Generating functions on covering groups

David Ginzburg*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)671-684
Number of pages14
JournalCompositio Mathematica
Volume154
Issue number4
DOIs
StatePublished - 1 Apr 2018

Funding

FundersFunder number
February
Israel Science Foundation259/14

    Keywords

    • L functions
    • generating functions
    • metaplectic covering groups

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