Classification of some Global Integrals related to groups of type An

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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 An, and using all this we derive a certain interesting conjecture about the length of these integrals.

Original languageEnglish
Pages (from-to)169-202
Number of pages34
JournalJournal of Number Theory
Volume165
DOIs
StatePublished - 1 Aug 2016

Keywords

  • Automorphic representations
  • L functions

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