List questions from modular-forms

Published on 10 Nov 2018 - 18:36

45

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Bijection between subgroups of $\text{Mat}_2(\mathbb{Z})$ and $\mathbb{Z^2}$?

Published on 10 Nov 2018 - 21:32

415

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Convexity Bound of Rankin-Selberg L-Function

Published on 25 Mar 2026 - 6:21

124

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Lower bound for sum of Hecke eigenvalues

Published on 12 Nov 2018 - 13:17

63

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G(k,X) is a modular form of weight k and character X

Published on 20 Mar 2026 - 5:30

32

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Show that $\Delta \ne 0$ and LI of $G_4^3$ and $G_6^2$ are equivalent.

Published on 15 Nov 2018 - 18:43

472

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Location of the zeros of Dedekind Eta Function

Published on 25 Mar 2026 - 3:07

182

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Uniqueness of $L$-series of cusp forms

Published on 25 Mar 2026 - 6:05

104

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Construction of eigenfunction for Hecke operators $T_p$

Published on 19 Nov 2018 - 16:36

27

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$f$ is a normalized eigenform $\Rightarrow$ so is $f^\sigma$, for $\sigma \in \operatorname{Aut}\mathbb{C}$

Published on 20 Nov 2018 - 12:07

81

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Show that $I_r(MN, z) = w_r(M,N) I_r(M,Nz) I_r(N, z)$.

Published on 23 Nov 2018 - 14:38

97

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Show that $(f|M)(z) := (cz+d)^{-r/2}f(Mz)$ has a weight $r/2$.

Published on 24 Nov 2018 - 1:49

304

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Value of the J Invariant at $\frac{1+\sqrt{-163}}{2}$

Published on 25 Mar 2026 - 23:52

138

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Polynomial growth of L-function

Published on 25 Mar 2026 - 4:37

26

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Maps between spaces of modular forms over different congruence subgroups

Published on 29 Nov 2018 - 4:58

List Question

How to prove that $M_{k-12} \to S_k$ is an isomorphism?

Bijection between subgroups of $\text{Mat}_2(\mathbb{Z})$ and $\mathbb{Z^2}$?

Convexity Bound of Rankin-Selberg L-Function

Lower bound for sum of Hecke eigenvalues

G(k,X) is a modular form of weight k and character X

Show that $\Delta \ne 0$ and LI of $G_4^3$ and $G_6^2$ are equivalent.

Location of the zeros of Dedekind Eta Function

Uniqueness of $L$-series of cusp forms

Construction of eigenfunction for Hecke operators $T_p$

$f$ is a normalized eigenform $\Rightarrow$ so is $f^\sigma$, for $\sigma \in \operatorname{Aut}\mathbb{C}$

Show that $I_r(MN, z) = w_r(M,N) I_r(M,Nz) I_r(N, z)$.

Show that $(f|M)(z) := (cz+d)^{-r/2}f(Mz)$ has a weight $r/2$.

Value of the J Invariant at $\frac{1+\sqrt{-163}}{2}$

Polynomial growth of L-function

Maps between spaces of modular forms over different congruence subgroups

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