List questions from analytic-number-theory

Published on 26 Mar 2026 - 12:40

44

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Primes with $p^9\pm1 = q^4r$

Published on 02 Jun 2016 - 7:00

49

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Positive integral solutions of $\pi(x)+\pi(y)=2\pi\left(\dfrac{x+y}{2}\right)$

Published on 02 Jun 2016 - 8:56

131

Views

Characters on rings of residue classes modulo polynomials over finite fields

Published on 25 Mar 2026 - 17:37

125

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Legendre's Conjecture Theme (Part I)

Published on 26 Mar 2026 - 7:57

2.4k

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Is $ \sin: \mathbb{N} \to \mathbb{R}$ injective?

Published on 12 Apr 2026 - 14:25

78

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Convergence of the sum $\sum\limits_{p}^{}\sum\limits_{k=1}^{\infty}\frac{\log p}{p^{ks}}$

Published on 12 Apr 2026 - 19:47

1.6k

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Modular transformations of $\eta(\tau)$

Published on 10 Apr 2026 - 21:30

133

Views

Does satisfy $f(n)=\frac{\sigma(n)}{n^2}$ the hypothesis of Halasz’s inequality?

Published on 30 Mar 2026 - 3:22

266

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Equidistributed problem about polynomial with irrational coefficient

Published on 11 Apr 2026 - 12:42

89

Views

I have difficulties in solving problems in analytic number theory.

Published on 12 Apr 2026 - 9:51

547

Views

BBP formula for $e$

Published on 09 Apr 2026 - 8:37

133

Views

Good approximation to zeta function in the critical strip by smoothed sum

Published on 08 Apr 2026 - 23:05

82

Views

On computations related with $\lim_{x\to\infty} e^{-x}\sum_{\rho}\frac{(e^x)^\rho}{\rho}=0$

Published on 08 Jun 2016 - 16:03

696

Views

What is number theory today?

Published on 09 Apr 2026 - 0:38

List Question

If the value of Mertens function follow normal distribution, does this imply Riemann Hypothesis?

Primes with $p^9\pm1 = q^4r$

Positive integral solutions of $\pi(x)+\pi(y)=2\pi\left(\dfrac{x+y}{2}\right)$

Characters on rings of residue classes modulo polynomials over finite fields

Legendre's Conjecture Theme (Part I)

Is $ \sin: \mathbb{N} \to \mathbb{R}$ injective?

Convergence of the sum $\sum\limits_{p}^{}\sum\limits_{k=1}^{\infty}\frac{\log p}{p^{ks}}$

Modular transformations of $\eta(\tau)$

Does satisfy $f(n)=\frac{\sigma(n)}{n^2}$ the hypothesis of Halasz’s inequality?

Equidistributed problem about polynomial with irrational coefficient

I have difficulties in solving problems in analytic number theory.

BBP formula for $e$

Good approximation to zeta function in the critical strip by smoothed sum

On computations related with $\lim_{x\to\infty} e^{-x}\sum_{\rho}\frac{(e^x)^\rho}{\rho}=0$

What is number theory today?

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