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Selberg's formula: Problem 24, Chapter 4 of Introduction to Analytic Number Theory by Apostol:

score 180 · Answer 1 · 2026-04-11 01:22:50

180

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Selberg's formula: Problem 24, Chapter 4 of Introduction to Analytic Number Theory by Apostol:

Published on 11 Apr 2026 - 1:22

score 73 · Answer 2 · 2026-04-14 16:58:12

73

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On the average order of $2^{\Omega(n)}$.

Published on 14 Apr 2026 - 16:58

score 261 · Answer 3 · 2026-04-11 17:19:27

261

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On an inequality connecting polynomials and their derivatives

Published on 11 Apr 2026 - 17:19

score 227 · Answer 4 · 2026-04-14 13:01:15

227

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Analogs of $\sum_{n\ge1}\frac{n^{13}}{e^{2\pi n}-1}=\frac{1}{24}$

Published on 14 Apr 2026 - 13:01

score 62 · Answer 5 · 2026-04-14 17:50:34

62

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Error term in Bombieri-Vinogradov theorem

Published on 14 Apr 2026 - 17:50

score 384 · Answer 6 · 2026-04-13 11:18:23

384

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Möbius inversion and Möbius function as sum of cosines

Published on 13 Apr 2026 - 11:18

score 66 · Answer 7 · 2026-04-11 23:46:32

66

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The study of the theorem of Tong on the error term of the partial sum of the $\tau$ function

Published on 11 Apr 2026 - 23:46

score 71 · Answer 8 · 2026-04-14 01:43:03

71

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Von Mangoldt explicit formula for elliptic curves

Published on 14 Apr 2026 - 1:43

score 156 · Answer 9 · 2026-03-26 14:33:24

156

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An "almost all" result for the binary Goldbach problem

Published on 26 Mar 2026 - 14:33

score 217 · Answer 10 · 2026-04-12 17:55:03

217

Views

Is there a general relationship between definite integrals over functions involving the complete elliptic integral of the first kind and zeta values?

Published on 12 Apr 2026 - 17:55

score 100 · Answer 11 · 2026-04-13 01:57:31

100

Views

Abscissa of convergence of a Dirichlet series with bounded coefficients and analytic continuation

Published on 13 Apr 2026 - 1:57

score 263 · Answer 12 · 2026-04-17 08:28:52

263

Views

Unit square integral $\int_{0}^{1} \int_{0}^{1} \left( - \frac{\ln(xy)}{1-xy} \right)^{m} dx dy $

Published on 17 Apr 2026 - 8:28

score 122 · Answer 13 · 2026-04-17 09:06:46

122

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$\sum_{n=1}^{+\infty}\frac{\Lambda\left(n\right)\varphi\left(n\right)}{n^{s}}$ and Riemann Zeta function

Published on 17 Apr 2026 - 9:06

score 80 · Answer 14 · 2026-04-25 13:13:49

80

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Are these two definitions of the Mellin transform equivalent?

Published on 25 Apr 2026 - 13:13

score 138 · Answer 15 · 2026-04-15 03:48:06

138

Views

Montgomery and Vaughan's Multiplicative Number Theory Theorem $5.2$

Published on 15 Apr 2026 - 3:48

List Question

Selberg's formula: Problem 24, Chapter 4 of Introduction to Analytic Number Theory by Apostol:

On the average order of $2^{\Omega(n)}$.

On an inequality connecting polynomials and their derivatives

Analogs of $\sum_{n\ge1}\frac{n^{13}}{e^{2\pi n}-1}=\frac{1}{24}$

Error term in Bombieri-Vinogradov theorem

Möbius inversion and Möbius function as sum of cosines

The study of the theorem of Tong on the error term of the partial sum of the $\tau$ function

Von Mangoldt explicit formula for elliptic curves

An "almost all" result for the binary Goldbach problem

Is there a general relationship between definite integrals over functions involving the complete elliptic integral of the first kind and zeta values?

Abscissa of convergence of a Dirichlet series with bounded coefficients and analytic continuation

Unit square integral $\int_{0}^{1} \int_{0}^{1} \left( - \frac{\ln(xy)}{1-xy} \right)^{m} dx dy $

$\sum_{n=1}^{+\infty}\frac{\Lambda\left(n\right)\varphi\left(n\right)}{n^{s}}$ and Riemann Zeta function

Are these two definitions of the Mellin transform equivalent?

Montgomery and Vaughan's Multiplicative Number Theory Theorem $5.2$

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