Computations with Modular Forms

Proceedings of a Summer School and Conference, Heidelberg, August/September 2011


ISBN: 978-3-319-03846-9 (Print) 978-3-319-03847-6 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-XII

  2. Summer School

    1. Front Matter

      Pages 1-1

    2. Chapter

      Pages 3-45

      Lectures on Computing Cohomology of Arithmetic Groups

    3. Chapter

      Pages 47-68

      Computing with Algebraic Automorphic Forms

    4. Chapter

      Pages 69-105

      Overconvergent Modular Symbols

  3. Conference and Research Contributions

    1. Front Matter

      Pages 107-107

    2. Chapter

      Pages 109-127

      Congruence Subgroups, Cusps and Manin Symbols over Number Fields

    3. Chapter

      Pages 129-146

      Computing Weight One Modular Forms over \(\mathbb{C}\) and \(\overline{\mathbb{F}}_{p}\)

    4. Chapter

      Pages 147-179

      Lattice Methods for Algebraic Modular Forms on Classical Groups

    5. Chapter

      Pages 181-200

      Efficient Computation of Rankin p-Adic L-Functions

    6. Chapter

      Pages 201-224

      Formes modulaires modulo 2 et composantes réelles de jacobiennes modulaires

    7. Chapter

      Pages 225-256

      Universal Hecke L-Series Associated with Cuspidal Eigenforms over Imaginary Quadratic Fields

    8. Chapter

      Pages 257-277

      On Higher Congruences Between Cusp Forms and Eisenstein Series

    9. Chapter

      Pages 279-315

      Arithmetic Aspects of Bianchi Groups

    10. Chapter

      Pages 317-329

      A Possible Generalization of Maeda’s Conjecture

    11. Chapter

      Pages 331-361

      Computing Power Series Expansions of Modular Forms

    12. Chapter

      Pages 363-376

      Computing Modular Forms for GL2 over Certain Number Fields