Question

Integral representation of $f(x)=0^x$

score 116 · Answer 1 · 2026-04-11 16:19:28

116

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Integral representation of $f(x)=0^x$

Published on 11 Apr 2026 - 16:19

score 69 · Answer 2 · 2026-04-09 08:58:45

69

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Question regarding Zeta function representation

Published on 09 Apr 2026 - 8:58

score 134 · Answer 3 · 2026-04-12 01:19:10

134

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Riemann's functional equation for $\zeta(s)$: what am I doing wrong?

Published on 12 Apr 2026 - 1:19

score 94 · Answer 4 · 2026-04-11 20:23:20

94

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Accessible explanation of the link between the distribution of primes and the Riemann zeta function.

Published on 11 Apr 2026 - 20:23

score 89 · Answer 5 · 2021-03-24 15:55:26

Why does the expansion of the Riemann zeta function for $\zeta(3)$ to $\sum_{n=1}^{\infty}\frac{n^3}{n^6}$ not allow for substitution of the latter?

score 47 · Answer 6 · 2021-03-27 14:33:44

47

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Large t closed-form asymptotics for Riemann $\Xi(t)$ function or $Z(t)$ function

Published on 27 Mar 2021 - 14:33

score 51 · Answer 7 · 2021-03-28 01:44:49

51

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Simultaneous zeros of $\sum_{n=1}^{\infty}f(n)\cos(g(x,n))$ and $\sum_{n=1}^{\infty}f(n)\cos(g(x,n)+\frac{\pi}{2})$

Published on 28 Mar 2021 - 1:44

score 154 · Answer 8 · 2021-03-28 05:15:43

154

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Prove that $\int_{0}^{\infty} \frac{\zeta(\pi \cdot s) - \zeta(e \cdot s)}{ \zeta(\pi \cdot s) \zeta(e \cdot s) \cdot s} = 3 + \ln(\frac{1}{\pi^3}) $

Published on 28 Mar 2021 - 5:15

score 130 · Answer 9 · 2026-04-11 17:53:32

Riemann–von Mangoldt formula: Is $\ln(T/2\pi!)$ the number of non-trivial zeroes along the critical line of the zeta function?

score 217 · Answer 10 · 2021-03-28 23:22:20

217

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validity of simple argument for showing $\sum 1/p$ grows like $\log \log x$

Published on 28 Mar 2021 - 23:22

score 207 · Answer 11 · 2026-04-03 01:35:46

207

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Asymptotic series for the inverse Riemann ζ-function

Published on 03 Apr 2026 - 1:35

score 261 · Answer 12 · 2026-03-27 02:34:11

261

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A disproof of RH?

Published on 27 Mar 2026 - 2:34

score 73 · Answer 13 · 2026-04-12 01:58:51

73

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Why does this method of assigning a value to a divergent series fail?

Published on 12 Apr 2026 - 1:58

score 99 · Answer 14 · 2026-04-12 00:23:27

99

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On a question regarding Zeta function integral similar to Balazard, Saias ,Yor integral

Published on 12 Apr 2026 - 0:23

score 66 · Answer 15 · 2026-03-29 03:51:14

66

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Question related to formulas for $f_a(s)=(2\ a)^{-s} \left(\zeta\left(s,\frac{1}{2\ a}\right)-\zeta\left(s,\frac{1}{2\ a}+\frac{1}{2}\right)\right)$

Published on 29 Mar 2026 - 3:51

List Question

Integral representation of $f(x)=0^x$

Question regarding Zeta function representation

Riemann's functional equation for $\zeta(s)$: what am I doing wrong?

Accessible explanation of the link between the distribution of primes and the Riemann zeta function.

Why does the expansion of the Riemann zeta function for $\zeta(3)$ to $\sum_{n=1}^{\infty}\frac{n^3}{n^6}$ not allow for substitution of the latter?

Large t closed-form asymptotics for Riemann $\Xi(t)$ function or $Z(t)$ function

Simultaneous zeros of $\sum_{n=1}^{\infty}f(n)\cos(g(x,n))$ and $\sum_{n=1}^{\infty}f(n)\cos(g(x,n)+\frac{\pi}{2})$

Prove that $\int_{0}^{\infty} \frac{\zeta(\pi \cdot s) - \zeta(e \cdot s)}{ \zeta(\pi \cdot s) \zeta(e \cdot s) \cdot s} = 3 + \ln(\frac{1}{\pi^3}) $

Riemann–von Mangoldt formula: Is $\ln(T/2\pi!)$ the number of non-trivial zeroes along the critical line of the zeta function?

validity of simple argument for showing $\sum 1/p$ grows like $\log \log x$

Asymptotic series for the inverse Riemann ζ-function

A disproof of RH?

Why does this method of assigning a value to a divergent series fail?

On a question regarding Zeta function integral similar to Balazard, Saias ,Yor integral

Question related to formulas for $f_a(s)=(2\ a)^{-s} \left(\zeta\left(s,\frac{1}{2\ a}\right)-\zeta\left(s,\frac{1}{2\ a}+\frac{1}{2}\right)\right)$

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