List questions from analytic-number-theory

Published on 19 Apr 2020 - 23:56

52

Views

An inequality that involves consecutive primes, prime gaps and roots of prime numbers as a weak form of Firoozbakht's conjecture

Published on 25 Mar 2026 - 20:11

689

Views

Asymptotic expansion of the logarithmic integral

Published on 20 Apr 2020 - 8:46

73

Views

Bounding a weighted sum over primes by a sum over integers

Published on 01 Apr 2026 - 2:48

57

Views

Investigate the size of $\sum_{x=0}^{p-1}e^{2\pi ix^2/p}$

Published on 25 Mar 2026 - 16:08

59

Views

Dirichlet Class Number Formula Proof

Published on 26 Mar 2026 - 17:29

381

Views

Value of $\sum_{n=1}^{\infty}\frac{1}{\sqrt{n!}}$?

Published on 28 Mar 2026 - 9:33

304

Views

A question about Dirichlet series

Published on 25 Mar 2026 - 19:01

157

Views

Find the limit of a recurrence relation

Published on 25 Mar 2026 - 1:23

69

Views

Evaluating the product $\prod_{p}\, \left(1- \dfrac{2}{p^s}\right)^{-1}\,\left(1 - \dfrac{1}{p^s} \right)^2\,$

Published on 30 Mar 2026 - 7:11

79

Views

How can we prove the following statement?

Published on 23 Apr 2020 - 3:58

269

Views

Unable to understand the proof of positivity of generalized Vandermonde matrix

Published on 23 Apr 2020 - 7:00

381

Views

What is known about the functional square root of the Riemann Zeta function?

Published on 30 Mar 2026 - 10:17

60

Views

Help needed in proving a result assuming Prime number theorem

Published on 23 Apr 2020 - 12:59

286

Views

Dirichlet Series in analytic number theory

Published on 25 Mar 2026 - 17:44

List Question

Show that $\sum_{n=1}^N \ \sum_{x^2+y^2 = n,} 1 = \pi N +\mathcal{O}\bigl( \sqrt{N}\bigr)$

An inequality that involves consecutive primes, prime gaps and roots of prime numbers as a weak form of Firoozbakht's conjecture

Asymptotic expansion of the logarithmic integral

Bounding a weighted sum over primes by a sum over integers

Investigate the size of $\sum_{x=0}^{p-1}e^{2\pi ix^2/p}$

Dirichlet Class Number Formula Proof

Value of $\sum_{n=1}^{\infty}\frac{1}{\sqrt{n!}}$?

A question about Dirichlet series

Find the limit of a recurrence relation

Evaluating the product $\prod_{p}\, \left(1- \dfrac{2}{p^s}\right)^{-1}\,\left(1 - \dfrac{1}{p^s} \right)^2\,$

How can we prove the following statement?

Unable to understand the proof of positivity of generalized Vandermonde matrix

What is known about the functional square root of the Riemann Zeta function?

Help needed in proving a result assuming Prime number theorem

Dirichlet Series in analytic number theory

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