Question

Normalisation of $L$-function for classical modular forms and automorphic representations

score 112 · Answer 1 · 2026-05-10 19:28:47

112

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Normalisation of $L$-function for classical modular forms and automorphic representations

Published on 10 May 2026 - 19:28

score 99 · Answer 2 · 2026-04-15 07:17:44

99

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$N$-fixed vectors in smooth representations are also fixed by ${\rm SL}_2(\mathbf{Q}_p)$.

Published on 15 Apr 2026 - 7:17

score 26 · Answer 3 · 2026-04-16 11:20:51

26

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Reduced row echelon basis of weakly holomorphic modular forms have algebraic coefficients?

Published on 16 Apr 2026 - 11:20

score 42 · Answer 4 · 2026-04-16 23:39:17

42

Views

Subspace of newforms one-dimensional with CM $\implies$ unique newform a Poincare series.

Published on 16 Apr 2026 - 23:39

score 88 · Answer 5 · 2026-04-09 05:11:46

88

Views

Is the natural homomorphism $SL_2(\mathbb{Z})\to SL_2(\mathbb{Z}/N\mathbb{Z})$ onto?

Published on 09 Apr 2026 - 5:11

score 83 · Answer 6 · 2026-04-08 20:40:47

83

Views

Automorphic representations which are trivial at the archimedean place

Published on 08 Apr 2026 - 20:40

score 221 · Answer 7 · 2026-04-10 09:32:05

221

Views

Proof of Eichler-Shimura isomorphism

Published on 10 Apr 2026 - 9:32

score 136 · Answer 8 · 2026-04-15 07:38:28

136

Views

Classification of automorphy factors for $\mathrm{SL}_2(\mathbb{R})$ on the upper half-plane

Published on 15 Apr 2026 - 7:38

score 65 · Answer 9 · 2026-05-10 14:59:46

65

Views

Fricke involution’s effect on character

Published on 10 May 2026 - 14:59

score 39 · Answer 10 · 2026-04-13 01:26:46

39

Views

Reference for classical Ramanujan conjecture for number fields

Published on 13 Apr 2026 - 1:26

score 40 · Answer 11 · 2026-04-13 17:49:51

40

Views

Definition of Bessel/Fourier-Jacobi/Whittaker models

Published on 13 Apr 2026 - 17:49

score 22 · Answer 12 · 2026-03-25 17:36:10

22

Views

Surjectivity of Weil representation

Published on 25 Mar 2026 - 17:36

score 59 · Answer 13 · 2026-04-14 23:57:28

59

Views

Selberg's Trace Formula for Hecke Eigenvalues

Published on 14 Apr 2026 - 23:57

score 42 · Answer 14 · 2026-04-14 08:39:31

42

Views

Does the order of vanishing at infinity for an automorphic form depend on the chosen period?

Published on 14 Apr 2026 - 8:39

score 91 · Answer 15 · 2026-03-25 07:47:11

91

Views

Relationship between scalar and vector valued automorphic forms

Published on 25 Mar 2026 - 7:47

List Question

Normalisation of $L$-function for classical modular forms and automorphic representations

$N$-fixed vectors in smooth representations are also fixed by ${\rm SL}_2(\mathbf{Q}_p)$.

Reduced row echelon basis of weakly holomorphic modular forms have algebraic coefficients?

Subspace of newforms one-dimensional with CM $\implies$ unique newform a Poincare series.

Is the natural homomorphism $SL_2(\mathbb{Z})\to SL_2(\mathbb{Z}/N\mathbb{Z})$ onto?

Automorphic representations which are trivial at the archimedean place

Proof of Eichler-Shimura isomorphism

Classification of automorphy factors for $\mathrm{SL}_2(\mathbb{R})$ on the upper half-plane

Fricke involution’s effect on character

Reference for classical Ramanujan conjecture for number fields

Definition of Bessel/Fourier-Jacobi/Whittaker models

Surjectivity of Weil representation

Selberg's Trace Formula for Hecke Eigenvalues

Does the order of vanishing at infinity for an automorphic form depend on the chosen period?

Relationship between scalar and vector valued automorphic forms

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