Question

$\frac {\zeta(2)}{e^2} + \frac {\zeta(3)}{e^3} + \frac {\zeta(4)}{e^4} + \frac {\zeta(5)}{e^5}.....?$

score 289 · Answer 1 · 2026-03-26 06:08:12

289

Views

$\frac {\zeta(2)}{e^2} + \frac {\zeta(3)}{e^3} + \frac {\zeta(4)}{e^4} + \frac {\zeta(5)}{e^5}.....?$

Published on 26 Mar 2026 - 6:08

score 138 · Answer 2 · 2021-11-03 21:40:36

138

Views

Triple product $\displaystyle\prod_{k=1}^{\infty} \prod_{n=1}^{\infty} \prod_{m=1}^{\infty}(k+n+m)^{\frac{(-1)^{k+m+n}}{k+m+n}}$

Published on 03 Nov 2021 - 21:40

score 117 · Answer 3 · 2021-11-24 09:46:24

117

Views

Book suggestions to learn more about Euler-Mascheroni constant

Published on 24 Nov 2021 - 9:46

score 107 · Answer 4 · 2021-12-01 21:26:12

107

Views

How can I continue my proof that the difference of cosine integrals is the Euler Mascheroni constant?

Published on 01 Dec 2021 - 21:26

score 419 · Answer 5 · 2022-01-02 19:01:50

419

Views

Valid proof that Euler's Constant $\gamma$ is between $0$ and $1$?

Published on 02 Jan 2022 - 19:01

score 566 · Answer 6 · 2026-02-25 14:49:30

566

Views

Is $\sum_{j=1}^\infty\sum_{n=1}^\infty\left(\frac{e^{-j/n}}{n^2}-\frac{e^{-n/j}}{j^2}\right)=\gamma ?$

Published on 25 Feb 2026 - 14:49

score 282 · Answer 7 · 2022-01-25 00:29:06

282

Views

A sum that's possibly equal to the Euler-Mascheroni Constant $\sum_{n=1}^\infty \frac{\ln n!}{n^3}$

Published on 25 Jan 2022 - 0:29

score 238 · Answer 8 · 2022-02-28 19:59:52

238

Views

How to show that Euler constant lies in $(0,1)$

Published on 28 Feb 2022 - 19:59

score 247 · Answer 9 · 2022-03-21 21:24:37

247

Views

Where does the Euler Mascheroni constant come from in the formula $\sum_{n≤x} 1/n= \log(x)+\gamma +O(1/x)$

Published on 21 Mar 2022 - 21:24

score 90 · Answer 10 · 2022-04-10 23:09:09

90

Views

Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(n!)}$

Published on 10 Apr 2022 - 23:09

score 105 · Answer 11 · 2022-04-28 13:14:33

105

Views

Generalization of $\gamma$ as limit involving primes

Published on 28 Apr 2022 - 13:14

score 79 · Answer 12 · 2022-06-02 18:01:16

79

Views

How to find an equivalent of $\int_{1}^{+\infty}\exp{(-x^n)}dx$?

Published on 02 Jun 2022 - 18:01

score 1.3k · Answer 13 · 2022-06-10 08:45:55

1.3k

Views

Euler-Mascheroni constant in Bessel function integral

Published on 10 Jun 2022 - 8:45

score 61 · Answer 14 · 2022-07-18 22:29:54

61

Views

A series on Stieltjes constants, $\sum_{n=0}^\infty \frac{\gamma_n}{n!}$, where is the mistake?

Published on 18 Jul 2022 - 22:29

score 332 · Answer 15 · 2022-07-27 19:31:29

332

Views

Elementary proof for $\varphi(n)\ge\frac n{2\log(\log(n))}$

Published on 27 Jul 2022 - 19:31

List Question

$\frac {\zeta(2)}{e^2} + \frac {\zeta(3)}{e^3} + \frac {\zeta(4)}{e^4} + \frac {\zeta(5)}{e^5}.....?$

Triple product $\displaystyle\prod_{k=1}^{\infty} \prod_{n=1}^{\infty} \prod_{m=1}^{\infty}(k+n+m)^{\frac{(-1)^{k+m+n}}{k+m+n}}$

Book suggestions to learn more about Euler-Mascheroni constant

How can I continue my proof that the difference of cosine integrals is the Euler Mascheroni constant?

Valid proof that Euler's Constant $\gamma$ is between $0$ and $1$?

Is $\sum_{j=1}^\infty\sum_{n=1}^\infty\left(\frac{e^{-j/n}}{n^2}-\frac{e^{-n/j}}{j^2}\right)=\gamma ?$

A sum that's possibly equal to the Euler-Mascheroni Constant $\sum_{n=1}^\infty \frac{\ln n!}{n^3}$

How to show that Euler constant lies in $(0,1)$

Where does the Euler Mascheroni constant come from in the formula $\sum_{n≤x} 1/n= \log(x)+\gamma +O(1/x)$

Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(n!)}$

Generalization of $\gamma$ as limit involving primes

How to find an equivalent of $\int_{1}^{+\infty}\exp{(-x^n)}dx$?

Euler-Mascheroni constant in Bessel function integral

A series on Stieltjes constants, $\sum_{n=0}^\infty \frac{\gamma_n}{n!}$, where is the mistake?

Elementary proof for $\varphi(n)\ge\frac n{2\log(\log(n))}$

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