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Analytic Continuation of Sum $ \sum_{n=0}^{\infty} e^{-b \sqrt n}$

score 72 · Answer 1 · 2026-03-25 22:03:13

72

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Analytic Continuation of Sum $ \sum_{n=0}^{\infty} e^{-b \sqrt n}$

Published on 25 Mar 2026 - 22:03

score 554 · Answer 2 · 2026-04-15 09:52:32

554

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How to find$\sum_{i,j,k\in \mathbb{Z}}\binom{n}{i+j}\binom{n}{j+k}\binom{n}{i+k}$ for $n \in \mathbb{N}$

Published on 15 Apr 2026 - 9:52

score 149 · Answer 3 · 2026-05-10 18:59:02

149

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Upper-bounding a sum over non-identity permutations

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score 144 · Answer 4 · 2026-04-10 15:35:31

144

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Inequality involving sum of logarithms and hidden zeta-function

Published on 10 Apr 2026 - 15:35

score 99 · Answer 5 · 2026-04-13 02:06:44

99

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double summation of conditional variable depending on sum of integer

Published on 13 Apr 2026 - 2:06

score 33 · Answer 6 · 2026-04-17 13:48:52

33

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Evaluating scalar functions of vectors in multidimensional simplices.

Published on 17 Apr 2026 - 13:48

score 129 · Answer 7 · 2026-04-15 13:38:49

129

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Closed formula for ${r \choose 1}+{r \choose 2}\cdots{r \choose w}$ where $w < r$

Published on 15 Apr 2026 - 13:38

score 357 · Answer 8 · 2026-04-14 11:11:40

357

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Finite summation including binomial coefficients and double factorials

Published on 14 Apr 2026 - 11:11

score 127 · Answer 9 · 2026-04-14 16:11:05

127

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Closed form for $\sum_{n=0}^{\infty}\frac{x^n}{(n-a)^2+b^2}$

Published on 14 Apr 2026 - 16:11

score 326 · Answer 10 · 2026-04-14 08:08:25

326

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Closed form for $\sum_{n=1}^{\infty}\frac{(-1)^n}{\sqrt{n^2+a^2}}$

Published on 14 Apr 2026 - 8:08

score 1.8k · Answer 11 · 2026-04-16 23:12:10

1.8k

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Closed form for $\sum_{n=1}^{\infty}\frac{1}{\sinh^2\!\pi n}$ conjectured

Published on 16 Apr 2026 - 23:12

score 63 · Answer 12 · 2026-03-25 22:02:38

63

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Analytic continuation of $\sum_{n=0}^{\infty} e^{-x E_n}$

Published on 25 Mar 2026 - 22:02

score 1k · Answer 13 · 2026-05-11 03:12:11

1k

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How to prove that a sum of $\cosh(kx)$ is equal to a formula?

Published on 11 May 2026 - 3:12

score 413 · Answer 14 · 2026-04-13 23:02:23

413

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Order of summation for shifted exponential function

Published on 13 Apr 2026 - 23:02

score 92 · Answer 15 · 2026-04-12 12:44:28

92

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Bizarre binomial sum

Published on 12 Apr 2026 - 12:44

List Question

Analytic Continuation of Sum $ \sum_{n=0}^{\infty} e^{-b \sqrt n}$

How to find$\sum_{i,j,k\in \mathbb{Z}}\binom{n}{i+j}\binom{n}{j+k}\binom{n}{i+k}$ for $n \in \mathbb{N}$

Upper-bounding a sum over non-identity permutations

Inequality involving sum of logarithms and hidden zeta-function

double summation of conditional variable depending on sum of integer

Evaluating scalar functions of vectors in multidimensional simplices.

Closed formula for ${r \choose 1}+{r \choose 2}\cdots{r \choose w}$ where $w < r$

Finite summation including binomial coefficients and double factorials

Closed form for $\sum_{n=0}^{\infty}\frac{x^n}{(n-a)^2+b^2}$

Closed form for $\sum_{n=1}^{\infty}\frac{(-1)^n}{\sqrt{n^2+a^2}}$

Closed form for $\sum_{n=1}^{\infty}\frac{1}{\sinh^2\!\pi n}$ conjectured

Analytic continuation of $\sum_{n=0}^{\infty} e^{-x E_n}$

How to prove that a sum of $\cosh(kx)$ is equal to a formula?

Order of summation for shifted exponential function

Bizarre binomial sum

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