Theta operator on Hermitian modular forms over the Eisenstein field

被引：3

作者：

Nagaoka, Shoyu ^{[1
]}

Takemori, Sho ^{[2
]}

机构：

[1] Kindai Univ, Higashiosaka, Osaka, Japan

[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

来源：

RAMANUJAN JOURNAL | 2020年 / 52卷 / 01期

基金：

日本学术振兴会;

关键词：

Hermitian modular forms; Mod p modular forms; Congruences for modular forms; KERNEL;

D O I：

10.1007/s11139-018-0111-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The mod p kernel of the theta operator on Hermitian modular forms is studied in the case that the base field is the Eisenstein field.

引用

页码：105 / 121

页数：17

共 50 条

[1] Theta operator on Hermitian modular forms over the Eisenstein field
Shoyu Nagaoka
Sho Takemori
[J]. The Ramanujan Journal, 2020, 52 : 105 - 121
[2] On the theta operator for Hermitian modular forms of degree 2
Kikuta, Toshiyuki
Nagaoka, Shoyu
[J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2017, 87 (01): : 145 - 163
[3] On the theta operator for Hermitian modular forms of degree 2
Toshiyuki Kikuta
Shoyu Nagaoka
[J]. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2017, 87 : 145 - 163
[4] Hermitian Modular Forms of Degree 2 over the Eisenstein Integers
Woitalla, Martin
[J]. AUTOMORPHIC FORMS: RESEARCH IN NUMBER THEORY FROM OMAN, 2014, 115 : 233 - 242
[5] On ordinary primes for modular forms and the theta operator
Chida, Masataka
Kaneko, Masanobu
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (04) : 1001 - 1005
[6] ON THE THETA OPERATOR FOR MODULAR FORMS MODULO PRIME POWERS
Chen, Imin
Kiming, Ian
[J]. MATHEMATIKA, 2016, 62 (02) : 321 - 336
[7] A theta operator on Picard modular forms modulo an inert prime
de Shalit, Ehud
Goren, Eyal Z.
[J]. RESEARCH IN THE MATHEMATICAL SCIENCES, 2016, 3
[8] A theta operator on Picard modular forms modulo an inert prime
Ehud de Shalit
Eyal Z. Goren
[J]. Research in the Mathematical Sciences, 3
[9] HERMITIAN QUADRATIC-FORMS AND HERMITIAN MODULAR FORMS
COHEN, DM
RESNIKOFF, HL
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1978, 76 (02) : 329 - 337
[10] The theta-operator and the divisors of modular forms on genus zero subgroups
Ahlgren, S
[J]. MATHEMATICAL RESEARCH LETTERS, 2003, 10 (5-6) : 787 - 798

← 1 2 3 4 5 →