On p-adic Siegel Eisenstein series

被引：3

作者：

Katsurada, Hidenori ^{[1
,2
]}

Nagaoka, Shoyu ^{[3
]}

机构：

[1] Muroran Inst Technol, 27-1 Mizumoto, Muroran, Hokkaido 0508585, Japan

[2] Hokkaido Univ, Dept Math, Kita 10, Nishi 8, Kitaku, Sapporo, Hokkaido 0600810, Japan

[3] Yamato Univ, Dept Math, 2-5-1 Katayama, Suita, Osaka 5640082, Japan

来源：

JOURNAL OF NUMBER THEORY | 2023年 / 251卷

关键词：

Siegel Eisenstein series; p-Adic modular forms; EXPLICIT FORMULA; LOCAL-DENSITIES;

D O I：

10.1016/j.jnt.2023.04.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalization of Serre's p-adic Eisenstein series in the case of Siegel modular forms is studied and a coincidence between a p-adic Siegel Eisenstein series and a genus theta series associated with a quaternary quadratic form is proved.(c) 2023 Elsevier Inc. All rights reserved.

引用

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页码：3 / 30

页数：28

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