Period of the adelic Ikeda lift for U(m, m)

We give a period formula for the adelic Ikeda lift of an elliptic modular form f for U ( m ,  m ) in terms of special values of the adjoint L -functions of f . This is an adelic version of Ikeda’s conjecture on the period of the classical Ikeda lift for U ( m ,  m ).

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Bibliographic Details
Published inAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg Vol. 88; no. 1; pp. 67 - 86
Main Author Katsurada, Hidenori
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2018
Springer Nature B.V
Subjects
Algebra
Differential Geometry
Geometry
Lift
Mathematics
Mathematics and Statistics
Number Theory
Topology
Period
11F67
Adelic Hermitian Ikeda lift
11F55
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Summary:We give a period formula for the adelic Ikeda lift of an elliptic modular form f for U ( m ,  m ) in terms of special values of the adjoint L -functions of f . This is an adelic version of Ikeda’s conjecture on the period of the classical Ikeda lift for U ( m ,  m ).
ISSN:0025-5858
1865-8784
DOI:10.1007/s12188-017-0178-1