Generating functions on covering groups

Research output: Contribution to journalArticlepeer-review


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
Issue number4
StatePublished - 1 Apr 2018


  • L functions
  • generating functions
  • metaplectic covering groups

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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