algorithm, GCD of more than two numbers"
:duration 40
:members 11)
(:date "2021-03-12 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 2.1-2.2; Pages 24-25; The Möbius function \\( \\mu(n) \\)"
:duration 40
:members 9)
(:date "2021-03-14 09:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 2.1-2.2; Pages 24-25 (Recap)"
:duration 40
:members 5)
(:date "2021-03-15 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 2.3-2.4; Pages 25-27; The Euler totient function \\( \\varphi(n) \\), A relation connecting \\( \\varphi \\) and \\( \\mu \\)"
:duration 40
:members 12)
(:date "2021-03-16 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 2.5-2.6; Pages 27-30; A product formula for \\( \\varphi(n) \\), The Dirichlet product of arithmetical functions"
:duration 40
:members 14)
(:date "2021-03-17 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 2.7-2.8; Pages 20-33; Dirichlet inverses and the Möbius inversion formula, The Mangoldt function \\( \\Lambda(n) \\)"
:duration 40
:members 12)
(:date "2021-03-18 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 2.7-2.8; Pages 20-33 (Recap)"
:duration 40
:members 10)
(:date "2021-03-19 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 2.9-2.10; Pages 33-36; Multiplicative functions, Multiplicative functions and Dirichlet multiplication"
:duration 40
:members 9)
(:date "2021-03-22 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "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) \\) "
:duration 40
:members 10)
(:date "2021-03-23 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 2.14; Pages 39-40; Generalized convolutions"
:duration 40
:members 12)
(:date "2021-03-24 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 2.15; Pages 41-42; Formal power series"
:duration 30
:members 11)
(:date "2021-03-25 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 2.16-2.17; Pages 42-45; The Bell series of an arithmetical function, Bell series and Dirichlet multiplication"
:duration 40
:members 10)
(:date "2021-03-26 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 2.18-2.19; Pages 44-46; Derivatives of arithmetical functions, The Selberg identity"
:duration 40
:members 10)
(:date "2021-03-29 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 3.1-3.3; Pages 52-55; The big oh notation, Euler's summation formula"
:duration 40
:members 11)
(:date "2021-03-30 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 3.4; Pages 55-57; Some elementary asymptotic formulas"
:duration 40
:members 12)
(:date "2021-03-31 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 3.5; Pages 57-59; The average order of \\( d(n) \\)"
:duration 40
:members 12)
(:date "2021-04-02 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 3.6; Pages 60-61; The average order of the divisor functions \\( \\sigma_{\\alpha}(n) \\)"
:duration 40
:members 12)
(:date "2021-04-05 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 3.7; Pages 61-62; The average order of \\( \\varphi(n) \\)"
:duration 40
:members 11)
(:date "2021-04-06 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "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"
:duration 40
:members 11)
(:date "2021-04-07 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "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"
:duration 40
:members 10)
(:date "2021-04-09 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 3.12; Pages 69-70; Another identity for the partial sums of a Dirichlet product"
:duration 30
:members 9)
(:date "2021-04-12 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 4.1-4.2; Pages 74-76; Cheybyshev's functions \\( \\psi(x) \\) and \\( \\vartheta(x) \\)"
:duration 40
:members 8)
(:date "2021-04-12 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 4.1-4.2; Pages 74-76; Cheybyshev's functions \\( \\psi(x) \\) and \\( \\vartheta(x) \\)"
:duration 40
:members 8)
(:date "2021-04-20 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 4.3; Pages 76-79; Relations connecting \\( \\vartheta(x) \\) and \\( \\pi(x) \\) (Abel's identity)"
:duration 40
:members 7)
(:date "2021-04-21 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 4.4; Pages 79-80; Some equivalent forms of the prime number theorem (Theorem 4.4)"
:duration 40
:members 7)
(:date "2021-04-22 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 4.4; Pages 80-82; Some equivalent forms of the prime number theorem (Theorem 4.5)"
:duration 40
:members 9)
(:date "2021-04-26 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 4.5; Pages 82-84; Inequalities of \\( \\pi(n) \\) and \\( p_n \\) (Theorem 4.6)"
:duration 40
:members 9)
(:date "2021-04-27 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 4.5; Pages 84-85; Inequalities of \\( \\pi(n) \\) and \\( p_n \\) (Theorem 4.7)"
:duration 40
:members 9)
(:date "2021-04-28 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 4.6-4.7; Pages 85-89; Shapiro's Tauberian theorem"
:duration 40
:members 8)
(:date "2021-04-29 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 4.8; Pages 89-91; An asymptotic formula for the partial sums \\( \\sum_{p \\le x} (1/p) \\)"
:duration 40
:members 8)
(:date "2021-04-30 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 4.9; Pages 91-94; The partial sums of the Möbius function (Theorems 4.13-4.14)"
:duration 40
:members 8)
(:date "2021-05-03 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 4.9; Pages 94-97; The partial sums of the Möbius function (Theorem 4.15)"
:duration 40
:members 7)
(:date "2021-05-05 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 4.9; Pages 97-98; The partial sums of the Möbius function (Theorem 4.16)"
:duration 40
:members 7)
(:date "2021-05-06 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 5.1-5.2; Pages 106-110; Definition and basic properties of congruences, Residue classes and complete residue systems"
:duration 40
:members 5)
(:date "2021-05-07 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 5.3; Pages 110-113; Linear congruences"
:duration 40
:members 9)
(:date "2021-05-11 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 5.4; Pages 113-114; Reduced residue systems and the Euler-Fermat theorem"
:duration 40
:members 10)
(:date "2021-05-12 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 5.5-5.6; Pages 114-116; Polynomial congruences modulo \\( p \\), Lagrange's theorem, Applications of Lagrange's theorem (Wilson's theorem)"
