On ratios of Petersson norms for Yoshida lifts

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...

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Bibliographic Details
Published inForum mathematicum Vol. 27; no. 4; pp. 2361 - 2412
Main Author Saha, Abhishek
Format Journal Article
LanguageEnglish
Published De Gruyter 01.07.2015
Subjects
11F46
11F67
11F70
automorphic representations
Petersson norms
Siegel modular forms
Yoshida lifts
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Summary: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 and automorphic representations on
ISSN:0933-7741
1435-5337
DOI:10.1515/forum-2013-0093