Question

Definite integral involving Jacobi theta function

score 76 · Answer 1 · 2021-04-04 06:40:44

76

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Definite integral involving Jacobi theta function

Published on 04 Apr 2021 - 6:40

score 46 · Answer 2 · 2026-03-25 19:01:42

46

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Jacobi Quintuple Product Identity

Published on 25 Mar 2026 - 19:01

score 152 · Answer 3 · 2021-05-10 19:51:05

152

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Absolute value of the theta function on the unit nome

Published on 10 May 2021 - 19:51

score 210 · Answer 4 · 2026-03-25 16:03:35

210

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Is $\prod_{n=0}^\infty \left(1-\frac{1}{\cosh ^2((n+1/2)\pi)}\right)=\frac{1}{\sqrt[4]{2}}$ true?

Published on 25 Mar 2026 - 16:03

score 102 · Answer 5 · 2021-06-06 13:06:15

102

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Uniform convergence of theta functions

Published on 06 Jun 2021 - 13:06

score 217 · Answer 6 · 2021-06-14 11:25:13

217

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Explanation of several remarks of Gauss on representations of a given number as sum of four squares.

Published on 14 Jun 2021 - 11:25

score 121 · Answer 7 · 2021-06-29 03:26:26

121

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How to construct the roots of a polynomial via "theta constants"?

Published on 29 Jun 2021 - 3:26

score 35 · Answer 8 · 2021-07-07 13:40:27

35

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Elliptic uniformization of $\sqrt{1+k+k^2}$

Published on 07 Jul 2021 - 13:40

score 288 · Answer 9 · 2021-07-07 21:56:58

288

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Closed form of $\sum_{n=1}^\infty \frac{1}{\sinh n\pi}$ in terms of $\Gamma (a)$, $a\in\mathbb{Q}$

Published on 07 Jul 2021 - 21:56

score 57 · Answer 10 · 2021-07-13 15:12:34

57

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Weierstrass factorization of $\theta_1(z|\tau)$ in $z$

Published on 13 Jul 2021 - 15:12

score 130 · Answer 11 · 2021-07-15 14:23:57

130

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What is the asymptotics of: $\Re\left(\frac{\zeta \left(1+\frac{1}{c}\right) \zeta (s+i t)}{\zeta \left(s+i t+\frac{1}{c}+1-1\right)}\right)$?

Published on 15 Jul 2021 - 14:23

score 60 · Answer 12 · 2026-03-25 17:40:12

60

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closed form in terms of a polygamma function? $ f(2,2)=\sum \sum \exp\big(- n^2k^2 \big)? $

Published on 25 Mar 2026 - 17:40

score 63 · Answer 13 · 2021-08-28 20:57:42

63

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How to choose witnesses for asymptotic growth?

Published on 28 Aug 2021 - 20:57

score 47 · Answer 14 · 2021-08-30 02:43:17

47

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Proof of Jacobi fraction expansion in Triple Product Proof

Published on 30 Aug 2021 - 2:43

score 92 · Answer 15 · 2021-09-10 00:10:57

92

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Closed form for the indefinite integral of the Jacobi Theta function

Published on 10 Sep 2021 - 0:10

List Question

Definite integral involving Jacobi theta function

Jacobi Quintuple Product Identity

Absolute value of the theta function on the unit nome

Is $\prod_{n=0}^\infty \left(1-\frac{1}{\cosh ^2((n+1/2)\pi)}\right)=\frac{1}{\sqrt[4]{2}}$ true?

Uniform convergence of theta functions

Explanation of several remarks of Gauss on representations of a given number as sum of four squares.

How to construct the roots of a polynomial via "theta constants"?

Elliptic uniformization of $\sqrt{1+k+k^2}$

Closed form of $\sum_{n=1}^\infty \frac{1}{\sinh n\pi}$ in terms of $\Gamma (a)$, $a\in\mathbb{Q}$

Weierstrass factorization of $\theta_1(z|\tau)$ in $z$

What is the asymptotics of: $\Re\left(\frac{\zeta \left(1+\frac{1}{c}\right) \zeta (s+i t)}{\zeta \left(s+i t+\frac{1}{c}+1-1\right)}\right)$?

closed form in terms of a polygamma function? $ f(2,2)=\sum \sum \exp\big(- n^2k^2 \big)? $

How to choose witnesses for asymptotic growth?

Proof of Jacobi fraction expansion in Triple Product Proof

Closed form for the indefinite integral of the Jacobi Theta function

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