Question

showing that $R_k f =2if'+ky^{-1}f$ is a modular form of weight $k+2$ .

score 52 · Answer 1 · 2026-04-16 00:14:45

52

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showing that $R_k f =2if'+ky^{-1}f$ is a modular form of weight $k+2$ .

Published on 16 Apr 2026 - 0:14

score 41 · Answer 2 · 2026-04-11 22:33:40

41

Views

Why can we assume the modular function $f$ to be holomorphic on $\mathbb H$ here without loss of generality?

Published on 11 Apr 2026 - 22:33

score 77 · Answer 3 · 2026-04-13 07:23:35

77

Views

From Lang's introduction to modular form

Published on 13 Apr 2026 - 7:23

score 61 · Answer 4 · 2026-04-16 08:32:28

61

Views

The $\mathrm{mod}\:2$ reduction of the Eisenstein series of level $\Gamma_0(3)$ and weight $2$ is $1$

Published on 16 Apr 2026 - 8:32

score 270 · Answer 5 · 2026-05-10 15:51:27

270

Views

Evaluate infinite hyperbolic series $\sum_{n=1}^{\infty} \mathrm{sech}((2n-1)\pi)$

Published on 10 May 2026 - 15:51

score 253 · Answer 6 · 2026-04-11 21:28:11

253

Views

In $SL_2(\mathbb{Z}))$ , why is $\Gamma$ a congruence subgroup of index $3$?

Published on 11 Apr 2026 - 21:28

score 1k · Answer 7 · 2026-04-17 00:10:34

1k

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Integral involving hypergeometric function $\int_0^1[{}_2F_1(\frac13,\frac23;1;x^3)]^2dx$

Published on 17 Apr 2026 - 0:10

score 112 · Answer 8 · 2026-04-13 04:57:12

112

Views

Elliptic element points of order 2 and 3 in the Fundamental Region for $PSL(2,\mathbb{Z})$

Published on 13 Apr 2026 - 4:57

score 351 · Answer 9 · 2026-04-09 03:20:42

351

Views

How are Modular Forms used in number theory

Published on 09 Apr 2026 - 3:20

score 193 · Answer 10 · 2026-04-11 07:42:28

193

Views

$\mathrm{GL}_2(\mathbb{Z}/N\mathbb{Z})$-action on level $\Gamma(N)$ modular forms

Published on 11 Apr 2026 - 7:42

score 46 · Answer 11 · 2026-04-09 15:36:50

46

Views

Understanding the proof of (b)

Published on 09 Apr 2026 - 15:36

score 45 · Answer 12 · 2026-04-16 11:54:22

45

Views

An explicit presentation for the graded $\mathbb{Z}[1/N]$-algebra of modular forms

Published on 16 Apr 2026 - 11:54

score 303 · Answer 13 · 2026-04-11 19:46:16

303

Views

How can I find all coset representatives for $\Gamma_0(2)$ in $SL_2(\mathbb{Z})$?

Published on 11 Apr 2026 - 19:46

score 192 · Answer 14 · 2026-04-09 13:51:22

192

Views

Understanding the proof about $\Gamma$ inequivalent cusps

Published on 09 Apr 2026 - 13:51

score 66 · Answer 15 · 2026-05-10 17:15:46

66

Views

Decompositon of the Space of Maass Forms

Published on 10 May 2026 - 17:15

List Question

showing that $R_k f =2if'+ky^{-1}f$ is a modular form of weight $k+2$ .

Why can we assume the modular function $f$ to be holomorphic on $\mathbb H$ here without loss of generality?

From Lang's introduction to modular form

The $\mathrm{mod}\:2$ reduction of the Eisenstein series of level $\Gamma_0(3)$ and weight $2$ is $1$

Evaluate infinite hyperbolic series $\sum_{n=1}^{\infty} \mathrm{sech}((2n-1)\pi)$

In $SL_2(\mathbb{Z}))$ , why is $\Gamma$ a congruence subgroup of index $3$?

Integral involving hypergeometric function $\int_0^1[{}_2F_1(\frac13,\frac23;1;x^3)]^2dx$

Elliptic element points of order 2 and 3 in the Fundamental Region for $PSL(2,\mathbb{Z})$

How are Modular Forms used in number theory

$\mathrm{GL}_2(\mathbb{Z}/N\mathbb{Z})$-action on level $\Gamma(N)$ modular forms

Understanding the proof of (b)

An explicit presentation for the graded $\mathbb{Z}[1/N]$-algebra of modular forms

How can I find all coset representatives for $\Gamma_0(2)$ in $SL_2(\mathbb{Z})$?

Understanding the proof about $\Gamma$ inequivalent cusps

Decompositon of the Space of Maass Forms

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