:duration 40
:members 10)
(:date "2021-05-13 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 5.6-5.7; Pages 116-118; Wolstenholme's theorem, The Chinese remainder theorem"
:duration 40
:members 11)
(:date "2021-05-14 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 5.8; Pages 118-120; Applications of the Chinese remainder theorem"
:duration 40
:members 9)
(:date "2021-05-19 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 5.9; Pages 120-122; Polynomial congruences with prime power moduli"
:duration 40
:members 8)
(:date "2021-05-20 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 5.10; Pages 123-124; The principle of cross-classification (Theorem 5.31)"
:duration 40
:members 8)
(:date "2021-05-21 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 5.10-5.11; Pages 124-126; The principle of cross-classification (Theorem 5.32), A decomposition property of reduced residue system"
:duration 40
:members 7)
(:date "2021-05-25 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 6.1-6.3; Pages 129-131; Definitions, Examples of groups and subgroups, Elementary properties of groups"
:duration 40
:members 12)
(:date "2021-05-26 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 6.4; Pages 131-133; Construction of subgroups"
:duration 40
:members 11)
(:date "2021-05-27 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 6.5-6.6; Pages 133-136; Characters of finite abelian groups, The character group"
:duration 40
:members 12)
(:date "2021-05-28 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 6.7; Pages 136-137; The orthogonality relations for characters "
:duration 40
:members 11)
(:date "2021-05-31 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 6.8; Pages 137-140; Dirichlet characters"
:duration 40
:members 11)
(:date "2021-06-01 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 6.9; Pages 140-141; Sums involving Dirichlet characters"
:duration 40
:members 9)
(:date "2021-06-02 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 6.10; Pages 141-143; The nonvanishing of \\( L(1, \\chi) \\) for real nonprincipal \\( \\chi \\)"
:duration 40
:members 7)
(:date "2021-06-03 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 7.1-7.2; Pages 146-147; Dirichlet's theorem for primes of the form \\( 4n - 1 \\) and \\( 4n + 1 \\)"
:duration 40
:members 7)
(:date "2021-06-04 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 7.3-7.4; Pages 148-151; The plan of the proof of Dirichlet's theorem, Proof of Lemma 7.4"
:duration 30
:members 7)
(:date "2021-06-07 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 7.5; Pages 151-152; Proof of Lemma 7.5"
:duration 40
:members 7)
(:date "2021-06-10 18:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "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"
:duration 40
:members 7)
(:date "2021-06-15 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 8.1-8.2; Pages 157-160; Functions periodic modulo \\( k \\), Existence of finite Fourier series for periodic arithmetical functions"
:duration 40
:members 9)
(:date "2021-06-16 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 8.3; Pages 160-162; Ramanujan's sum and generalizations"
:duration 40
:members 8)
(:date "2021-06-17 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 8.4; Pages 162-164; Multiplicative properties of the sums \\( s_k(n) \\)"
:duration 40
:members 13)
(:date "2021-06-18 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 8.5; Pages 165-166; Gauss sums associated with Dirichlet characters"
:duration 40
:members 14)
(:date "2021-06-21 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 8.6-8.7; Pages 166-168; Dirichlet characters with nonvanishing Gauss sums, Induced moduli and primitive characters"
:duration 40
:members 12)
(:date "2021-06-22 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 8.8; Pages 168-170; Further properties of induced moduli"
:duration 40
:members 11)
(:date "2021-06-23 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 8.9-8.10; Pages 171-173; The conductor of a character, Primitive characters and separable Gauss sums"
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:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 9.1-9.2; Pages 178-180; Quadratic residues, Legendre's symbol and its properties"
:duration 40
:members 9)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 9.3; Pages 181-182; Evaluation of \\( (-1 \\mid p) \\) and \\( 2 \\mid p \\)"
:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 9.4; Pages 182-185; Gauss' lemma"
:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 9.5; Pages 185-187; The quadratic reciprocity law"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 9.7; Pages 187-190; The Jacobi symbol"
:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 9.8; Pages 190-192; Applications to Diophantine equations"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 9.9; Pages 192-193; Gauss sums and the quadratic reciprocity law (Theorems 9.13-9.14)"
:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 9.9; Pages 193-195; Gauss sums and the quadratic reciprocity law (Theorem 9.15)"
:duration 40
:members 8)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 9.10-9.11; Pages 195-201; The reciprocity law for quadratic Gauss sums, Another proof of the quadratic reciprocity law"
:duration 40
:members 8)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "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 \\)"
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:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:duration 40
:members 8)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 10.8-10.9; Pages 211-212; The nonexistence of primitive roots in the remaining cases, The number of primitive roots mod \\( m \\)"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 10.10; Pages 213-217; The index calculus"
:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 10.11; Pages 218-219; Primitive roots and Dirichlet characters"
:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 10.13; Pages 221-223; Primitive Dirichlet characters mod \\( p^{\\alpha} \\)"
:duration 40
:members 8)
(:date "2021-07-27 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 11.1-11.2; Pages 224-225; The half-plane of absolute convergence of a Dirichlet series"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 11.3-11.4; Pages 226-229; The function defined by a Dirichlet series, Multiplication of Dirichlet series"
