PreprintCC BY 4.0arXiv
On the Periods of Ikeda-Yamana Lift for the Unitary Group
Abstract
Let F be a totally real field and E be a quadratic CM extension field of F. Let n be an odd positive integer. Yamana constructed a lift from Hermitian modular forms to automorphic forms on the unitary group. We denote by In(f) the form obtained by applying this lift to the Hermitian modular form f of weight (κv)v|∞ and level 1. We then express the period perdIn(f), In(f) of In(f) for Hecke eigenforms f in terms of special values of certain L-functions attached to f. This is an extension of Katsurada's result concerning Ikeda's conjecture.
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BibTeX
@misc{higashitani2026periods,
title = {{On the Periods of Ikeda-Yamana Lift for the Unitary Group}},
author = {Jin Higashitani},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.18294},
eprint = {2605.18294},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.18294},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the Periods of Ikeda-Yamana Lift for the Unitary Group
AU - Jin Higashitani
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2605.18294
UR - https://arxiv.org/abs/2605.18294
AB - Let F be a totally real field and E be a quadratic CM extension field of F. Let n be an odd positive integer. Yamana constructed a lift from Hermitian modular forms to automorphic forms on the unitary group. We denote by I_n(f) the form obtained by applying this lift to the Hermitian modular form f of weight (κ_v)_v|∞ and level 1. We then express the period perdI_n(f), I_n(f) of I_n(f) for Hecke eigenforms f in terms of special values of certain L-functions attached to f. This is an extension of Katsurada's result concerning Ikeda's conjecture.
ER -