List questions from theta-functions

Published on 23 Dec 2019 - 19:39

91

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Formula for sequence $\left(r_{k}\right)_{k=0}^{\infty}=(1, 1, 3, 5, 9, 15, 25, 39, 61, 93,\cdots)$

Published on 23 Dec 2019 - 20:14

208

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Theta Functions and Partitions

Published on 31 Dec 2019 - 19:26

59

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Waring problem generalizations and theta-function

Published on 04 Jan 2020 - 9:07

367

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Extension of Jacobi triple Product Identity for $\sum\limits_{n = - \infty }^ \infty z^n q^{n^2} h^{n^3}$

Published on 30 Jan 2020 - 11:22

327

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Umemura's Theorem on Solving any Algebraic Polynomial Equation

Published on 13 Feb 2020 - 19:11

145

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Prove $\sum_{n\ge1}\frac{1}{q^n+q^{-n}}=\tfrac14(\vartheta_3^2(q)-1)$

Published on 19 Feb 2020 - 3:56

155

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Estimate the series $\sum_{k=0}^\infty(-1)^k(2k+1)^2 z^{(2k+1)^2}$

Published on 19 Feb 2020 - 19:26

43

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Can this number be expressed in terms of Theta functions?

Published on 05 Mar 2020 - 2:25

335

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Weierstrass elliptic function identity

Published on 24 Mar 2020 - 10:40

128

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Is $\sum_{n \in \mathbb{Z}} e^{-(n-\mu)^2/2\sigma^2} \le \sum_{n \in \mathbb{Z}} e^{-n^2/2\sigma^2}$ for all $\mu$ and all $\sigma$?

Published on 25 Mar 2020 - 18:16

357

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Finding roots of $\sum\limits_{n = - \infty }^ \infty n z^n q^{n^2} =0 $ , $z_k=u_k(q)$

Published on 30 Mar 2020 - 12:17

134

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Transformation formula for Theta-series

Published on 22 Mar 2026 - 22:32

97

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The Four Square Theorem and Integral Apollonian Circle Packings, is there any connection?

Published on 11 Apr 2020 - 12:34

1k

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Zeros of the Jacobi Theta function

Published on 16 Apr 2020 - 12:17

List Question

modular forms and their fourier coefficients question

Formula for sequence $\left(r_{k}\right)_{k=0}^{\infty}=(1, 1, 3, 5, 9, 15, 25, 39, 61, 93,\cdots)$

Theta Functions and Partitions

Waring problem generalizations and theta-function

Extension of Jacobi triple Product Identity for $\sum\limits_{n = - \infty }^ \infty z^n q^{n^2} h^{n^3}$

Umemura's Theorem on Solving any Algebraic Polynomial Equation

Prove $\sum_{n\ge1}\frac{1}{q^n+q^{-n}}=\tfrac14(\vartheta_3^2(q)-1)$

Estimate the series $\sum_{k=0}^\infty(-1)^k(2k+1)^2 z^{(2k+1)^2}$

Can this number be expressed in terms of Theta functions?

Weierstrass elliptic function identity

Is $\sum_{n \in \mathbb{Z}} e^{-(n-\mu)^2/2\sigma^2} \le \sum_{n \in \mathbb{Z}} e^{-n^2/2\sigma^2}$ for all $\mu$ and all $\sigma$?

Finding roots of $\sum\limits_{n = - \infty }^ \infty n z^n q^{n^2} =0 $ , $z_k=u_k(q)$

Transformation formula for Theta-series

The Four Square Theorem and Integral Apollonian Circle Packings, is there any connection?

Zeros of the Jacobi Theta function

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