Eigenvalues of the Laplacian for Hecke triangle groups /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hejhal, Dennis A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island, United States : American Mathematical Society, 1992.
Colección:Memoirs of the American Mathematical Society ; Volume 97, no. 469.
Temas:
Selberg trace formula.
Automorphic functions.
Eigenvalues.
Laplacian operator.
Formule de trace de Selberg.
Fonctions automorphes.
Valeurs propres.
Laplacien.
Automorphic functions
Eigenvalues
Laplacian operator
Selberg trace formula
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Table of Contents
  • 0. Foreword
  • I. Eigenvalues of the Laplacian for Hecke Triangle Groups
  • 1. Introduction and preliminary remarks
  • 2. The procedure in a nutshell
  • 3. Some theoretical difficulties
  • 4. Coefficient relations for N = 4 and 6
  • 5. Odd eigenvalues for N = 4, 5, 6, 7
  • 6. Even eigenvalues for N = 4, 5, 6, 7
  • 7. Some examples
  • 8. Some remarks about pseudo cusp forms
  • 9. Concluding remarks
  • References
  • Appendix A
  • II. (Reprint of) Eigenvalues of the Laplacian for PSL(2,Z): Some New Results and Computational Techniques
  • 1. Introduction2. The basic procedure
  • 3. Some informal remarks concerning implementation of the basic procedure
  • 4. Further remarks
  • 5. The even eigenvalues less than 50
  • 6. The odd eigenvalues less than 50
  • 7. Even eigenvalues around R = 125
  • 8. Even eigenvalues around R = 250
  • 9. Even eigenvalues around R = 500
  • 10. Gaining greater accuracy
  • 11. Concluding remarks
  • References
  • Appendix B

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