# zbMATH — the first resource for mathematics

On the distribution of values of symmetric square $$L$$-functions at 1. (English) Zbl 0969.11018
Summary: We establish asymptotic formulae for all spectral moments of special values at 1 of symmetric square $$L$$-functions associated with cuspidal Hecke-Maass eigenforms on the modular group. As a consequence, these values have limit distribution. Our motivation comes from the analytic deformation theory for cusp forms à la Phillips-Sarnak.

##### MSC:
 11F67 Special values of automorphic $$L$$-series, periods of automorphic forms, cohomology, modular symbols 11F30 Fourier coefficients of automorphic forms
Full Text: