Analyse numérique d’un problème de valeurs propres à haute precision. Application aux fonctions automorphes. (French) Zbl 0491.10018

Cartier, P.

Mathematiques appliquees, 1er Colloq. AFCET-SMF, Palaiseau 1978, Tome III, 3-25 (1978).

MSC:

11F03	Modular and automorphic functions
11M06	\(\zeta (s)\) and \(L(s, \chi)\)
11F70	Representation-theoretic methods; automorphic representations over local and global fields
65N25	Numerical methods for eigenvalue problems for boundary value problems involving PDEs
65Z05	Applications to the sciences
35P99	Spectral theory and eigenvalue problems for partial differential equations

Keywords:

comparison of zeros; Riemann zeta-function; Selberg zeta-function; Maass wave forms; numerical calculation of eigenvalues of Laplace-Beltrami operator

Citations:

Zbl 0477.00003; Zbl 0401.10036; Zbl 0457.10009; Zbl 0236.65069