Question

If $f$ is a non-constant elliptic function, then $z\mapsto f'(z)/f(z)$ is a non-constant elliptic function

score 100 · Answer 1 · 2023-02-08 17:38:59

100

Views

If $f$ is a non-constant elliptic function, then $z\mapsto f'(z)/f(z)$ is a non-constant elliptic function

Published on 08 Feb 2023 - 17:38

score 90 · Answer 2 · 2023-02-14 06:08:06

90

Views

Deducing the relation $f(x)-f(x+1)+f(x+2)-\cdots = 0.5f(x)+Af'(x)+Bf''(x)+\cdots$ from Abel's "Studies on Elliptic Functions"

Published on 14 Feb 2023 - 6:08

score 144 · Answer 3 · 2023-02-14 13:36:15

144

Views

Express $\sum_{n\in\mathbb{Z}} \left ( q^{(8n+1)^2}-q^{(8n+3)^2}\right )$

Published on 14 Feb 2023 - 13:36

score 154 · Answer 4 · 2026-03-26 04:51:39

154

Views

Are these sources wrong about Jacobi elliptic functions, and can we fix the flaw?

Published on 26 Mar 2026 - 4:51

score 133 · Answer 5 · 2023-02-22 15:41:28

133

Views

Understanding a proof of $\eta_1\omega_2-\eta_2\omega_1=2\pi i$

Published on 22 Feb 2023 - 15:41

score 79 · Answer 6 · 2023-03-08 09:58:18

79

Views

Functional equation and elliptic functions

Published on 08 Mar 2023 - 9:58

score 102 · Answer 7 · 2023-03-08 15:31:33

102

Views

Division of Bernoulli's lemniscate by ruler and compass

Published on 08 Mar 2023 - 15:31

score 105 · Answer 8 · 2023-03-12 05:58:06

105

Views

How to manipulate differential equation into Weierstrass P form?

Published on 12 Mar 2023 - 5:58

score 60 · Answer 9 · 2023-03-14 13:05:55

60

Views

Show "hexagonal elliptic curves" have algebraic coefficients

Published on 14 Mar 2023 - 13:05

score 48 · Answer 10 · 2023-03-16 20:51:49

48

Views

Using the first Liouville theorem

Published on 16 Mar 2023 - 20:51

score 434 · Answer 11 · 2023-03-19 03:07:28

434

Views

Integrals of $\int_{0}^{1} \left ( \frac{K^\prime}{K} \right )^{s-1} f(k)\text{d}k$

Published on 19 Mar 2023 - 3:07

score 181 · Answer 12 · 2026-03-25 15:43:41

181

Views

If two elliptic functions share the same poles and zeros (including multiciplity) then they are proportional

Published on 25 Mar 2026 - 15:43

score 53 · Answer 13 · 2026-03-25 15:43:44

53

Views

Given two points $P$ and $Q$ on a fundamental parallelogram, construct an elliptic function with simple poles at $P, Q$ by contour integral of $\wp$

Published on 25 Mar 2026 - 15:43

score 88 · Answer 14 · 2023-04-21 12:43:18

88

Views

Jacobi elliptic function formula

Published on 21 Apr 2023 - 12:43

score 394 · Answer 15 · 2023-04-21 22:29:44

394

Views

Where does the Weierstrass expansion of $\operatorname{sn}$ come from?

Published on 21 Apr 2023 - 22:29

List Question

If $f$ is a non-constant elliptic function, then $z\mapsto f'(z)/f(z)$ is a non-constant elliptic function

Deducing the relation $f(x)-f(x+1)+f(x+2)-\cdots = 0.5f(x)+Af'(x)+Bf''(x)+\cdots$ from Abel's "Studies on Elliptic Functions"

Express $\sum_{n\in\mathbb{Z}} \left ( q^{(8n+1)^2}-q^{(8n+3)^2}\right )$

Are these sources wrong about Jacobi elliptic functions, and can we fix the flaw?

Understanding a proof of $\eta_1\omega_2-\eta_2\omega_1=2\pi i$

Functional equation and elliptic functions

Division of Bernoulli's lemniscate by ruler and compass

How to manipulate differential equation into Weierstrass P form?

Show "hexagonal elliptic curves" have algebraic coefficients

Using the first Liouville theorem

Integrals of $\int_{0}^{1} \left ( \frac{K^\prime}{K} \right )^{s-1} f(k)\text{d}k$

If two elliptic functions share the same poles and zeros (including multiciplity) then they are proportional

Given two points $P$ and $Q$ on a fundamental parallelogram, construct an elliptic function with simple poles at $P, Q$ by contour integral of $\wp$

Jacobi elliptic function formula

Where does the Weierstrass expansion of $\operatorname{sn}$ come from?

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