Advertisement

New Forms and Old Forms

  • Xueli Wang
  • Dingyi Pei

Abstract

Let N, k positive integers, χ a character modulo N. We know that the Hecke operators T(n),(n, N) = 1 can be diagonalized simultaneously in the space S(N,k,χ). On the other hand, if f is an eigenfunction of all Hecke operators T(n), then L(s, f) has an Euler product. So we want to ask the following question: Can all Hecke operators T(n) be diagonalized simultaneously in the space S(N, k, χ).

Keywords

Positive Integer Modular Form Prime Divisor Cusp Form Multiplicative Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Science Press Beijing and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Xueli Wang
    • 1
  • Dingyi Pei
    • 2
  1. 1.Department of MathematicsSouth China Normal UniversityGuangzhouChina
  2. 2.Institute of Mathematics and Information ScienceGuangzhou UniversityGuangzhouChina

Personalised recommendations