List questions from euler-mascheroni-constant

Published on 14 Apr 2020 - 23:46

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Prove that $\gamma^\Omega$ is larger than $\Omega^\gamma$, where $\gamma$ is the Euler-Mascheroni constant and $\Omega$ is the omega constant

Published on 24 Apr 2020 - 17:46

315

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Integral representations of the Euler–Mascheroni constant

Published on 30 Apr 2020 - 8:07

285

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The Cauchy principal value of the Riemann Zeta function

Published on 25 Mar 2026 - 12:54

95

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How to solve $\sum _{n=0}^{\infty }\:\frac{n^a}{n!}$ for any $a \geq 1$ in general?

Published on 13 May 2020 - 11:28

102

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Proving $\int_{0}^{1}\int_{0}^{1}\frac{x-1}{(1-xy)\ln(xy)} \mathrm dy \mathrm dx =\gamma$

Published on 25 May 2020 - 10:45

272

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Imaginary numbers calculation for DFT

Published on 27 May 2020 - 19:04

67

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Number of iterations to find number with precision

Published on 16 Jun 2020 - 0:08

66

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Does the green area converge to a known constant when $n\to \infty$?

Published on 19 Jun 2020 - 23:26

144

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What is $\cos x-\cos2x+\cos3x-\cos4x...\pm\cos(Nx)$?

Published on 20 Jun 2020 - 9:18

105

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Prove that $\int_{0}^{\infty} e^{-x}x\log{x}\ dx =1-\gamma$

Published on 23 Feb 2026 - 10:17

245

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Why is the irrationality of $\gamma$ so ellusive? (Euler–Mascheroni constant)

Published on 05 Jul 2020 - 10:42

156

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Does this $\int_{0}^{\infty}(\frac{\log x}{e^x})^n dx$ always have a closed form for $n$ being positive integer ? what about its irrationality?

Published on 14 Jul 2020 - 18:31

269

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How do we show that $\ln{2}-\gamma=\sum_{n=1}^{\infty}{\zeta(2n+1)\over 2^{2n}(2n+1)}?$

Published on 21 Mar 2026 - 20:18

30

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Variable of polynomial equation

Published on 22 Mar 2026 - 2:41

List Question

A class of generalized Integrals involving polygamma functions

Prove that $\gamma^\Omega$ is larger than $\Omega^\gamma$, where $\gamma$ is the Euler-Mascheroni constant and $\Omega$ is the omega constant

Integral representations of the Euler–Mascheroni constant

The Cauchy principal value of the Riemann Zeta function

How to solve $\sum _{n=0}^{\infty }\:\frac{n^a}{n!}$ for any $a \geq 1$ in general?

Proving $\int_{0}^{1}\int_{0}^{1}\frac{x-1}{(1-xy)\ln(xy)} \mathrm dy \mathrm dx =\gamma$

Imaginary numbers calculation for DFT

Number of iterations to find number with precision

Does the green area converge to a known constant when $n\to \infty$?

What is $\cos x-\cos2x+\cos3x-\cos4x...\pm\cos(Nx)$?

Prove that $\int_{0}^{\infty} e^{-x}x\log{x}\ dx =1-\gamma$

Why is the irrationality of $\gamma$ so ellusive? (Euler–Mascheroni constant)

Does this $\int_{0}^{\infty}(\frac{\log x}{e^x})^n dx$ always have a closed form for $n$ being positive integer ? what about its irrationality?

How do we show that $\ln{2}-\gamma=\sum_{n=1}^{\infty}{\zeta(2n+1)\over 2^{2n}(2n+1)}?$

Variable of polynomial equation

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