List questions from theta-functions

Published on 01 Oct 2011 - 13:26

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On the growth of the Jacobi theta function

Published on 22 Oct 2011 - 6:44

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How to simplify $\newcommand{\bigk}{\mathop{\vcenter{\hbox{K}}}}\prod_{p\in\mathbb{P}}\left(1+\bigk_{k=1}^{\infty }\frac{f_k(s)}{g_k(s)}\right)^{-1}$

Published on 29 Nov 2011 - 15:26

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A Dedekind eta function sum of form $y_0^k+y_1^k+y_2^k+y_3^k+... = 0$

Published on 05 Dec 2011 - 13:38

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Combinatorial interpretation of this identity of Gauss?

Published on 25 Mar 2026 - 14:34

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Convexity of $\theta(q)$

Published on 24 Feb 2012 - 11:17

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Calculating a summation of a $\theta$ function

Published on 28 Jul 2012 - 10:17

112

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Rapidly convergent series for $\sum\limits_{J=0}^{\infty} (2 J + 1) e^{-\beta J(J+1)}$ (rigid rotor)

Published on 28 Sep 2012 - 5:19

167

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Generating function for $r^\binom{n}{2}$

Published on 17 Mar 2013 - 2:53

348

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Jacobi Theta function inequality

Published on 27 Mar 2013 - 17:15

139

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Real roots of the equation $2x^2+(4\sin\theta)x+\cos(2\theta)=0$

Published on 26 Mar 2026 - 4:14

244

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Abel's summation formula and approximating an integral of Jacobi theta functions

Published on 10 Aug 2020 - 22:52

531

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Integral with theta function

Published on 01 Sep 2020 - 14:13

239

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$\int_0^{\infty}e^{-t^2/2}\,\frac{e^{2\pi}-\cos\left(\sqrt{2\pi} t\right)}{e^{4\pi}-2e^{2\pi}\cos\left(\sqrt{2\pi} t\right)+1} dt $

Published on 25 Sep 2020 - 18:11

139

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Logarithmic differentiation of a complicated product

Published on 01 Oct 2020 - 3:43

List Question

What is meant by a set of generic points on a compact Riemann surface

On the growth of the Jacobi theta function

How to simplify $\newcommand{\bigk}{\mathop{\vcenter{\hbox{K}}}}\prod_{p\in\mathbb{P}}\left(1+\bigk_{k=1}^{\infty }\frac{f_k(s)}{g_k(s)}\right)^{-1}$

A Dedekind eta function sum of form $y_0^k+y_1^k+y_2^k+y_3^k+... = 0$

Combinatorial interpretation of this identity of Gauss?

Convexity of $\theta(q)$

Calculating a summation of a $\theta$ function

Rapidly convergent series for $\sum\limits_{J=0}^{\infty} (2 J + 1) e^{-\beta J(J+1)}$ (rigid rotor)

Generating function for $r^\binom{n}{2}$

Jacobi Theta function inequality

Real roots of the equation $2x^2+(4\sin\theta)x+\cos(2\theta)=0$

Abel's summation formula and approximating an integral of Jacobi theta functions

Integral with theta function

$\int_0^{\infty}e^{-t^2/2}\,\frac{e^{2\pi}-\cos\left(\sqrt{2\pi} t\right)}{e^{4\pi}-2e^{2\pi}\cos\left(\sqrt{2\pi} t\right)+1} dt $

Logarithmic differentiation of a complicated product

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