Question

Do the Prime Number Theorem and/or Riemann Hypothesis predict a limit on the accuracy of this formula for $\gamma$?

score 277 · Answer 1 · 2026-05-10 15:25:45

277

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Do the Prime Number Theorem and/or Riemann Hypothesis predict a limit on the accuracy of this formula for $\gamma$?

Published on 10 May 2026 - 15:25

score 62 · Answer 2 · 2026-03-25 06:13:09

62

Views

Simplify $\lim_{n \to \infty}\frac{(1-A)(1-B)}{(2-A-B)(A-B)}=\frac{\gamma(\gamma-1)}{2\gamma-1}?$

Published on 25 Mar 2026 - 6:13

score 154 · Answer 3 · 2026-05-10 17:17:38

154

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Prove $\sum_{n=1}^\infty \frac{\zeta(2n+1) - 1}{(2n+1) 2^{2n}} = 1 + \ln(2) - \ln(3) - \gamma$

Published on 10 May 2026 - 17:17

score 232 · Answer 4 · 2026-05-10 17:55:20

232

Views

Computing the error function for Euler's number

Published on 10 May 2026 - 17:55

score 4.9k · Answer 5 · 2026-05-10 20:36:57

4.9k

Views

What is $\sinh(x)$? And $i\pi$

Published on 10 May 2026 - 20:36

score 1.3k · Answer 6 · 2026-03-25 06:10:53

1.3k

Views

Can someone shed some light on this inequality?

Published on 25 Mar 2026 - 6:10

score 211 · Answer 7 · 2026-05-10 14:32:32

211

Views

Prove $\gamma = \frac{1}{2} + 2 \cdot \int_0^\infty \frac{\sin(\arctan(x))}{(e^{2 \pi x} - 1) \cdot \sqrt{1 + x^2} } dx$

Published on 10 May 2026 - 14:32

score 842 · Answer 8 · 2026-03-25 06:11:11

842

Views

Why did the natural constant e had to be 2.718..

Published on 25 Mar 2026 - 6:11

score 150 · Answer 9 · 2026-03-27 22:09:32

150

Views

Calculation of Integrals with reciproce Logarithm, Euler's constant $\gamma=0.577...$

Published on 27 Mar 2026 - 22:09

score 138 · Answer 10 · 2026-03-25 09:28:35

138

Views

How to evaluate $\sum_{n=1}^{\infty}\frac{H_{kn}^2-[\gamma+\ln(kn)]^2}{n}?$

Published on 25 Mar 2026 - 9:28

score 46 · Answer 11 · 2026-03-25 06:12:46

46

Views

How to prove that Re(zeta(1+i/n)) is equal to the euler constant as n -> infinity

Published on 25 Mar 2026 - 6:12

score 73 · Answer 12 · 2026-03-25 06:12:45

73

Views

What is the limit of $(1+(\frac23)^n)^{1/n}$?

Published on 25 Mar 2026 - 6:12

score 51 · Answer 13 · 2026-04-09 07:32:19

51

Views

Implicit equation $\ln(\frac{x}{y})-y=1$ to rectangular equation not in terms of $W(x)$

Published on 09 Apr 2026 - 7:32

score 126 · Answer 14 · 2026-03-25 06:10:39

126

Views

Does $180i = \pi(i)$ through euler's identity by $e^{90i} = 0 + i$

Published on 25 Mar 2026 - 6:10

score 131 · Answer 15 · 2026-03-25 06:09:27

131

Views

A limit tends to Euler's constant

Published on 25 Mar 2026 - 6:09

List Question

Do the Prime Number Theorem and/or Riemann Hypothesis predict a limit on the accuracy of this formula for $\gamma$?

Simplify $\lim_{n \to \infty}\frac{(1-A)(1-B)}{(2-A-B)(A-B)}=\frac{\gamma(\gamma-1)}{2\gamma-1}?$

Prove $\sum_{n=1}^\infty \frac{\zeta(2n+1) - 1}{(2n+1) 2^{2n}} = 1 + \ln(2) - \ln(3) - \gamma$

Computing the error function for Euler's number

What is $\sinh(x)$? And $i\pi$

Can someone shed some light on this inequality?

Prove $\gamma = \frac{1}{2} + 2 \cdot \int_0^\infty \frac{\sin(\arctan(x))}{(e^{2 \pi x} - 1) \cdot \sqrt{1 + x^2} } dx$

Why did the natural constant e had to be 2.718..

Calculation of Integrals with reciproce Logarithm, Euler's constant $\gamma=0.577...$

How to evaluate $\sum_{n=1}^{\infty}\frac{H_{kn}^2-[\gamma+\ln(kn)]^2}{n}?$

How to prove that Re(zeta(1+i/n)) is equal to the euler constant as n -> infinity

What is the limit of $(1+(\frac23)^n)^{1/n}$?

Implicit equation $\ln(\frac{x}{y})-y=1$ to rectangular equation not in terms of $W(x)$

Does $180i = \pi(i)$ through euler's identity by $e^{90i} = 0 + i$

A limit tends to Euler's constant

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