Question

About holomorphic functions on the upper half plane with respect to SO(2).

score 135 · Answer 1 · 2026-03-27 12:28:44

135

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About holomorphic functions on the upper half plane with respect to SO(2).

Published on 27 Mar 2026 - 12:28

score 213 · Answer 2 · 2022-02-20 14:59:00

213

Views

Proving $48\sum\limits_{n\ge1}{e^{2n}(1+e^{4n})\over(1-e^{4n})^2}=24\pi^2\sum\limits_{n\ge1}{e^{\pi^2n}(1+e^{2\pi^2n})\over(1-e^{2\pi^2n})^2}+\pi^2-2$

Published on 20 Feb 2022 - 14:59

score 141 · Answer 3 · 2022-02-22 10:27:49

141

Views

Fourier coefficients of a modular form of higher level at a cusp other than $i\infty$

Published on 22 Feb 2022 - 10:27

score 75 · Answer 4 · 2022-02-23 20:22:08

75

Views

A base change theorem

Published on 23 Feb 2022 - 20:22

score 85 · Answer 5 · 2022-02-27 15:03:06

85

Views

Proving $\Delta E_4 $ is a simultaneous eigenfunction of weight 16 for $ SL(2, \mathbb Z)$

Published on 27 Feb 2022 - 15:03

score 88 · Answer 6 · 2026-03-26 01:34:38

88

Views

What is the importance of RH for $L$-functions of modular forms?

Published on 26 Mar 2026 - 1:34

score 65 · Answer 7 · 2022-03-11 13:42:56

65

Views

Close form of a series

Published on 11 Mar 2022 - 13:42

score 137 · Answer 8 · 2026-03-29 21:21:04

137

Views

Relation between Petersson inner product and cup product

Published on 29 Mar 2026 - 21:21

score 132 · Answer 9 · 2022-03-13 09:14:46

132

Views

Is a totally positive unit necessarily a square?

Published on 13 Mar 2022 - 9:14

score 129 · Answer 10 · 2022-03-14 15:04:02

129

Views

Alternative definition of Normalized Eisenstein Series

Published on 14 Mar 2022 - 15:04

score 49 · Answer 11 · 2022-03-17 12:35:56

49

Views

Are imaginary quadratic numbers fixed by a $2 \times 2$ integral matrix?

Published on 17 Mar 2022 - 12:35

score 134 · Answer 12 · 2022-03-17 14:31:34

134

Views

Generators of $M_{2k}(\Gamma_0(p))$, $p$ is prime

Published on 17 Mar 2022 - 14:31

score 87 · Answer 13 · 2022-03-20 08:27:33

87

Views

Why are there only two elliptic points on the modular curve $Y(1)$?

Published on 20 Mar 2022 - 8:27

score 72 · Answer 14 · 2026-04-02 01:01:30

72

Views

Are there exist infinitely many odd numbers and even numbers in p(an+b)?

Published on 02 Apr 2026 - 1:01

score 363 · Answer 15 · 2022-03-30 05:37:57

363

Views

Let R be the equivalence relation on Z defined by xRy if x^2 ≡ y^2 (mod 5). Give a partition on Z with respect to R.

Published on 30 Mar 2022 - 5:37

List Question

About holomorphic functions on the upper half plane with respect to SO(2).

Proving $48\sum\limits_{n\ge1}{e^{2n}(1+e^{4n})\over(1-e^{4n})^2}=24\pi^2\sum\limits_{n\ge1}{e^{\pi^2n}(1+e^{2\pi^2n})\over(1-e^{2\pi^2n})^2}+\pi^2-2$

Fourier coefficients of a modular form of higher level at a cusp other than $i\infty$

A base change theorem

Proving $\Delta E_4 $ is a simultaneous eigenfunction of weight 16 for $ SL(2, \mathbb Z)$

What is the importance of RH for $L$-functions of modular forms?

Close form of a series

Relation between Petersson inner product and cup product

Is a totally positive unit necessarily a square?

Alternative definition of Normalized Eisenstein Series

Are imaginary quadratic numbers fixed by a $2 \times 2$ integral matrix?

Generators of $M_{2k}(\Gamma_0(p))$, $p$ is prime

Why are there only two elliptic points on the modular curve $Y(1)$?

Are there exist infinitely many odd numbers and even numbers in p(an+b)?

Let R be the equivalence relation on Z defined by xRy if x^2 ≡ y^2 (mod 5). Give a partition on Z with respect to R.

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