A p-ADIC LIMIT OF SIEGEL-EISENSTEIN SERIES OF PRIME LEVEL q

被引：2

作者：

Mizuno, Yoshinori ^{[1
]}

机构：

[1] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2008年 / 4卷 / 05期

关键词：

Siegel modular forms; Eisenstein series; p-adic properties;

D O I：

10.1142/S1793042108001729

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a p-adic limit of a Siegel-Eisenstein series of prime level q becomes a Siegel modular form of level pq. This paper contains a simple formula for Fourier coefficients of a Siegel-Eisenstein series of degree two and prime levels.

引用

页码：735 / 746

页数：12

共 50 条

[21] P-ADIC INTERPOLATION OF REAL ANALYTIC EISENSTEIN SERIES
KATZ, NM
ANNALS OF MATHEMATICS, 1976, 104 (03) : 459 - 571
[22] Eisenstein series, p-adic modular functions, and overconvergence
Kiming, Ian
Rustom, Nadim
RESEARCH IN NUMBER THEORY, 2021, 7 (04)
[23] ORDINARY p-ADIC EISENSTEIN SERIES AND p-ADIC L-FUNCTIONS FOR UNITARY GROUPS
Hsieh, Ming-Lun
ANNALES DE L INSTITUT FOURIER, 2011, 61 (03) : 987 - 1059
[24] On Siegel-Eisenstein series attached to certain cohomological representations
Miyazaki, Takuya
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2011, 63 (02) : 599 - 646
[25] On derivatives of Siegel-Eisenstein series over global function fields
Wei, Fu-Tsun
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2019, 100 (02): : 518 - 544
[26] Fourier coefficients of degree two Siegel-Eisenstein series with trivial character at squarefree level
Dickson, Martin J.
RAMANUJAN JOURNAL, 2015, 37 (03): : 541 - 562
[27] p-ADIC LIMIT OF THE EISENSTEIN SERIES ON THE EXCEPTIONAL GROUP OF TYPE E 7,3
Katsurada, Hidenori
Kim, Henry H.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (10) : 4203 - 4216
[28] p-ADIC EISENSTEIN-KRONECKER SERIES FOR CM ELLIPTIC CURVES AND THE KRONECKER LIMIT FORMULAS
Bannai, Kenichi
Furusho, Hidekazu
Kobayashi, Shinichi
NAGOYA MATHEMATICAL JOURNAL, 2015, 219 : 269 - 302
[29] The p-adic L-functions of evil Eisenstein series
Bellaiche, Joel
Dasgupta, Samit
COMPOSITIO MATHEMATICA, 2015, 151 (06) : 999 - 1040
[30] A remark on Serre's example of p-adic Eisenstein series
Shoyu Nagaoka
Mathematische Zeitschrift, 2000, 235 : 227 - 250

← 1 2 3 4 5 →