Question

Does this sum/product have a closed form?: $f(x)=\sum\limits_{n=0}^\infty \prod\limits_{k=1}^n \frac{1}{k^x}$

score 97 · Answer 1 · 2022-07-05 20:34:00

97

Views

Does this sum/product have a closed form?: $f(x)=\sum\limits_{n=0}^\infty \prod\limits_{k=1}^n \frac{1}{k^x}$

Published on 05 Jul 2022 - 20:34

score 309 · Answer 2 · 2026-03-30 08:03:03

309

Views

Evaluation of $\prod\limits_{n=1}^\infty(ne^{-n}+1)$

Published on 30 Mar 2026 - 8:03

score 64 · Answer 3 · 2022-07-09 17:39:37

64

Views

Compute the product

Published on 09 Jul 2022 - 17:39

score 51 · Answer 4 · 2022-07-11 08:59:47

51

Views

Bounds on $ \sum_{i=1}^m\left\{\frac{1}{p_i}\prod_{j=i+1}^m\left(1-\frac{1}{p_j}\right)\right\}$

Published on 11 Jul 2022 - 8:59

score 195 · Answer 5 · 2026-03-25 07:48:46

195

Views

What is precisely the connection between the leech lattice and the Dedekind eta functions?

Published on 25 Mar 2026 - 7:48

score 469 · Answer 6 · 2022-07-15 19:48:13

469

Views

Infinite-dimensional manifolds: Fréchet, Banach and Hilbert manifolds

Published on 15 Jul 2022 - 19:48

score 155 · Answer 7 · 2026-03-28 19:29:02

155

Views

Wrong wolfram alpha result for $\sin(\frac{3 \pi}{2})$

Published on 28 Mar 2026 - 19:29

score 34 · Answer 8 · 2026-03-25 16:08:18

34

Views

Question about the Cayley proof of the Jacobi triple product relation

Published on 25 Mar 2026 - 16:08

score 72 · Answer 9 · 2022-08-02 07:47:19

72

Views

Evaluating $\lim_{n\to\infty} \left(\frac{e}{4n + 2}\right)^n \frac{(2n)!}{n!}$

Published on 02 Aug 2022 - 7:47

score 131 · Answer 10 · 2026-03-26 14:42:23

131

Views

Integrals of $q$-series

Published on 26 Mar 2026 - 14:42

score 52 · Answer 11 · 2026-04-02 04:35:07

52

Views

On $\prod_{j=1}^{\infty} (1-z^{j^2})$.

Published on 02 Apr 2026 - 4:35

score 54 · Answer 12 · 2022-08-21 09:13:57

54

Views

Infinite product - pushing the limit (w.r.t. n) inside when the upper index depends on n as well

Published on 21 Aug 2022 - 9:13

score 298 · Answer 13 · 2026-03-25 14:25:55

298

Views

What can we say about $f(x)=\prod_{n=2}^\infty(1-n^{-1/x})$?

Published on 25 Mar 2026 - 14:25

score 167 · Answer 14 · 2022-08-29 17:26:57

167

Views

On an infinite product $\prod_{k=1}^\infty\left(1-\frac{x^3}{k^3\pi^3}\right)$

Published on 29 Aug 2022 - 17:26

score 134 · Answer 15 · 2022-08-29 22:37:11

134

Views

If $a_n = a_{n-1}-2a_{n-2}$ where $a_0 = 2$ and $a_1 = 1$, what is the recurrence relation for $a_{2^n-1}$?

Published on 29 Aug 2022 - 22:37

List Question

Does this sum/product have a closed form?: $f(x)=\sum\limits_{n=0}^\infty \prod\limits_{k=1}^n \frac{1}{k^x}$

Evaluation of $\prod\limits_{n=1}^\infty(ne^{-n}+1)$

Compute the product

Bounds on $ \sum_{i=1}^m\left\{\frac{1}{p_i}\prod_{j=i+1}^m\left(1-\frac{1}{p_j}\right)\right\}$

What is precisely the connection between the leech lattice and the Dedekind eta functions?

Infinite-dimensional manifolds: Fréchet, Banach and Hilbert manifolds

Wrong wolfram alpha result for $\sin(\frac{3 \pi}{2})$

Question about the Cayley proof of the Jacobi triple product relation

Evaluating $\lim_{n\to\infty} \left(\frac{e}{4n + 2}\right)^n \frac{(2n)!}{n!}$

Integrals of $q$-series

On $\prod_{j=1}^{\infty} (1-z^{j^2})$.

Infinite product - pushing the limit (w.r.t. n) inside when the upper index depends on n as well

What can we say about $f(x)=\prod_{n=2}^\infty(1-n^{-1/x})$?

On an infinite product $\prod_{k=1}^\infty\left(1-\frac{x^3}{k^3\pi^3}\right)$

If $a_n = a_{n-1}-2a_{n-2}$ where $a_0 = 2$ and $a_1 = 1$, what is the recurrence relation for $a_{2^n-1}$?

Trending Questions

Popular # Hahtags

Popular Questions