Year: 2024
Type: article
Abstract: For $$\Gamma $$ 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 $$\Gamma _1 \backslash \Gamma /\Gamma _2$$ Γ 1 \ Γ / Γ 2 , where $$\Gamma _1$$ Γ 1 , $$\Gamma _2$$ Γ 2 are hyperbolic subgroups of $$\Gamma $$ Γ .
Source: Research in Number Theory
Authors: Dimitrios Lekkas, Marios Voskou
Institutions: Northeastern University London, University College London
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,490
OpenAlex ID: W4401513831