Classification of some Global Integrals related to groups of type An

David Ginzburg

doi:10.1016/j.jnt.2016.01.006

Classification of some Global Integrals related to groups of type A_n

David Ginzburg

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we start a classification of certain global integrals. First, we use the language of unipotent orbits to write down a family of global integrals. We then classify all those integrals which satisfy the dimension equation we set. After doing so, we check which of these integrals are global unipotent integrals. We do all this for groups of type A_n, and using all this we derive a certain interesting conjecture about the length of these integrals.

Original language	English GB
Pages (from-to)	169-202
Number of pages	34
Journal	Journal of Number Theory
Volume	165
DOIs	https://doi.org/10.1016/j.jnt.2016.01.006
State	Published - 1 Aug 2016

Keywords

Automorphic representations
L functions

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jnt.2016.01.006

Cite this

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AB - In this paper we start a classification of certain global integrals. First, we use the language of unipotent orbits to write down a family of global integrals. We then classify all those integrals which satisfy the dimension equation we set. After doing so, we check which of these integrals are global unipotent integrals. We do all this for groups of type An, and using all this we derive a certain interesting conjecture about the length of these integrals.

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KW - L functions

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