Question

Can we showed the existence of $a_i,b_i$ such that $\zeta(3)(2C-1)=1+\sum_{i=1}^{\infty}(-1)^{b_i}(\zeta(a_i)-1)$

score 24 · Answer 1 · 2026-03-28 11:54:05

24

Views

Can we showed the existence of $a_i,b_i$ such that $\zeta(3)(2C-1)=1+\sum_{i=1}^{\infty}(-1)^{b_i}(\zeta(a_i)-1)$

Published on 28 Mar 2026 - 11:54

score 87 · Answer 2 · 2026-04-02 09:17:38

87

Views

Closed form for a family of integrals of the form $\int_{0}^{\infty}\Phi(x)x^{m}\cosh(x)dx$ and $\int_{0}^{\infty}\Phi(x)x^{m}\sinh(x)dx$

Published on 02 Apr 2026 - 9:17

score 71 · Answer 3 · 2026-03-25 15:57:13

71

Views

Convolution Method for Bound

Published on 25 Mar 2026 - 15:57

score 53 · Answer 4 · 2026-04-02 01:01:29

53

Views

A question about bounds of an expression involving the Riemann zeta function

Published on 02 Apr 2026 - 1:01

score 85 · Answer 5 · 2026-03-25 17:16:57

85

Views

Mellin transform triads

Published on 25 Mar 2026 - 17:16

score 108 · Answer 6 · 2023-05-16 19:50:12

108

Views

Riemann-Zeta-Like Series

Published on 16 May 2023 - 19:50

score 1.3k · Answer 7 · 2026-03-29 08:44:22

1.3k

Views

Is this reasonable closed form approximation for the value of $\zeta(3)$ using trigonometric functions just a coincidence?

Published on 29 Mar 2026 - 8:44

score 74 · Answer 8 · 2023-05-20 13:54:55

74

Views

Prove that $\int_{0}^{\infty}\left(e^{-\frac{t^{6}}{3+\sqrt{3}}}\right)dt<\zeta(3)$

Published on 20 May 2023 - 13:54

score 123 · Answer 9 · 2026-03-27 07:50:48

123

Views

Show that $\int_0^1 \frac{Li_{1 - 2m}(1 - 1/x)}{x} dx = 0$.

Published on 27 Mar 2026 - 7:50

score 179 · Answer 10 · 2026-03-28 07:41:30

179

Views

Degree of $\zeta(3)$ as a period

Published on 28 Mar 2026 - 7:41

score 71 · Answer 11 · 2023-05-22 17:14:52

71

Views

conclusion of simple pole of $ -\frac{\zeta'(s)}{\zeta(s)}$

Published on 22 May 2023 - 17:14

score 104 · Answer 12 · 2023-05-23 23:14:16

104

Views

Smallest value of $d$ such that $\frac{\left(\sum_{i=1}^d i^{-p}\right)^2}{\sum_{i=1}^d i^{-2p}}\ge \frac{1}{2}\frac{\zeta(p)^2}{\zeta(2p)}$

Published on 23 May 2023 - 23:14

score 119 · Answer 13 · 2023-05-24 09:07:01

119

Views

How to find the poles of $\frac{\zeta'(s)}{\zeta(s)}$?

Published on 24 May 2023 - 9:07

score 39 · Answer 14 · 2026-03-26 01:07:27

39

Views

Zeta function for Powerful Polynomials over Finite Field

Published on 26 Mar 2026 - 1:07

score 209 · Answer 15 · 2026-03-26 03:00:19

209

Views

Alternating Dirichlet series involving the Möbius function.

Published on 26 Mar 2026 - 3:00

List Question

Can we showed the existence of $a_i,b_i$ such that $\zeta(3)(2C-1)=1+\sum_{i=1}^{\infty}(-1)^{b_i}(\zeta(a_i)-1)$

Closed form for a family of integrals of the form $\int_{0}^{\infty}\Phi(x)x^{m}\cosh(x)dx$ and $\int_{0}^{\infty}\Phi(x)x^{m}\sinh(x)dx$

Convolution Method for Bound

A question about bounds of an expression involving the Riemann zeta function

Mellin transform triads

Riemann-Zeta-Like Series

Is this reasonable closed form approximation for the value of $\zeta(3)$ using trigonometric functions just a coincidence?

Prove that $\int_{0}^{\infty}\left(e^{-\frac{t^{6}}{3+\sqrt{3}}}\right)dt<\zeta(3)$

Show that $\int_0^1 \frac{Li_{1 - 2m}(1 - 1/x)}{x} dx = 0$.

Degree of $\zeta(3)$ as a period

conclusion of simple pole of $ -\frac{\zeta'(s)}{\zeta(s)}$

Smallest value of $d$ such that $\frac{\left(\sum_{i=1}^d i^{-p}\right)^2}{\sum_{i=1}^d i^{-2p}}\ge \frac{1}{2}\frac{\zeta(p)^2}{\zeta(2p)}$

How to find the poles of $\frac{\zeta'(s)}{\zeta(s)}$?

Zeta function for Powerful Polynomials over Finite Field

Alternating Dirichlet series involving the Möbius function.

Trending Questions

Popular # Hahtags

Popular Questions