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About generalized binomial theorem and Grünwald-Letnikov fractional derivative

score 268 · Answer 1 · 2026-03-25 13:54:05

268

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About generalized binomial theorem and Grünwald-Letnikov fractional derivative

Published on 25 Mar 2026 - 13:54

score 87 · Answer 2 · 2026-03-25 15:12:13

87

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Does this sum $(1-\frac{1}{2^2})^{(1-\frac{1}{3^2})^{...^{(1-\frac{1}{p^2})}}}$ also related to Riemann zeta function?

Published on 25 Mar 2026 - 15:12

score 59 · Answer 3 · 2020-02-28 13:14:48

59

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Is Riemann's explicit formula only valid if his hypothesis is true?

Published on 28 Feb 2020 - 13:14

score 48 · Answer 4 · 2026-03-25 22:09:25

48

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intersection of numbers on wolfram

Published on 25 Mar 2026 - 22:09

score 96 · Answer 5 · 2020-02-29 21:02:50

96

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Proving Integral with Riemann Zeta Function

Published on 29 Feb 2020 - 21:02

score 143 · Answer 6 · 2026-03-31 18:20:50

143

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Riemann's Zeta function. Globally convergent sum.

Published on 31 Mar 2026 - 18:20

score 71 · Answer 7 · 2020-03-02 23:22:35

71

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Proving that $\sum_{a^2 b^3 \leq x} 1 =\zeta(3/2)x^{1/2} + \zeta(2/3)x^{1/3} + O(x^{1/5})$

Published on 02 Mar 2020 - 23:22

score 709 · Answer 8 · 2026-03-25 14:34:36

709

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

Published on 25 Mar 2026 - 14:34

score 191 · Answer 9 · 2020-03-05 17:48:59

191

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Analytic Extension of $(z-1)\zeta(z)$ to $\{ z: \Re(z) > 0 \}$

Published on 05 Mar 2020 - 17:48

score 440 · Answer 10 · 2020-03-07 17:41:37

440

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Integral $\int_{0}^{\frac{\pi}{4}}x\ln(\cos x)dx$

Published on 07 Mar 2020 - 17:41

score 138 · Answer 11 · 2026-03-29 19:09:29

138

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What would this evaluate to?

Published on 29 Mar 2026 - 19:09

score 80 · Answer 12 · 2026-03-25 15:12:14

80

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What does the $\ll$ operator signify? This paper says "order" but why didn't they use the big or little Oh notation? is the same thing?

Published on 25 Mar 2026 - 15:12

score 134 · Answer 13 · 2020-03-16 14:43:37

134

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Other series representations for zeta and eta functions

Published on 16 Mar 2020 - 14:43

score 144 · Answer 14 · 2020-03-17 04:54:51

144

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Infinite product $\prod_p (1+p^{-2}+p^{-3} +\dots+p^{-k})$

Published on 17 Mar 2020 - 4:54

score 755 · Answer 15 · 2026-03-31 17:21:51

755

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Explanation of all the incomplete details on Apery's theorem proof following van der Poorten article.

Published on 31 Mar 2026 - 17:21

List Question

About generalized binomial theorem and Grünwald-Letnikov fractional derivative

Does this sum $(1-\frac{1}{2^2})^{(1-\frac{1}{3^2})^{...^{(1-\frac{1}{p^2})}}}$ also related to Riemann zeta function?

Is Riemann's explicit formula only valid if his hypothesis is true?

intersection of numbers on wolfram

Proving Integral with Riemann Zeta Function

Riemann's Zeta function. Globally convergent sum.

Proving that $\sum_{a^2 b^3 \leq x} 1 =\zeta(3/2)x^{1/2} + \zeta(2/3)x^{1/3} + O(x^{1/5})$

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

Analytic Extension of $(z-1)\zeta(z)$ to $\{ z: \Re(z) > 0 \}$

Integral $\int_{0}^{\frac{\pi}{4}}x\ln(\cos x)dx$

What would this evaluate to?

What does the $\ll$ operator signify? This paper says "order" but why didn't they use the big or little Oh notation? is the same thing?

Other series representations for zeta and eta functions

Infinite product $\prod_p (1+p^{-2}+p^{-3} +\dots+p^{-k})$

Explanation of all the incomplete details on Apery's theorem proof following van der Poorten article.

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