Fourier–Jacobi periods of classical Saito–Kurokawa lifts

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2 Scopus citations

Abstract

Kohnen–Skoruppa (Invent Math 95(3): 541–558, 1989) proved a formula for the ratio of the Petersson inner products of the half integral weight modular form and its Saito–Kurokawa lifting. We give an interpretation of this formula in the framework of the refined Gan–Gross–Prasad conjecture. This provides us with an example of the refined Gan–Gross–Prasad conjecture for the nontempered representations.

Original languageEnglish (US)
Pages (from-to)111-139
Number of pages29
JournalRamanujan Journal
Volume45
Issue number1
DOIs
StatePublished - Jan 1 2018
Externally publishedYes

Keywords

  • Fourier–Jacobi periods
  • Gan–Gross–Prasad conjecture
  • Saito–Kurokawa lifts

ASJC Scopus subject areas

  • Algebra and Number Theory

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