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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
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