On the Periods of Ikeda-Yamana Lift for the Unitary Group I
Jin Higashitani

TL;DR
This paper expresses the periods of certain lifted Hermitian modular forms on unitary groups in terms of special values of L-functions, extending previous results related to Ikeda's conjecture.
Contribution
It provides a new explicit formula for periods of Ikeda-Yamana lifts on unitary groups in terms of L-functions, generalizing Katsurada's earlier work.
Findings
Expressed the period of I_n(f) in terms of L-values.
Extended Katsurada's result on Ikeda's conjecture.
Connected Hermitian modular forms with automorphic L-functions.
Abstract
Let be a totally real field and be a quadratic CM extension field of . Let be a positive integer. We denote by the lift of the Hermitian modular form of weight with level 1 to unramified automorphic forms defined on the unitary group constructed by Yamana. We then express the period of for Hecke eigenforms in terms of special values of some types of -functions of . This is an extension of Katsurada's result concerning Ikeda's conjecture.
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