On 𝑝-adic Hermitian Eisenstein series-Reference-Cited by-同舟云学术

On 𝑝-adic Hermitian Eisenstein series

Published:2006-03-23 Issue:9 Volume:134 Page:2533-2540
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Nagaoka Shoyu

Abstract

In this paper we generalize the notion of p p -adic modular form to the Hermitian modular case and prove a formula that shows a coincidence between certain p p -adic Hermitian Eisenstein series and the genus theta series associated with Hermitian matrix with determinant p p .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-09/S0002-9939-06-08286-4/S0002-9939-06-08286-4.pdf

Reference11 articles.

1. Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen;Böcherer, Siegfried;Manuscripta Math.,1984

2. Zur Theorie der hermitischen Formen;Braun, Hel;Abh. Math. Sem. Hansischen Univ.,1941

3. Hermitian modular functions;Braun, Hel;Ann. of Math. (2),1949

4. Local zeta functions on Hermitian forms and its application to local densities;Hironaka, Yumiko;J. Number Theory,1998

5. On some 𝑝-adic properties of Siegel-Eisenstein series;Katsurada, H.;J. Number Theory,2004

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. -adic limit of the Eisenstein series on the exceptional group of type _{7,3};Proceedings of the American Mathematical Society;2024-08-07

2. On p-adic quaternionic Eisenstein series;Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg;2013-09-25

3. On p -adic Hermitian Eisenstein series and p -adic Siegel cusp forms;Journal of Number Theory;2012-09

4. On LevelpSiegel Cusp Forms of Degree Two;International Journal of Mathematics and Mathematical Sciences;2012

5. Congruences for Hermitian modular forms of degree 2;Journal of Number Theory;2011-08