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- W2892837632 abstract "We extend the region of convergence of Euler products of Selberg zeta functions beyond the boundary $$Re (s) = 1$$ for congruence subgroups of $${{,mathrm{SL},}}_{2}(mathbb {Z})$$ if they are associated with nontrivial irreducible unitary representations. The region depends on the size of the lowest eigenvalue of the Laplacian and extends to $$Re (s) geqslant 3/4$$ under the Selberg eigenvalue conjecture. The method is based on the ideas of Ramanujan. For any unitary representation, we also establish a relation between the asymptotic behaviour of partial Euler products and the error term in the prime geodesic theorem." @default.
- W2892837632 created "2018-10-05" @default.
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- W2892837632 date "2022-02-17" @default.
- W2892837632 modified "2023-10-05" @default.
- W2892837632 title "Euler products of Selberg zeta functions in the critical strip" @default.
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- W2892837632 doi "https://doi.org/10.1007/s11139-022-00550-y" @default.
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