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 language | English (US) |
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Pages (from-to) | 111-139 |
Number of pages | 29 |
Journal | Ramanujan Journal |
Volume | 45 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2018 |
Externally published | Yes |
Keywords
- Fourier–Jacobi periods
- Gan–Gross–Prasad conjecture
- Saito–Kurokawa lifts
ASJC Scopus subject areas
- Algebra and Number Theory