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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 134, Pages 157–168
(Mi znsl4746)
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This article is cited in 2 scientific papers (total in 2 papers)
Small eigenvalues of automorphic Laplacians in spaces of cusp forms
P. G. Zograf
Abstract:
The Yang-Yau inequality for $\lambda$, of the Laplace operator of a compact Riemann surface is adapted to the case of a Fucahian group of the first kind. For certain subgroups of the modular group $PSL(2, \mathbb Z)$ be occurenoe of cuspidal representations of complementary series in the regular representations of $PSL(2, \mathbb R)$ is proved. The degree of any non-constant meromorphic function which is automorphic with respect to a congruence subgroup $\Gamma$ of $PSL(2, \mathbb Z)$, is estimated from below in terms of index of $\Gamma$ in $PSL(2, \mathbb Z)$ only.
Citation:
P. G. Zograf, “Small eigenvalues of automorphic Laplacians in spaces of cusp forms”, Automorphic functions and number theory. Part II, Zap. Nauchn. Sem. LOMI, 134, "Nauka", Leningrad. Otdel., Leningrad, 1984, 157–168
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https://www.mathnet.ru/eng/znsl4746 https://www.mathnet.ru/eng/znsl/v134/p157
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Abstract page: | 226 | Full-text PDF : | 88 |
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