NDLI: Ramanujan type congruences for the Klingen-Eisenstein series

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Ramanujan type congruences for the Klingen-Eisenstein series

Content Provider	Springer Nature Link
Author	Kikuta, Toshiyuki Takemori, Sho
Copyright Year	2014
Abstract	In the case of Siegel modular forms of degree $$n$$ , we prove that, for almost all prime ideals $$\mathfrak {p}$$ in any ring of algebraic integers, mod $$\mathfrak {p}^m$$ cusp forms are congruent to true cusp forms of the same weight. As an application we give congruences for the Klingen-Eisenstein series and cusp forms, which can be regarded as a generalization of Ramanujan’s congruence. We will conclude by giving numerical examples.
Starting Page	257
Ending Page	266
Page Count	10
File Format	PDF
ISSN	00255858
Journal	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Volume Number	84
Issue Number	2
e-ISSN	18658784
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-09-19
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Congruences for modular forms Klingen-Eisenstein series Cusp forms Ramanujan Congruences for modular and $p$-adic modular forms Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms Algebra Differential Geometry Combinatorics Number Theory Topology Geometry
Content Type	Text
Resource Type	Article
Subject	Mathematics

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