Question

Special property of the normal distribution density concerning infinite sums?

score 63 · Answer 1 · 2023-03-12 16:11:37

63

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Special property of the normal distribution density concerning infinite sums?

Published on 12 Mar 2023 - 16:11

score 77 · Answer 2 · 2023-03-29 13:53:49

77

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Sum of powers of the sum of all the square numbers in a factorial

Published on 29 Mar 2023 - 13:53

score 107 · Answer 3 · 2023-03-29 21:22:16

107

Views

Closed form for $\sum_{n=1}^\infty x^{-\frac{2\pi}{n}} e^{-2\pi n}$

Published on 29 Mar 2023 - 21:22

score 47 · Answer 4 · 2023-05-08 18:19:52

47

Views

About $T(n,k)=\frac{1}{(n+1)!}+\frac{1}{(n+2)!}+\frac{1}{(n+3)!}+...+\frac{1}{(n+k)!}$ where $n,k\in \mathbb{N}$

Published on 08 May 2023 - 18:19

score 26 · Answer 5 · 2023-07-07 13:02:04

26

Views

Exponential sums related to abelian subgroups

Published on 07 Jul 2023 - 13:02

score 33 · Answer 6 · 2023-07-20 00:14:45

33

Views

Why are there multiple spirals in the Weyl-type sum?

Published on 20 Jul 2023 - 0:14

score 121 · Answer 7 · 2023-08-23 02:18:18

121

Views

A nested double sum(to do with e?)

Published on 23 Aug 2023 - 2:18

score 35 · Answer 8 · 2023-09-03 18:27:53

35

Views

Zero set of double trigonometric polynomials.

Published on 03 Sep 2023 - 18:27

score 74 · Answer 9 · 2023-10-09 01:32:30

74

Views

How to find the sum of a finite number of increasing fractional powers

Published on 09 Oct 2023 - 1:32

score 49 · Answer 10 · 2023-10-18 09:45:26

49

Views

Average of Sums of Exponentials

Published on 18 Oct 2023 - 9:45

score 20 · Answer 11 · 2023-11-04 11:56:42

20

Views

Quotient curve of Fermat curve over a finite field (Ireland -Rosen exercise)

Published on 04 Nov 2023 - 11:56

score 35 · Answer 12 · 2023-11-17 21:25:29

35

Views

$ 0 = 1 + \sum_{n=2}^{\infty} \frac{n^{-s}}{\ln(n)} \implies Re(s) \leq \frac{1}{2}$?

Published on 17 Nov 2023 - 21:25

score 21 · Answer 13 · 2023-12-07 05:28:53

21

Views

Help solving Exponential Sum problem using KKT conditions

Published on 07 Dec 2023 - 5:28

score 84 · Answer 14 · 2023-12-23 19:22:45

84

Views

Show that $\mid \sum _{i=1} ^n e^{\frac{2\pi.i}{p}a_i} \mid \ge n. \cos(\frac{2\pi}{p})$

Published on 23 Dec 2023 - 19:22

score 80 · Answer 15 · 2023-12-25 07:06:35

80

Views

If $\inf\{b\in\mathbb{R}\mid\sum_{n=1}^{\infty}e^{-ax_n-by_n}<+\infty\}=1-a$ for all $a\in [0,1]$, does this equality hold for all $a\in\mathbb{R}$?

Published on 25 Dec 2023 - 7:06

List Question

Special property of the normal distribution density concerning infinite sums?

Sum of powers of the sum of all the square numbers in a factorial

Closed form for $\sum_{n=1}^\infty x^{-\frac{2\pi}{n}} e^{-2\pi n}$

About $T(n,k)=\frac{1}{(n+1)!}+\frac{1}{(n+2)!}+\frac{1}{(n+3)!}+...+\frac{1}{(n+k)!}$ where $n,k\in \mathbb{N}$

Exponential sums related to abelian subgroups

Why are there multiple spirals in the Weyl-type sum?

A nested double sum(to do with e?)

Zero set of double trigonometric polynomials.

How to find the sum of a finite number of increasing fractional powers

Average of Sums of Exponentials

Quotient curve of Fermat curve over a finite field (Ireland -Rosen exercise)

$ 0 = 1 + \sum_{n=2}^{\infty} \frac{n^{-s}}{\ln(n)} \implies Re(s) \leq \frac{1}{2}$?

Help solving Exponential Sum problem using KKT conditions

Show that $\mid \sum _{i=1} ^n e^{\frac{2\pi.i}{p}a_i} \mid \ge n. \cos(\frac{2\pi}{p})$

If $\inf\{b\in\mathbb{R}\mid\sum_{n=1}^{\infty}e^{-ax_n-by_n}<+\infty\}=1-a$ for all $a\in [0,1]$, does this equality hold for all $a\in\mathbb{R}$?

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