Question

Why sum of zeta's approaches an integer?

score 52 · Answer 1 · 2026-03-27 07:20:04

52

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Why sum of zeta's approaches an integer?

Published on 27 Mar 2026 - 7:20

score 190 · Answer 2 · 2026-03-25 06:12:07

190

Views

Proof for this identity: $\sum\limits_{k=0}^\infty(\zeta(2k+3)-1) = \frac{1}{4}$

Published on 25 Mar 2026 - 6:12

score 750 · Answer 3 · 2018-04-03 00:41:35

750

Views

Proof of Zeta Function product formula

Published on 03 Apr 2018 - 0:41

score 477 · Answer 4 · 2026-03-22 10:38:38

477

Views

Reciprocal Zeta function: between 0 and 1/2?

Published on 22 Mar 2026 - 10:38

score 1.5k · Answer 5 · 2018-04-03 13:46:57

1.5k

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Taylor series expansion of the cotangent function and denominators of the Riemann zeta function at positive even integers

Published on 03 Apr 2018 - 13:46

score 494 · Answer 6 · 2018-04-03 14:26:59

494

Views

A formula for the Riemann zeta function at all positive integers

Published on 03 Apr 2018 - 14:26

score 253 · Answer 7 · 2026-03-24 23:51:36

253

Views

Why can the transfer operator of the Gauss (continued fraction) map be used to prove the Riemann hypothesis but not the map for the Engel expansion?

Published on 24 Mar 2026 - 23:51

score 56 · Answer 8 · 2026-03-25 01:18:42

56

Views

Are all denominators of $\zeta(2n)$ abundant, for $n\geq2$?

Published on 25 Mar 2026 - 1:18

score 100 · Answer 9 · 2026-03-22 19:53:13

100

Views

Can we rigorously define certainties of famous conjectures?

Published on 22 Mar 2026 - 19:53

score 461 · Answer 10 · 2026-03-25 04:10:39

461

Views

On questions about the integral of the logarithm of the Riemann zeta function II

Published on 25 Mar 2026 - 4:10

score 297 · Answer 11 · 2026-03-26 23:09:34

297

Views

Integral $\int_0^{\infty} \frac{x\cos^2 x}{e^x-1}dx$

Published on 26 Mar 2026 - 23:09

score 235 · Answer 12 · 2026-03-25 16:16:24

235

Views

What is the explicit formula for $\Phi(x)=\sum\limits_{n=1}^x\phi(n)$?

Published on 25 Mar 2026 - 16:16

score 145 · Answer 13 · 2026-03-25 22:06:08

145

Views

Riemann $\zeta$-function and a series involving Stirling numbers of first kind.

Published on 25 Mar 2026 - 22:06

score 35 · Answer 14 · 2026-03-26 06:22:19

35

Views

Is $x=-2n$ the solution of :$ \operatorname{erf}(1-x) +\zeta(x)=1$ with $n$ is a positive integer?

Published on 26 Mar 2026 - 6:22

score 335 · Answer 15 · 2026-03-25 01:18:38

335

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Questions on Convergence of Explicit Formulas for $f(x)=\sum\limits_{n=1}^x a(n)$ where $a(n)\in\{\left|\mu(n)\right|,\mu(n),\phi(n),\lambda(n)\}$

Published on 25 Mar 2026 - 1:18

List Question

Why sum of zeta's approaches an integer?

Proof for this identity: $\sum\limits_{k=0}^\infty(\zeta(2k+3)-1) = \frac{1}{4}$

Proof of Zeta Function product formula

Reciprocal Zeta function: between 0 and 1/2?

Taylor series expansion of the cotangent function and denominators of the Riemann zeta function at positive even integers

A formula for the Riemann zeta function at all positive integers

Why can the transfer operator of the Gauss (continued fraction) map be used to prove the Riemann hypothesis but not the map for the Engel expansion?

Are all denominators of $\zeta(2n)$ abundant, for $n\geq2$?

Can we rigorously define certainties of famous conjectures?

On questions about the integral of the logarithm of the Riemann zeta function II

Integral $\int_0^{\infty} \frac{x\cos^2 x}{e^x-1}dx$

What is the explicit formula for $\Phi(x)=\sum\limits_{n=1}^x\phi(n)$?

Riemann $\zeta$-function and a series involving Stirling numbers of first kind.

Is $x=-2n$ the solution of :$ \operatorname{erf}(1-x) +\zeta(x)=1$ with $n$ is a positive integer?

Questions on Convergence of Explicit Formulas for $f(x)=\sum\limits_{n=1}^x a(n)$ where $a(n)\in\{\left|\mu(n)\right|,\mu(n),\phi(n),\lambda(n)\}$

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