Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series

Ameya Pitale, Abhishek Saha, Ralf Schmidt

Type: Article

Publication Date: 2022-01-01

Citations: 2

DOI: https://doi.org/10.5565/publmat6612216

Abstract

We study nearly holomorphic Siegel Eisenstein series of general levels and characters on H 2n , 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.

Locations

arXiv (Cornell University) - View - PDF
Publicacions Matemàtiques - View
Queen Mary Research Online (Queen Mary University of London) - View - PDF

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+ PDF Chat	On the Functional Equations Satisfied by Eisenstein Series	1976	R. P. Langlands
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