Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series
dc.contributor.author | Pitale, A | |
dc.contributor.author | Saha, A | |
dc.contributor.author | Schmidt, R | |
dc.date.accessioned | 2021-05-28T13:56:20Z | |
dc.date.available | 2021-03-02 | |
dc.date.available | 2021-05-28T13:56:20Z | |
dc.identifier.issn | 0214-1493 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/72142 | |
dc.description | 26 pages | en_US |
dc.description | 26 pages | en_US |
dc.description.abstract | 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. | en_US |
dc.publisher | Universitat de Barcelona | en_US |
dc.relation.ispartof | Publicacions Matematiques | |
dc.subject | math.NT | en_US |
dc.title | Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series | en_US |
dc.type | Article | en_US |
pubs.notes | Not known | en_US |
pubs.publication-status | Accepted | en_US |
dcterms.dateAccepted | 2021-03-02 |
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Mathematics [1468]