On Higher Congruences Between Cusp Forms and Eisenstein Series

被引:2
|
作者
Naskrecki, Bartosz [1 ]
机构
[1] Adam Mickiewicz Univ, Grad Sch, Fac Math & Comp Sci, Poznan, Poland
来源
关键词
D O I
10.1007/978-3-319-03847-6_10
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper contains a numerical study of congruences modulo prime powers between newforms and Eisenstein series at prime levels and with equal weights. We study the upper bound on the exponent of the congruence and formulate several observations based on the results of our computations.
引用
收藏
页码:257 / 277
页数:21
相关论文
共 50 条
  • [31] Linear congruences and relations on spaces of cusp forms
    El-Guindy, Ahmad
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2007, 3 (04) : 529 - 539
  • [32] IWASAWA MODULES ATTACHED TO CONGRUENCES OF CUSP FORMS
    HIDA, H
    [J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1986, 19 (02): : 231 - 273
  • [33] On p-adic Hermitian Eisenstein series and p-adic Siegel cusp forms
    Kikuta, Toshiyuki
    Mizuno, Yoshinori
    [J]. JOURNAL OF NUMBER THEORY, 2012, 132 (09) : 1949 - 1961
  • [35] SUBCONVEX EQUIDISTRIBUTION OF CUSP FORMS: REDUCTION TO EISENSTEIN OBSERVABLES
    Nelson, Paul D.
    [J]. DUKE MATHEMATICAL JOURNAL, 2019, 168 (09) : 1665 - 1722
  • [36] Eisenstein series and their applications to some arithmetic identities and congruences
    Daeyeoul Kim
    Aeran Kim
    Ayyadurai Sankaranarayanan
    [J]. Advances in Difference Equations, 2013
  • [37] Ramanujan type congruences for the Klingen-Eisenstein series
    Toshiyuki Kikuta
    Sho Takemori
    [J]. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2014, 84 : 257 - 266
  • [38] Eisenstein series and their applications to some arithmetic identities and congruences
    Kim, Daeyeoul
    Kim, Aeran
    Sankaranarayanan, Ayyadurai
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [39] Ramanujan type congruences for the Klingen-Eisenstein series
    Kikuta, Toshiyuki
    Takemori, Sho
    [J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2014, 84 (02): : 257 - 266
  • [40] On certain congruences for Fourier coefficients of classical cusp forms
    Ishikawa, T
    [J]. ACTA ARITHMETICA, 2003, 108 (02) : 123 - 126