User Peter Humphries

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Non-vanishing of archimedean integral representations

answered Nov 23, 2023 at 15:43

3 votes

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Explicit description for action of Weyl element in Whittaker model for GL2

answered Oct 26, 2023 at 18:09

6 votes

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Is the GL(2,R)-representation of smooth, odd and 0-homogeneous functions on the punctured plane irreducible?

answered Jun 21, 2023 at 19:08

6 votes

Vinogradov-Korobov prime number theorem for number fields

answered May 3, 2023 at 22:18

6 votes

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Effective bound of $L(1,\chi)$

answered May 3, 2023 at 14:35

1 vote

A $GL_1$ Voronoi formula

answered May 3, 2023 at 14:24

4 votes

What are the best known upper bounds for $\frac{1}{L(s, \chi)}$?

answered Mar 27, 2023 at 23:54

7 votes

Is $\frac{1}{L(1+it)}$ unbounded?

answered Apr 5, 2022 at 16:56

8 votes

Computing the Petersson norm of newforms of weight 2 from the symmetric square $L$-function

answered Dec 10, 2021 at 18:19

9 votes

A question on the period integral of Rankin-Selberg $L$-function

answered Nov 7, 2021 at 22:47

13 votes

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Contemporary introduction to Godement-Jacquet "Zeta functions of simple algebras"

answered Mar 13, 2021 at 23:36

3 votes

Distribution of zeros of real quadratic Dirichlet L-functions in small intervals

answered Feb 21, 2021 at 20:51

2 votes

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Representation of $GL_2(\mathcal{O})$ in space of functions on projective line

answered Feb 4, 2021 at 20:47

10 votes

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Spectral decomposition of product of modular functions

answered Nov 18, 2020 at 23:31

18 votes

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Sign of the function $f(n)=\sum_{k=1}^n\frac{\mu(k)}{k}$

answered Aug 6, 2020 at 22:24

4 votes

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A question related to Hilbert modular form

answered Jul 28, 2020 at 9:08

6 votes

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Conductor of Principal series representation

answered Dec 10, 2019 at 15:23

12 votes

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How strong is the requirement of being a Gelbart-Jacquet lift?

answered Apr 29, 2019 at 13:39

3 votes

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The exceptional eigenvalues and Weyl's law in level aspect

answered Mar 14, 2019 at 11:24

7 votes

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Functional equation for general number fields

answered Jan 15, 2019 at 13:22

9 votes

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To what extent does the $(\mathfrak{g},K_{\infty})$ module determines the automorphic representation?

answered Jan 6, 2019 at 4:37

7 votes

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Corollary for Casselman-Shalika formula

answered Oct 10, 2018 at 10:40

15 votes

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Definitions of $\pi_1 \times \pi_2, \pi_1 \boxplus \pi_2, \pi_1 \boxtimes \pi_2$

answered Jun 11, 2018 at 13:59

8 votes

What is the archimedean Hecke algebra?

answered May 29, 2018 at 0:34

3 votes

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Consistency of the notion of conductor of a representation

answered Mar 2, 2018 at 12:36

14 votes

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Haar measure on $\mathrm{SL}_3(\mathbb{Z}) \backslash \mathrm{SL}_3(\mathbb{R}) / \mathrm{SO}_3(\mathbb{R})$

answered Feb 19, 2018 at 11:39

13 votes

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Special values of adjoint $L$-functions of automorphic representations of $\mathrm{GSp}(4)$ as Petersson norms

answered Nov 18, 2017 at 18:46

7 votes

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Poles of $L$-functions associated to Maass forms

answered Nov 9, 2017 at 18:22

13 votes

How does Riemann hypothesis implies estimates?

answered Oct 28, 2017 at 16:52

5 votes

Rankin-Selberg integral for GL(3) form with Odd Maass form on GL(2)

answered Jul 1, 2017 at 18:05

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79 Answers

Non-vanishing of archimedean integral representations

Explicit description for action of Weyl element in Whittaker model for GL2

Is the GL(2,R)-representation of smooth, odd and 0-homogeneous functions on the punctured plane irreducible?

Vinogradov-Korobov prime number theorem for number fields

Effective bound of $L(1,\chi)$

A $GL_1$ Voronoi formula

What are the best known upper bounds for $\frac{1}{L(s, \chi)}$?

Is $\frac{1}{L(1+it)}$ unbounded?

Computing the Petersson norm of newforms of weight 2 from the symmetric square $L$-function

A question on the period integral of Rankin-Selberg $L$-function

Contemporary introduction to Godement-Jacquet "Zeta functions of simple algebras"

Distribution of zeros of real quadratic Dirichlet L-functions in small intervals

Representation of $GL_2(\mathcal{O})$ in space of functions on projective line

Spectral decomposition of product of modular functions

Sign of the function $f(n)=\sum_{k=1}^n\frac{\mu(k)}{k}$

A question related to Hilbert modular form

Conductor of Principal series representation

How strong is the requirement of being a Gelbart-Jacquet lift?

The exceptional eigenvalues and Weyl's law in level aspect

Functional equation for general number fields

To what extent does the $(\mathfrak{g},K_{\infty})$ module determines the automorphic representation?

Corollary for Casselman-Shalika formula

Definitions of $\pi_1 \times \pi_2, \pi_1 \boxplus \pi_2, \pi_1 \boxtimes \pi_2$

What is the archimedean Hecke algebra?

Consistency of the notion of conductor of a representation

Haar measure on $\mathrm{SL}_3(\mathbb{Z}) \backslash \mathrm{SL}_3(\mathbb{R}) / \mathrm{SO}_3(\mathbb{R})$

Special values of adjoint $L$-functions of automorphic representations of $\mathrm{GSp}(4)$ as Petersson norms

Poles of $L$-functions associated to Maass forms

How does Riemann hypothesis implies estimates?

Rankin-Selberg integral for GL(3) form with Odd Maass form on GL(2)