Advertisement

Hecke Operators

  • Fred Diamond
  • Jerry Shurman
Part of the Graduate Texts in Mathematics book series (GTM, volume 228)

Abstract

This chapter addresses the question of finding a canonical basis for the space of cusp forms \(\mathcal{S}_\textit{k}(\Gamma_1(N))\). Since cusp forms are not easy to write explicitly like Eisenstein series, specifying a basis requires more sophisticated methods than the direct calculations of the preceding chapter.

Keywords

Modular Form Fourier Expansion Eisenstein Series Cusp Form Congruence Subgroup 
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

© Springer Science+Business Media New York 2005

Authors and Affiliations

  • Fred Diamond
    • 1
  • Jerry Shurman
    • 2
  1. 1.Department of MathematicsKing’s College London StrandLondonUK
  2. 2.Department of MathematicsReed CollegePortlandUSA

Personalised recommendations