Skip to main content

All Questions

Filter by
Sorted by
Tagged with
4 votes
0 answers
366 views

A question on vanishing of Godement–Jacquet-like zeta integral

$\DeclareMathOperator\GL{GL}$The classical Godement–Jacquet zeta integral is of this form: $f$ is a matrix coefficient of a cuspidal automorphic representation of $\GL_n(\mathbb{A}_\mathbb{Q})$, and $\...
Adjoint Functor's user avatar
1 vote
0 answers
242 views

Constant coefficient of Eisenstein series

Let $\chi$ be a character of $\mathbb{Q}^{\times}\setminus\mathbb{A}^{\times}$. We define an induced representation of $Mp_2(\mathbb{A})\simeq SL_2(\mathbb{A})\times \mathbb{C}^1$, $$I(s,\chi) := \{\...
Aersk's user avatar
  • 103
7 votes
1 answer
1k views

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

The question is in the title: The book Godement-Jacquet "Zeta functions of simple algebras" is from 1971. Has there ever been a textbook introduction to this material, or at least part of it?...
user175904's user avatar