List questions from euler-mascheroni-constant

Published on 25 Mar 2026 - 1:22

86

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How is $1- \frac{1}{2} +\frac{1}{3}...$ till infinity $= 2\log_e2$?

Published on 25 Mar 2026 - 7:48

175

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On the series $\sum_{n=1}^{\infty} \frac{\left \lfloor \log_2 n \right \rfloor}{2n(2n+1)(2n+2)}$

Published on 25 Mar 2026 - 1:20

959

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Using the Euler-Maclaurin formula to approximate Euler's constant, $\gamma := \lim_{n\to\infty}\left(-\ln n+\sum_{k=0}^n\frac1n\right)$

Published on 02 May 2026 - 20:26

202

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Check proof of $\int_{0}^{\infty}\sin(x\sinh\alpha)\sin(x\cosh\alpha)\ln(x)\frac{dx}{x}=-\alpha\gamma$

Published on 25 Mar 2026 - 1:18

313

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Irrationality of the Euler–Mascheroni constant

Published on 25 Mar 2026 - 1:24

104

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Nontrivial solutions to $\sum f(x) - \int f(x) = \gamma $?

Published on 25 Mar 2026 - 1:17

111

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Evaluation of a series involving the harmonic number

Published on 07 May 2026 - 5:11

267

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Fractional part of the floor function Integral

Published on 25 Mar 2026 - 1:22

78

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How can one evaluate the following series:

Published on 06 Apr 2026 - 7:25

445

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Evaluation of $\int_{0}^{1}\int_{0}^{1}\{\frac{1}{\,x}\}\{\frac{1}{x\,y}\}dx\,dy\,$

Published on 10 May 2026 - 12:35

305

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Evaluation of $\sum_{n\geq1}\frac{1}{n}\ln(1+\frac{1}{n})$

Published on 10 May 2026 - 13:27

98

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Are there any theorem relating transcendency/irrationality of Euler's constant and the Riemann hypothesis?

Published on 10 May 2026 - 13:50

78

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description in mathematics

Published on 05 Apr 2026 - 8:51

233

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Approaching The Euler-Mascheroni Constant

Published on 25 Mar 2026 - 1:15

List Question

How is $ \sum [(2/(n-1)!) + (1/n!)] = 2e + e - 1$?

How is $1- \frac{1}{2} +\frac{1}{3}...$ till infinity $= 2\log_e2$?

On the series $\sum_{n=1}^{\infty} \frac{\left \lfloor \log_2 n \right \rfloor}{2n(2n+1)(2n+2)}$

Using the Euler-Maclaurin formula to approximate Euler's constant, $\gamma := \lim_{n\to\infty}\left(-\ln n+\sum_{k=0}^n\frac1n\right)$

Check proof of $\int_{0}^{\infty}\sin(x\sinh\alpha)\sin(x\cosh\alpha)\ln(x)\frac{dx}{x}=-\alpha\gamma$

Irrationality of the Euler–Mascheroni constant

Nontrivial solutions to $\sum f(x) - \int f(x) = \gamma $?

Evaluation of a series involving the harmonic number

Fractional part of the floor function Integral

How can one evaluate the following series:

Evaluation of $\int_{0}^{1}\int_{0}^{1}\{\frac{1}{\,x}\}\{\frac{1}{x\,y}\}dx\,dy\,$

Evaluation of $\sum_{n\geq1}\frac{1}{n}\ln(1+\frac{1}{n})$

Are there any theorem relating transcendency/irrationality of Euler's constant and the Riemann hypothesis?

description in mathematics

Approaching The Euler-Mascheroni Constant

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