Generating functions on covering groups

David Ginzburg

doi:https://doi.org/10.1112/S0010437X17007655

Generating functions on covering groups

David Ginzburg

School of Mathematical Sciences

Tel Aviv University

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

Abstract

In this paper we prove a conjecture relating the Whittaker function of a certain generating function with the Whittaker function of the theta representation . This enables us to establish that a certain global integral is factorizable and hence deduce the meromorphic continuation of the standard partial function . In fact we prove that this partial function has at most a simple pole at . Here, is a genuine irreducible cuspidal representation of the group .

Original language	English
Pages (from-to)	671-684
Number of pages	14
Journal	Compositio Mathematica
Volume	154
Issue number	4
DOIs	https://doi.org/10.1112/S0010437X17007655
State	Published - 1 Apr 2018

Keywords

L functions
generating functions
metaplectic covering groups

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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https://doi.org/10.1112/S0010437X17007655

Cite this

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AB - In this paper we prove a conjecture relating the Whittaker function of a certain generating function with the Whittaker function of the theta representation . This enables us to establish that a certain global integral is factorizable and hence deduce the meromorphic continuation of the standard partial function . In fact we prove that this partial function has at most a simple pole at . Here, is a genuine irreducible cuspidal representation of the group .

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KW - metaplectic covering groups

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JO - Compositio Mathematica

JF - Compositio Mathematica

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ER -

Generating functions on covering groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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