List questions from euler-mascheroni-constant

Published on 23 Mar 2026 - 18:11

85

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

Published on 24 Mar 2026 - 14:47

174

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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 24 Mar 2026 - 2:43

950

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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 22 Mar 2026 - 8:30

201

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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 24 Mar 2026 - 3:16

312

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Irrationality of the Euler–Mascheroni constant

Published on 24 Mar 2026 - 14:53

103

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

Published on 24 Mar 2026 - 7:16

106

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Evaluation of a series involving the harmonic number

Published on 22 Mar 2026 - 9:34

266

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Fractional part of the floor function Integral

Published on 24 Mar 2026 - 7:50

76

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How can one evaluate the following series:

Published on 24 Mar 2026 - 8:33

443

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

Published on 24 Mar 2026 - 0:25

300

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

Published on 24 Mar 2026 - 0:25

96

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

Published on 17 Mar 2026 - 3:18

76

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description in mathematics

Published on 24 Mar 2026 - 8:12

232

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Approaching The Euler-Mascheroni Constant

Published on 24 Mar 2026 - 6:43

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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