List questions from analytic-number-theory

Published on 15 Aug 2023 - 22:46

60

Views

An identity on the Gauss sum

Published on 18 Aug 2023 - 14:05

101

Views

Residue of a Dirichlet Series at $s=1$

Published on 25 Mar 2026 - 16:13

277

Views

Where are the zeros of a slightly perturbed Riemann Zeta function?

Published on 26 Mar 2026 - 6:07

166

Views

Cauchy sequences converge

Published on 22 Aug 2023 - 1:30

61

Views

Support of Bohr-Jessen random variable at 1

Published on 28 Mar 2026 - 10:16

62

Views

Siegel-Walfisz theorem in proof of Vinogradov's three primes theorem

Published on 25 Aug 2023 - 8:20

80

Views

Bounds for vertical integrals and Mellin transforms

Published on 25 Mar 2026 - 18:46

68

Views

Examples of functions $h$ for which asymptotic $\pi(x+h(x))-\pi(x) \sim \frac{h(x)}{\log x} \ (x \to \infty)$ fails

Published on 28 Aug 2023 - 1:36

56

Views

Bounds for Dirichlet $L$-functions on the critical line

Published on 25 Mar 2026 - 16:21

105

Views

An asymptotics for $\sum_{N\leq p\leq 2N}\frac{1}{p^2}$ for primes in a residue class

Published on 31 Aug 2023 - 2:46

347

Views

Approximate the sum of a non $C^1(0,1)$ function by its integral

Published on 01 Sep 2023 - 9:14

136

Views

Integral representation of prime zeta function

Published on 03 Apr 2026 - 6:52

341

Views

Does the mean ratio of the largest prime factor in prime gaps to the lower bound of the gap converge?

Published on 04 Sep 2023 - 9:42

143

Views

Sums of squares using the circle method

Published on 28 Mar 2026 - 6:58

List Question

Compute limit of a function of the first $n$ prime numbers

An identity on the Gauss sum

Residue of a Dirichlet Series at $s=1$

Where are the zeros of a slightly perturbed Riemann Zeta function?

Cauchy sequences converge

Support of Bohr-Jessen random variable at 1

Siegel-Walfisz theorem in proof of Vinogradov's three primes theorem

Bounds for vertical integrals and Mellin transforms

Examples of functions $h$ for which asymptotic $\pi(x+h(x))-\pi(x) \sim \frac{h(x)}{\log x} \ (x \to \infty)$ fails

Bounds for Dirichlet $L$-functions on the critical line

An asymptotics for $\sum_{N\leq p\leq 2N}\frac{1}{p^2}$ for primes in a residue class

Approximate the sum of a non $C^1(0,1)$ function by its integral

Integral representation of prime zeta function

Does the mean ratio of the largest prime factor in prime gaps to the lower bound of the gap converge?

Sums of squares using the circle method

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