Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series
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Publisher
Journal
Publicacions Matematiques
ISSN
0214-1493
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We study nearly holomorphic Siegel Eisenstein series of general levels and characters on $\mathbb{H}_{2n}$, 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 $\mathbb{Q}_p$ for all sufficiently large primes $p$. We also prove that the pullbacks of these Eisenstein series to $\mathbb{H}_n \times \mathbb{H}_n$ are cuspidal under certain assumptions.
Authors
Pitale, A; Saha, A; Schmidt, RCollections
- Mathematics [1468]