On the traces of Hecke operators

被引:3
|
作者
Arenas, A [1 ]
机构
[1] Univ Barcelona, Dept Algebra & Geometr, E-08007 Barcelona, Spain
关键词
cusp forms; Hecke operators; trace formula;
D O I
10.1016/S0022-314X(03)00014-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
From Eichler's results on traces of Hecke operators and making essential use of the theory of Atkin-Lehner on newforms, we derive in a simple manner an equality between the traces of Hecke operators acting on different spaces of cusp forms. (C) 2003 Elsevier Science (USA). All rights reserved.
引用
收藏
页码:307 / 312
页数:6
相关论文
共 50 条
  • [31] Orthogonality and Hecke operators
    Kohnen, Winfried
    Weiss, Christian
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2009, 119 (03): : 283 - 286
  • [32] ON THE EIGENVALUES OF HECKE OPERATORS
    KAMIENNY, S
    COMMUNICATIONS IN ALGEBRA, 1995, 23 (03) : 995 - 998
  • [33] On graphs of Hecke operators
    Alvarenga, Roberto
    JOURNAL OF NUMBER THEORY, 2019, 199 : 192 - 228
  • [34] TRACE OF HECKE OPERATORS
    MAUTNER, FI
    MONATSHEFTE FUR MATHEMATIK, 1968, 72 (02): : 137 - &
  • [35] EIGENFUNCTIONS OF HECKE OPERATORS
    MAUTNER, FI
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 269 (20): : 940 - &
  • [36] Hecke relations for traces of singular moduli
    Ahlgren, Scott
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2012, 44 : 99 - 105
  • [37] LLT Polynomials and Hecke Algebra Traces
    Morales, Alejandro H.
    Skandera, Mark A.
    Wang, Jiayuan
    ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2024, (403):
  • [38] Weights of Markov traces on Hecke algebras
    Orellana, RC
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1999, 508 : 157 - 178
  • [39] TRACE FORMULA FOR HECKE OPERATORS
    ISHIKAWA, H
    JOURNAL OF THE FACULTY OF SCIENCE UNIVERSITY OF TOKYO SECTION 1-MATHEMATICS ASTRONOMY PHYSICS CHEMISTRY, 1973, 20 (02): : 217 - 238
  • [40] HECKE OPERATORS ON GAMMAO(M)
    ATKIN, AOL
    LEHNER, J
    MATHEMATISCHE ANNALEN, 1970, 185 (02) : 134 - &