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.
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页码：3 / 30
页数：28
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