Exotic approximate identities and Maass forms

• Autorzy: Fernando Chamizo , Dulcinea Raboso , Serafín Ruiz-Cabello
• Języki publikacji: EN

Abstrakty

EN

We obtain some approximate identities whose accuracy depends on the bottom of the discrete spectrum of the Laplace-Beltrami operator in the automorphic setting and on the symmetries of the corresponding Maass wave forms. From the geometric point of view, the underlying Riemann surfaces are classical modular curves and Shimura curves.

Kategorie tematyczne

• 11F72: Spectral theory; Selberg trace formula
• 33F05: Numerical approximation and evaluation
• 11N75: Applications of automorphic functions and forms to multiplicative problems
• 41A80: Remainders in approximation formulas

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 159
• Numer: 1
• Strony: 27-46

Daty

wydano

2013

Twórcy

autor

Fernando Chamizo

• Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain

autor

Dulcinea Raboso

• Departamento de Matemáticas, Universidad Autónoma de Madrid
• ICMAT CSIC-UAM-UCM-UC3M, 28049 Madrid, Spain

autor

Serafín Ruiz-Cabello

• Universidad Autónoma de Madrid, 28049 Madrid, Spain

Identyfikatory

DOI

10.4064/aa159-1-2