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Nearly holomorphic
automorphic forms on $\mathrm{Sp}_{2n}$ with sufficiently
regular infinitesimal characters and applications
Shuji Horinaga |
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Vol. 316 (2022), No. 1, 81–129
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Abstract |
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We decompose the space of nearly holomorphic Hilbert–Siegel automorphic forms as representations of the adele group under certain assumptions. We also give an application for classical holomorphic Hilbert–Siegel modular forms. In particular, we show the surjectivity of the global Siegel operator for certain congruence subgroups with large weights. |
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Keywords
Siegel modular forms, Eisenstein series, nearly holomorphic
modular forms
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Mathematical Subject Classification
Primary: 11F30, 11F41, 11M36
Secondary: 11F22
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Milestones
Received: 17 November 2020
Revised: 19 July 2021
Accepted: 23 October 2021
Published: 26 February 2022
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Authors |
| Shuji Horinaga | |
| Center for Data Science Tokyo University of Science Tokyo Japan |
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