Large sieve inequalities for periods of Maass forms

Lekkas, Dimitrios and Voskou, Marios (2024) Large sieve inequalities for periods of Maass forms. Research in Number Theory, 10 (73). pp. 1-19. ISSN 2363-9555

Abstract

For Γ a Fuchsian Group of the first kind, we obtain large sieve inequalities with weights the hyperbolic periods of Maass forms of even weight. This is inspired by work of Chamizo, who proved a large sieve inequality with weights values of Maass forms of weight 0. The motivation is applications in counting problems in Γ_1\Γ/Γ_2, where Γ_1,Γ_2 are hyperbolic subgroups of Γ.

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