Abstract
We prove an algebraicity property for a certain ratio of Petersson norms associated to a Siegel cusp form of degree 2 (and arbitrary level) whose adelization generates a weak endoscopic lift. As a preparation for this, we explicate various features of the correspondence between scalar valued Siegel cusp forms of degree n and automorphic representations on GSp_{2n}.
Original language | English |
---|---|
Pages (from-to) | 2361-2412 |
Journal | Forum Mathematicum |
Volume | 27 |
Issue number | 4 |
Publication status | Published - 2015 |
Keywords
- math.NT
- Siegel modular forms
- automorphic representations
- Petersson norms
- Yoshida lifts
- 11F46
- 11F70
- 11F67