Automorphic products that are singular modulo primes

被引:0
|
作者
Wang, Haowu [1 ]
Williams, Brandon [2 ]
机构
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
[2] Rhein Westfal TH Aachen, Lehrstuhl Math A, D-52056 Aachen, Germany
关键词
THETA OPERATOR; P KERNEL; FORMS; ALGEBRAS;
D O I
10.1007/s40993-023-00495-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We use Rankin-Cohen brackets on O(n, 2) to prove that the Fourier coefficients of reflective Borcherds products often satisfy congruences modulo certain primes.
引用
收藏
页数:16
相关论文
共 50 条
  • [31] Congruences of multipartition functions modulo powers of primes
    William Y. C. Chen
    Daniel K. Du
    Qing-Hu Hou
    Lisa H. Sun
    The Ramanujan Journal, 2014, 35 : 1 - 19
  • [32] Iterations of Integer Polynomial Maps Modulo Primes
    Borisov, Alexander
    JOURNAL OF INTEGER SEQUENCES, 2013, 16 (08)
  • [33] The tangent function and power residues modulo primes
    Zhi-Wei Sun
    Czechoslovak Mathematical Journal, 2023, 73 : 971 - 978
  • [34] A new theorem on quadratic residues modulo primes
    Houa, Qing-Hu
    Panb, Hao
    Sun, Zhi-Wei
    COMPTES RENDUS MATHEMATIQUE, 2022, 360 (01) : 1065 - 1069
  • [35] ORBITS OF POLYNOMIAL DYNAMICAL SYSTEMS MODULO PRIMES
    Chang, Mei-Chu
    D'Andrea, Carlos
    Ostafe, Alina
    Shparlinski, Igor E.
    Sombra, Martin
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (05) : 2015 - 2025
  • [36] Nonvanishing of the partition function modulo small primes
    Boylan, Matthew
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006, 2006
  • [37] The residue of p(N) modulo small primes
    Ono, K
    RAMANUJAN JOURNAL, 1998, 2 (1-2): : 47 - 54
  • [38] Quadratic residues and quartic residues modulo primes
    Sun, Zhi-Wei
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2020, 16 (08) : 1833 - 1858
  • [39] On polynomials with roots modulo almost all primes
    Elsholtz, Christian
    Klahn, Benjamin
    Technau, Marc
    ACTA ARITHMETICA, 2022, : 251 - 263
  • [40] SOLVABILITY OF A SYSTEM OF POLYNOMIAL EQUATIONS MODULO PRIMES
    Jarviniemi, Olli
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2022, 106 (03) : 404 - 407