Question

What is this quotient of partial derivatives of the first Jacobi's Theta function

score 81 · Answer 1 · 2026-04-14 21:16:44

81

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What is this quotient of partial derivatives of the first Jacobi's Theta function

Published on 14 Apr 2026 - 21:16

score 81 · Answer 2 · 2026-03-25 07:43:57

81

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Ramanujan theta function on matrices: When does $\sum A^{n(n-1)/2} B^{n(n+1)/2}$ converge?

Published on 25 Mar 2026 - 7:43

score 187 · Answer 3 · 2026-04-28 10:05:10

187

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How to solve a quintic polynomial using elliptic functions with Mathematica?

Published on 28 Apr 2026 - 10:05

score 262 · Answer 4 · 2026-03-25 06:02:24

262

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Two Equivalent Equations for the Zeros of the Jacobi Theta Function?

Published on 25 Mar 2026 - 6:02

score 108 · Answer 5 · 2026-03-25 06:00:40

108

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Factorization of elliptic functions with theta functions

Published on 25 Mar 2026 - 6:00

score 46 · Answer 6 · 2026-03-25 06:04:33

46

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Integral involving $\theta_3(z,q)$ with respect to $z$

Published on 25 Mar 2026 - 6:04

score 29 · Answer 7 · 2026-03-25 06:06:30

29

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For any constant k>1 the function f(n) = 1 + k + k^2 + k^3 + .. + k^n is in Θ(k^n)

Published on 25 Mar 2026 - 6:06

score 127 · Answer 8 · 2026-03-25 06:01:23

127

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Help showing that a function has order of n^2

Published on 25 Mar 2026 - 6:01

score 412 · Answer 9 · 2026-03-25 05:59:10

412

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What is the algorithm complexity in Big-Theta notation?

Published on 25 Mar 2026 - 5:59

score 496 · Answer 10 · 2026-03-25 16:02:20

496

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Why the derivative of the logarithm of a theta function is not an elliptic function?

Published on 25 Mar 2026 - 16:02

score 124 · Answer 11 · 2026-03-25 07:36:52

124

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Does anybody know this relation between Jacobi theta functions?

Published on 25 Mar 2026 - 7:36

score 416 · Answer 12 · 2026-03-25 07:43:26

416

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Jacobi Theta Function on the Unit Circle - Is there a Limit in the Distribution Sense?

Published on 25 Mar 2026 - 7:43

score 1.2k · Answer 13 · 2026-03-25 06:04:09

1.2k

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How does one express Jacobi theta functions in terms of Elliptic Integrals?

Published on 25 Mar 2026 - 6:04

score 375 · Answer 14 · 2026-04-03 09:03:39

375

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Show that $\prod\limits_{n=1}^\infty \frac{(1-q^{6n})(1-q^n)^2}{(1-q^{3n})(1-q^{2n})}=\sum\limits_{n=-\infty}^\infty q^{2n^2+n}-3q^{9(2n^2+n)+1}$.

Published on 03 Apr 2026 - 9:03

score 40 · Answer 15 · 2026-03-25 06:06:17

40

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Show that $\theta(z)=\sum_{m=-\infty}^{\infty}e^{-\pi m^2z}$ converges and is analytic in $z\in \mathbb C,Re(z)>0$

Published on 25 Mar 2026 - 6:06

List Question

What is this quotient of partial derivatives of the first Jacobi's Theta function

Ramanujan theta function on matrices: When does $\sum A^{n(n-1)/2} B^{n(n+1)/2}$ converge?

How to solve a quintic polynomial using elliptic functions with Mathematica?

Two Equivalent Equations for the Zeros of the Jacobi Theta Function?

Factorization of elliptic functions with theta functions

Integral involving $\theta_3(z,q)$ with respect to $z$

For any constant k>1 the function f(n) = 1 + k + k^2 + k^3 + .. + k^n is in Θ(k^n)

Help showing that a function has order of n^2

What is the algorithm complexity in Big-Theta notation?

Why the derivative of the logarithm of a theta function is not an elliptic function?

Does anybody know this relation between Jacobi theta functions?

Jacobi Theta Function on the Unit Circle - Is there a Limit in the Distribution Sense?

How does one express Jacobi theta functions in terms of Elliptic Integrals?

Show that $\prod\limits_{n=1}^\infty \frac{(1-q^{6n})(1-q^n)^2}{(1-q^{3n})(1-q^{2n})}=\sum\limits_{n=-\infty}^\infty q^{2n^2+n}-3q^{9(2n^2+n)+1}$.

Show that $\theta(z)=\sum_{m=-\infty}^{\infty}e^{-\pi m^2z}$ converges and is analytic in $z\in \mathbb C,Re(z)>0$

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