List questions from analytic-number-theory

Published on 05 Jan 2024 - 18:35

74

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A question about Landau’s theorem for Dirichlet series and integrals

Published on 26 Mar 2026 - 6:05

60

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Questions regarding the function $\Omega(n)$

Published on 25 Mar 2026 - 14:21

53

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Estimate for sum over zeros of Riemann zeta function

Published on 03 Apr 2026 - 16:25

513

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A heuristic approach to the Prime number theorem

Published on 11 Jan 2024 - 18:34

81

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On Ingham's proof of $\zeta(1+it) \ne 0$

Published on 03 Apr 2026 - 16:28

100

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An infinite series of powers of fractions.

Published on 29 Mar 2026 - 12:05

282

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Understanding Lemma 4.6. of Titchmarsh's book

Published on 17 Jan 2024 - 13:50

143

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Question about Salem's integral equation reformulation of Riemann hypothesis

Published on 26 Mar 2026 - 6:07

96

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Explaining the irregularities of the number of Goldbach pairs

Published on 25 Mar 2026 - 19:10

77

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What is known about the equation $x^2+ay^2=b^2$, where $a$ is a fixed square free positive integer and $b$ is a fixed positive integer.

Published on 19 Jan 2024 - 21:30

100

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Proof of $\sum_{n=1}^\infty a_n n^{-s} = s\int_1^\infty A(x) x^{-s-1}\, dx$ and $\limsup_{x\to\infty} \frac{\log|A(x)|}{\log x} = \sigma_c$

Published on 26 Mar 2026 - 6:08

150

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Theorem 4.15. of Titchmarsh's Book of the Zeta Function

Published on 31 Mar 2026 - 13:02

310

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An accurate, rapidly converging estimate of $\sum_{j = 1}^{\infty}\frac 1 {j^2}$ (the Basel Problem) using only elementary calculus

Published on 23 Jan 2024 - 17:01

171

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Proof of Theorem 1.1 of Analytic Number Theory by Iwaniec & Kowalski

Published on 25 Mar 2026 - 22:05

List Question

Chevyshev's Identity for $\psi$ function

A question about Landau’s theorem for Dirichlet series and integrals

Questions regarding the function $\Omega(n)$

Estimate for sum over zeros of Riemann zeta function

A heuristic approach to the Prime number theorem

On Ingham's proof of $\zeta(1+it) \ne 0$

An infinite series of powers of fractions.

Understanding Lemma 4.6. of Titchmarsh's book

Question about Salem's integral equation reformulation of Riemann hypothesis

Explaining the irregularities of the number of Goldbach pairs

What is known about the equation $x^2+ay^2=b^2$, where $a$ is a fixed square free positive integer and $b$ is a fixed positive integer.

Proof of $\sum_{n=1}^\infty a_n n^{-s} = s\int_1^\infty A(x) x^{-s-1}\, dx$ and $\limsup_{x\to\infty} \frac{\log|A(x)|}{\log x} = \sigma_c$

Theorem 4.15. of Titchmarsh's Book of the Zeta Function

An accurate, rapidly converging estimate of $\sum_{j = 1}^{\infty}\frac 1 {j^2}$ (the Basel Problem) using only elementary calculus

Proof of Theorem 1.1 of Analytic Number Theory by Iwaniec & Kowalski

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