List questions from euler-mascheroni-constant

Published on 25 Dec 2019 - 11:55

218

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Proving that the constant in Mertens' third theorem is $e^{-\gamma}$

Published on 02 Jan 2020 - 21:00

164

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Proving the convergence of an infinite product

Published on 04 Jan 2020 - 2:58

125

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Why does Euler's number occur in the Chudnovsky Formula for calculating $\pi$?

Published on 20 Jan 2020 - 17:07

37

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Calculating large exponential shares / probabilities

Published on 22 Jan 2020 - 23:37

94

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How to show that the integral $\int_0^1 \ln(1-x^{1/n})dx=-\sum_{k=1}^n\frac{1}{k}$

Published on 06 Feb 2020 - 9:50

36

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Distributional integral involving $\frac{e^{i\omega x}}{\omega}$

Published on 13 Feb 2020 - 4:01

1.5k

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An approximation related to Euler's constant and the Harmonic number

Published on 18 Feb 2020 - 8:30

708

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Closed form of Euler-type sum over zeta functions $\sum _{k=2}^{\infty } \frac{\zeta (k)}{k^2}$?

Published on 05 Mar 2020 - 15:27

2.1k

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How do I prove that this limit is equal to e without L'Hospital?

Published on 14 Mar 2020 - 17:02

61

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Is the number $1.201~943\dots$ of any significance?

Published on 15 Mar 2020 - 0:16

39

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Evaluating a limit to get an integral for Euler's Constant

Published on 16 Mar 2020 - 16:01

66

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Relationships between irrational numbers

Published on 24 Mar 2020 - 0:25

88

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A question about the constant in $\sum_{2\leqslant n\leqslant x}\frac{1}{n\log n}=\log(\log x)+B+O\left(\frac{1}{x\log x}\right)$

Published on 07 Apr 2020 - 8:06

52

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Using pentration with non-integer values: how to solve 2^^^1.5?

Published on 25 Mar 2026 - 10:52

List Question

Derivative power rule conditions

Proving that the constant in Mertens' third theorem is $e^{-\gamma}$

Proving the convergence of an infinite product

Why does Euler's number occur in the Chudnovsky Formula for calculating $\pi$?

Calculating large exponential shares / probabilities

How to show that the integral $\int_0^1 \ln(1-x^{1/n})dx=-\sum_{k=1}^n\frac{1}{k}$

Distributional integral involving $\frac{e^{i\omega x}}{\omega}$

An approximation related to Euler's constant and the Harmonic number

Closed form of Euler-type sum over zeta functions $\sum _{k=2}^{\infty } \frac{\zeta (k)}{k^2}$?

How do I prove that this limit is equal to e without L'Hospital?

Is the number $1.201~943\dots$ of any significance?

Evaluating a limit to get an integral for Euler's Constant

Relationships between irrational numbers

A question about the constant in $\sum_{2\leqslant n\leqslant x}\frac{1}{n\log n}=\log(\log x)+B+O\left(\frac{1}{x\log x}\right)$

Using pentration with non-integer values: how to solve 2^^^1.5?

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