List questions from elliptic-functions

Published on 17 Dec 2018 - 16:21

379

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About Sturm's bound

Published on 18 Dec 2018 - 6:50

103

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Zeroes of some degree of two elliptic functions

Published on 24 Dec 2018 - 7:33

631

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An intriguing pattern in Ramanujan's theory of elliptic functions that stops?

Published on 29 Jan 2019 - 18:08

88

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Is this an elliptic curve $x^2+y^2=k^2(1+x^2y^2)$

Published on 03 Feb 2019 - 14:43

56

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Nonlinear ODE - possible transformations or analytical techniques?

Published on 03 Feb 2019 - 19:36

683

Views

What is $\int_0^1 \left(\tfrac{\pi}2\,_2F_1\big(\tfrac13,\tfrac23,1,\,k^2\big)\right)^3 dk$?

Published on 07 Feb 2019 - 13:32

564

Views

Is it true that $\int_0^1 \big(K(k^{1/2})\big)^2\,dk = \frac{7}2\zeta(3)$?

Published on 25 Mar 2026 - 7:44

123

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$\sum_{\omega\in \mathbb{Z}(i)^*} |\omega|^{-2}$ does not converge.

Published on 17 Feb 2019 - 10:47

642

Views

Hyperelliptic function addition formula

Published on 25 Mar 2026 - 7:38

156

Views

Weierstraß $\sigma$ function identity

Published on 08 Mar 2019 - 20:51

35

Views

Jacobian elliptic function: unfamiliar definition

Published on 19 Mar 2019 - 10:52

74

Views

Jacobi sn: Does $w=\operatorname{sn}(z,m)$ send the line $\operatorname{Im}(z)=K'/2$ to the circle $\left \|w^4 \right \|=1/m?$

Published on 19 Mar 2019 - 21:44

47

Views

Solving a 2nd order non-linear ODE

Published on 04 Apr 2019 - 13:31

432

Views

Addition formula for elliptic integral of second kind

Published on 25 Mar 2026 - 3:01

List Question

Finding a particular solution to a linear PDE

About Sturm's bound

Zeroes of some degree of two elliptic functions

An intriguing pattern in Ramanujan's theory of elliptic functions that stops?

Is this an elliptic curve $x^2+y^2=k^2(1+x^2y^2)$

Nonlinear ODE - possible transformations or analytical techniques?

What is $\int_0^1 \left(\tfrac{\pi}2\,_2F_1\big(\tfrac13,\tfrac23,1,\,k^2\big)\right)^3 dk$?

Is it true that $\int_0^1 \big(K(k^{1/2})\big)^2\,dk = \frac{7}2\zeta(3)$?

$\sum_{\omega\in \mathbb{Z}(i)^*} |\omega|^{-2}$ does not converge.

Hyperelliptic function addition formula

Weierstraß $\sigma$ function identity

Jacobian elliptic function: unfamiliar definition

Jacobi sn: Does $w=\operatorname{sn}(z,m)$ send the line $\operatorname{Im}(z)=K'/2$ to the circle $\left \|w^4 \right \|=1/m?$

Solving a 2nd order non-linear ODE

Addition formula for elliptic integral of second kind

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