Question

The Hurwitz zeta function at the positive integers

score 126 · Answer 1 · 2026-04-09 18:18:15

126

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The Hurwitz zeta function at the positive integers

Published on 09 Apr 2026 - 18:18

score 79 · Answer 2 · 2022-03-16 16:22:56

79

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Proving that $|\zeta(\sigma+it)|^{-1}\leqslant 4$

Published on 16 Mar 2022 - 16:22

score 227 · Answer 3 · 2026-03-27 17:51:59

227

Views

Dirichlet Series of Square Full Integers.

Published on 27 Mar 2026 - 17:51

score 96 · Answer 4 · 2026-04-12 22:28:42

96

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Irrationality Result

Published on 12 Apr 2026 - 22:28

score 59 · Answer 5 · 2026-03-27 17:52:22

59

Views

Question on convergence of explicit fomulas for summatory functions related to Dirichlet series

Published on 27 Mar 2026 - 17:52

score 61 · Answer 6 · 2026-04-13 08:39:41

61

Views

How fast does $\prod_{p\leq x}\frac 1{1-p^{-k}}$ diverge when $0<k<1$?

Published on 13 Apr 2026 - 8:39

score 169 · Answer 7 · 2022-03-29 12:36:00

169

Views

A ‘quite’ elementary function $f(x)=\frac{x^{s-1}}{s^{x}-1}$ related to Riemann-Zeta function

Published on 29 Mar 2022 - 12:36

score 87 · Answer 8 · 2026-03-31 17:20:50

87

Views

calculate the integral $\int_{0}^{+\infty} \frac{t^{z-1}\cos(t)}{e^{t}-1} dt$

Published on 31 Mar 2026 - 17:20

score 130 · Answer 9 · 2026-04-11 14:50:35

130

Views

Function used to represent the Riemann Zeta function is analytic

Published on 11 Apr 2026 - 14:50

score 1.1k · Answer 10 · 2022-04-09 22:13:39

1.1k

Views

Is there any analysis for this series $\phi=\sum_{n_1, n_2,n_3 \in Z}^\infty e^{-\sqrt{n_1^2 + n_2 ^2+n_3^2}}$

Published on 09 Apr 2022 - 22:13

score 95 · Answer 11 · 2026-03-31 17:20:50

95

Views

Sum of infinite series, Are both of these series equal? 1/2+1/3+1/4...

Published on 31 Mar 2026 - 17:20

score 160 · Answer 12 · 2026-04-12 23:43:26

160

Views

Prove that Riemann zeta function $\zeta(z)$ is defined for $z \in \mathbb{C}$ such that $Rez > 1$

Published on 12 Apr 2026 - 23:43

score 71 · Answer 13 · 2026-04-10 02:19:44

71

Views

Different ways to average an arithmetic function

Published on 10 Apr 2026 - 2:19

score 562 · Answer 14 · 2022-04-17 21:40:52

562

Views

How to prove $\int_0^\infty\frac {\tanh(x)-x\exp(-x)}{x^2}dx=\frac{\zeta'(0)}{\zeta(0)}-\frac{\zeta'(2)}{\zeta(2)}+\gamma-\frac73\log(2)$?

Published on 17 Apr 2022 - 21:40

score 154 · Answer 15 · 2026-03-27 16:47:53

154

Views

$\lim_{s \to 1^+} 1/\zeta(s) = 0$ obvious or not?

Published on 27 Mar 2026 - 16:47

List Question

The Hurwitz zeta function at the positive integers

Proving that $|\zeta(\sigma+it)|^{-1}\leqslant 4$

Dirichlet Series of Square Full Integers.

Irrationality Result

Question on convergence of explicit fomulas for summatory functions related to Dirichlet series

How fast does $\prod_{p\leq x}\frac 1{1-p^{-k}}$ diverge when $0<k<1$?

A ‘quite’ elementary function $f(x)=\frac{x^{s-1}}{s^{x}-1}$ related to Riemann-Zeta function

calculate the integral $\int_{0}^{+\infty} \frac{t^{z-1}\cos(t)}{e^{t}-1} dt$

Function used to represent the Riemann Zeta function is analytic

Is there any analysis for this series $\phi=\sum_{n_1, n_2,n_3 \in Z}^\infty e^{-\sqrt{n_1^2 + n_2 ^2+n_3^2}}$

Sum of infinite series, Are both of these series equal? 1/2+1/3+1/4...

Prove that Riemann zeta function $\zeta(z)$ is defined for $z \in \mathbb{C}$ such that $Rez > 1$

Different ways to average an arithmetic function

How to prove $\int_0^\infty\frac {\tanh(x)-x\exp(-x)}{x^2}dx=\frac{\zeta'(0)}{\zeta(0)}-\frac{\zeta'(2)}{\zeta(2)}+\gamma-\frac73\log(2)$?

$\lim_{s \to 1^+} 1/\zeta(s) = 0$ obvious or not?

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