Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series
Pitale, Ameya (University of Oklahoma. Department of Mathematics)
Saha, Abhishek (Queen Mary University of London. School of Mathematical Sciences)
Schmidt, Ralf (University of North Texas. Department of Mathematics)

Date:	2022
Abstract:	We study nearly holomorphic Siegel Eisenstein series of general levels and characters on H2n, the Siegel upper half space of degree 2n. We prove that the Fourier coefficients of these Eisenstein series (once suitably normalized) lie in the ring of integers of Qp for all sufficiently large primes p. We also prove that the pullbacks of these Eisenstein series to Hn × Hn are cuspidal under certain assumptions.
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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Siegel Eisenstein series ; Siegel modular forms ; Pullback formula ; Nearly holomorphic
Published in:	Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 405-434 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/396538
DOI: 10.5565/PUBLMAT6612216

30 p, 468.9 KB

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