NDLI: On p-adic quaternionic Eisenstein series

Content Provider	Springer Nature Link
Author	Kikuta, Toshiyuki Nagaoka, Shoyu
Copyright Year	2013
Abstract	We show that certain p-adic Eisenstein series for quaternionic modular groups of degree 2 become “real” modular forms of level p in almost all cases. To prove this, we introduce a U(p) type operator. We also show that there exists a p-adic Eisenstein series of the above type that has transcendental coefficients. Former examples of p-adic Eisenstein series for Siegel and Hermitian modular groups are both rational (i.e., algebraic).
Starting Page	147
Ending Page	157
Page Count	11
File Format	PDF
ISSN	00255858
Journal	Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Volume Number	83
Issue Number	2
e-ISSN	18658784
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-09-25
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	p-Adic Eisenstein series Quaternionic modular forms Congruences for modular and $p$-adic modular forms Other groups and their modular and automorphic forms Algebra Differential Geometry Combinatorics Number Theory Topology Geometry
Content Type	Text
Resource Type	Article
Subject	Mathematics

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On p-adic quaternionic Eisenstein series