Structure of Hermitian modular forms modulo p and some applications

被引：0
作者：
Jaban Meher
Sujeet Kumar Singh
机构：
[1] National Institute of Science Education and Research,School of Mathematical Sciences
[2] Bhubaneswar,Department of Mathematics
[3] HBNI,undefined
[4] Indian Institute of Technology Bombay,undefined
来源：
Research in Number Theory | 2021年 / 7卷
关键词：
Hermitian modular forms; Hermitian Jacobi forms; Heat operators; 11F33; 11F55; 11F50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We determine the ring structure of certain Hermitian modular forms of degree 2 modulo a prime p. As an application, we provide a criterion of not belonging in the mod p kernel of the heat operator for Hermitian cusp forms. We also provide examples of Hermitian modular forms which belong to the mod p kernel of the heat operator.
引用
收藏
相关论文
共 28 条
  • [1] Structure of Hermitian modular forms modulo p and some applications
    Meher, Jaban
    Singh, Sujeet Kumar
    RESEARCH IN NUMBER THEORY, 2021, 7 (03)
  • [2] Hermitian modular forms congruent to 1 modulo p
    Hentschel, Michael
    Nebe, Gabriele
    ARCHIV DER MATHEMATIK, 2009, 92 (03) : 251 - 256
  • [3] Hermitian modular forms congruent to 1 modulo p
    Michael Hentschel
    Gabriele Nebe
    Archiv der Mathematik, 2009, 92 : 251 - 256
  • [4] On Hermitian modular forms mod p
    Kikuta, Toshiyuki
    Nagaoka, Shoyu
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2011, 63 (01) : 211 - 238
  • [5] Differential operators for Hermitian Jacobi forms and Hermitian modular forms
    James D. Martin
    Jayantha Senadheera
    The Ramanujan Journal, 2017, 42 : 443 - 451
  • [6] Differential operators for Hermitian Jacobi forms and Hermitian modular forms
    Martin, James D.
    Senadheera, Jayantha
    RAMANUJAN JOURNAL, 2017, 42 (02) : 443 - 451
  • [7] Congruences in Hermitian Jacobi and Hermitian modular forms
    Meher, Jaban
    Singh, Sujeet Kumar
    FORUM MATHEMATICUM, 2020, 32 (02) : 501 - 523
  • [8] On the lifting of hermitian modular forms
    Ikeda, Tamotsu
    COMPOSITIO MATHEMATICA, 2008, 144 (05) : 1107 - 1154
  • [9] On p-divisibility of Fourier coefficients of Hermitian modular forms
    Nagaoka, Shoyu
    RAMANUJAN JOURNAL, 2024, 65 (02) : 929 - 937
  • [10] On the Miyawaki lifts of hermitian modular forms
    Atobe, Hiraku
    Kojima, Hisashi
    JOURNAL OF NUMBER THEORY, 2018, 185 : 281 - 318
123