p-adic Siegel–Eisenstein series of degree two

Sho Takemori

Type: Article

Publication Date: 2012-02-21

Citations: 12

DOI: https://doi.org/10.1016/j.jnt.2012.01.001

View Publication

Locations

Journal of Number Theory - View
Kyoto University Research Information Repository (Kyoto University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	p-adic Siegel-Eisenstein series of degree two	2013	翔竹森
+	A p-ADIC LIMIT OF SIEGEL–EISENSTEIN SERIES OF PRIME LEVEL q	2008	Yoshinori Mizuno
+	$p$-ADIC SIEGEL-EISENSTEIN SERIES OF DEGREE TWO (Automorphic forms, trace formulas and zeta functions)	2011	Sho Takemori
+	$p$-ADIC SIEGEL-EISENSTEIN SERIES OF DEGREE TWO (Automorphic forms, trace formulas and zeta functions)	2011	翔竹森
+	A Drichlet series associated to Eisenstein series of degree two	1974	Erik A. Lippa
+ PDF Chat	Congruences of Siegel Eisenstein series of degree two	2020	Takuya Yamauchi
+ PDF Chat	On p-adic Siegel–Eisenstein series of weight k	2008	Yoshinori Mizuno
+	A certain Dirichlet series attached to Siegel modular forms of degree two	1989	Winfried Kohnen Nils-Peter Skoruppa
+	Fourier Coefficients of Generalized Eisenstein Series of Degree Two (P-Adic L-Functions and Algebraic Number Theory)	1981	信一郎水本
+	Fourier Coefficients of Generalized Eisenstein Series of Degree Two (P-Adic L-Functions and Algebraic Number Theory)	1981	Shin-ichiro Mizumoto
+	p-adic Siegel Eisenstein series of degree n (保型形式と保型的L函数の研究 : RIMS研究集会報告集)	2013	翔竹森
+	On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level	2022	Keiichi Gunji
+	p-Adic Fourier Series	1992	Chris F. Woodcock
+	An extended table of the Fourier coefficients of Eisenstein series of degree two	1982	Michio Ozeki Tadashi Washio
+	A Survey on p-Adic Integrals	2019	Uğur Duran Hemen Dutta
+	An explicit arithmetic formula for the Fourier coefficients of Siegel–Eisenstein series of degree two and square-free odd levels	2008	Yoshinori Mizuno
+	On some p-adic properties of Siegel–Eisenstein series	2003	Hidenori Katsurada Shōyū Nagaoka
+	On p-adic Siegel Eisenstein series	2023	Hidenori Katsurada Shoyu Nagaoka
+	P-Adic Binomial Coefficients MOD P	1985	Roger C. Alperin
+	Power series in P-adic roots of unity	2002	Ana Raissa Bernardo Neira

Works That Cite This (12)

Action	Title	Year	Authors
+	A semi-ordinary $p$-stabilization of Siegel Eisenstein series for symplectic groups and its $p$-adic interpolation	2012	Hisa-aki Kawamura
+	Siegel Eisenstein series of degree n and Λ-adic Eisenstein series	2014	Sho Takemori
+	Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp	2022	Keiichi Gunji
+ PDF Chat	Congruences of Siegel Eisenstein series of degree two	2020	Takuya Yamauchi
+ PDF Chat	Fourier coefficients of degree two Siegel–Eisenstein series with trivial character at squarefree level	2014	Martin Dickson
+	On the Fourier coefficients of Siegel–Eisenstein series of degree 2 for odd level	2022	Keiichi Gunji
+	On p-adic Siegel–Eisenstein series from a point of view of the theory of mod $$p^m$$ singular forms	2024	Siegfried Böcherer Toshiyuki Kikuta
+	Congruences of Siegel Eisenstein series of degree two	2019	Takuya Yamauchi
+	On the Fourier coefficients of the Siegel Eisenstein series of odd level and the genus theta series	2022	Keiichi Gunji
+	On the Fourier coefficients of Siegel Eisenstein series of degree 3 of an odd prime level with the quadratic character	2023	Keiichi Gunji

Works Cited by This (8)

Action	Title	Year	Authors
+	On some p-adic properties of Siegel–Eisenstein series	2003	Hidenori Katsurada Shōyū Nagaoka
+	On Eisenstein series	1983	Goro Shimura
+ PDF Chat	On p-adic Siegel–Eisenstein series of weight k	2008	Yoshinori Mizuno
+	Some congruences for Saito-Kurokawa lifts	2009	Yoshinori Mizuno Shōyū Nagaoka
+	An explicit formula for Siegel series	1999	Hidenori Katsurada
+	Confluent hypergeometric functions on tube domains	1982	Goro Shimura
+	An explicit arithmetic formula for the Fourier coefficients of Siegel–Eisenstein series of degree two and square-free odd levels	2008	Yoshinori Mizuno
+	Euler Products and Eisenstein Series	1997	Goro Shimura