A doubling integral for G2

David Ginzburg; Joseph Hundley

doi:10.1007/s11856-015-1164-x

A doubling integral for G₂

David Ginzburg, Joseph Hundley

School of Mathematical Sciences

Tel Aviv University

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

Abstract

This paper introduces a new integral representation for the standard L-function of an irreducible cuspidal automorphic representation of the exceptional group G2, and also for the twist of this L-function by an arbitrary character. Because our construction unfolds to a matrix coefficient rather than a Whittaker function, it applies to non-generic representations as well as generic ones.

Original language	English
Pages (from-to)	835-879
Number of pages	45
Journal	Israel Journal of Mathematics
Volume	207
Issue number	2
DOIs	https://doi.org/10.1007/s11856-015-1164-x
State	Published - 27 Apr 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "This paper introduces a new integral representation for the standard L-function of an irreducible cuspidal automorphic representation of the exceptional group G2, and also for the twist of this L-function by an arbitrary character. Because our construction unfolds to a matrix coefficient rather than a Whittaker function, it applies to non-generic representations as well as generic ones.",

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AB - This paper introduces a new integral representation for the standard L-function of an irreducible cuspidal automorphic representation of the exceptional group G2, and also for the twist of this L-function by an arbitrary character. Because our construction unfolds to a matrix coefficient rather than a Whittaker function, it applies to non-generic representations as well as generic ones.

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DO - 10.1007/s11856-015-1164-x

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A doubling integral for G₂

Abstract

All Science Journal Classification (ASJC) codes

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