:duration 40
:members 6)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 11.5; Pages 230-231; Euler products"
:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 11.5; Pages 231-232; Euler products (Examples)"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 11.6; Pages 232-234; The half-plane of convergence of a Dirichlet series"
:duration 40
:members 7)
(:date "2021-08-04 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 11.7; Pages 234-236; Analytic properties of Dirichlet series"
:duration 40
:members 6)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 11.8-11.9; Pages 236-239; Dirichlet series with nonnegative coefficients, Dirichlet series expressed as exponentials of Dirichlet series"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 11.8-11.10; Pages 240-241; Mean value formulas for Dirichlet series"
:duration 40
:members 7)
(:date "2021-08-10 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 11.11; Page 242; An integral formula for the coefficients of a Dirichlet series"
:duration 40
:members 6)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 11.12; Pages 243-245; An integral formula for the partial sums of a Dirichlet series (Lemma 4)"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:duration 30
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 12.2-12.3; Pages 250-252; Properties of the gamma function, Integral representation of the Hurwitz zeta function"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 12.4; Pages 253-254; A contour integral representation for the Hurwitz zeta function"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:duration 40
:members 6)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 12.7; Pages 257-259; Hurwitz's formula"
:duration 35
:members 6)
(:date "2021-08-20 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 12.8; Pages 259-260; The functional equation for the Riemann zeta function"
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 12.9-12.10; Pages 261-262; The functional equations for the Hurwitz zeta function and L-functions"
:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 12.10-12.11; Pages 262-265; The functional equations for the L-functions, Evaluation of \\( \\zeta(-n, a) \\)"
:duration 40
:members 7)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 12.12: Pages 265-266; Properties of Bernoulli numbers and Bernoulli polynomials"
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 12.12-12.13: Pages 267-268; Properties of Bernoulli numbers and Bernoulli polynomials, Formulas for \\( L(0, \\chi) \\)"
:duration 45
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 12.14: Pages 268-270; Approximation of \\( \\zeta(s, a) \\) by finite sums"
:duration 30
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:members 5)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 13.1-13.2: Pages 278-281; The plan of the proof, Lemmas"
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:members 5)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 13.2-13.3: Pages 281-284; Lemmas, A contour integral representation for \\( \\psi_1(x)/x^2 \\)"
:duration 40
:members 6)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:duration 40
:members 5)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 13.10: Pages 294-296; Applications to the divisor function"
:duration 40
:members 5)
(:date "2021-09-16 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 13.11: Pages 297-299; Application to Euler's totient"
:duration 40
:members 4)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 13.12-14.2: Pages 299-307; Extension of Pólya's inequality for character sums, Geometric representation of partitions"
:duration 40
:members 4)
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 14.3; Pages 308-310; Generating functions for partitions"
:duration 30
:members 4)
(:date "2021-09-22 17:00"
:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 14.4; Pages 311-313; Euler's pentagonal-number theorem"
:duration 35
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "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) \\)"
:duration 45
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Section 14.8; Pages 318-320; Jacobi's triple product identity"
:duration 45
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
:topic "Sections 14.9-14.10; Pages 321-322; Consequences of Jacobi's identity, Logarithmic differentiation of generationf functions"
:duration 40
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:slug "iant"
:title "Introduction to Analytic Number Theory (Apostol, 1976)"
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:duration 35
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:topic "Problems 1-4: Weird Algorithm, Missing Number, Repetitions, Increasing Array"
:duration 40
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:slug "cses"
:title "CSES Problem Set"
:topic "Problems 5-6: Permutations, Number Spiral"
:duration 35
:members 23)
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:slug "cses"
:title "Competitive Programmer's Handbook (Antti Laaksonen, 2018)"
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:title "CSES Problem Set"
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:title "CSES Problem Set"
:topic "Problems 12-13: Palindrome Reorder, Gray Code"
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:slug "cses"
:title "Competitive Programmer's Handbook (Antti Laaksonen, 2018)"
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:slug "cses"
:title "Competitive Programmer's Handbook (Antti Laaksonen, 2018)"
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:slug "cses"
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:slug "cses"
:title "CSES Problem Set"
:title "Competitive Programmer's Handbook (Antti Laaksonen, 2018)"
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:slug "cses"
:title "CSES Problem Set"
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:slug "cses"
:title "CSES Problem Set"
:topic "Problem 19: Grid Paths"
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:title "CSES Problem Set"
:title "Competitive Programmer's Handbook (Antti Laaksonen, 2018)"
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