SU\G(𝔸)/KΒ·U

Explicit formula for the spectral counting function of the Laplace operator on a compact Riemannian surface of genus g > 1

Π”ΠΌΠΈΡ‚Ρ€ΠΈΠΉ АлСксандрович Попов

Type: Article

Publication Date: 2012-04-01

Citations: 3

DOI: https://doi.org/10.1007/s10688-012-0019-z

Locations

  • Functional Analysis and Its Applications - View

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+ Spectrum of the Laplace operator on closed surfaces 2022 Π”.А. Попов
+ On the Selberg trace formula for strictly hyperbolic groups 2013 Π”ΠΌΠΈΡ‚Ρ€ΠΈΠΉ АлСксандрович Попов

Works Cited by This (17)

Action Title Year Authors
+ Riemann's Zeta Function 1974 Harold M. Edwards
+ PDF Chat The Distribution of Prime Numbers 1933 A. E. Ingham
+ Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories 1995 Yu. I. Manin
Alexei Panchishkin
+ Statistical properties of the spectra of Laplace-Beltrami operators on Liouville surfaces 1993 Denis V. Kosygin
A A Minasov
Yakov G. Sinai
+ <i>Integrals and Series</i> 1988 A. P. Prudnikov
Yu. A. Brychkov
O. I. Marichev
Robert H. Romer
+ A Dirichlet Series of Eigenvalue Type with Applications to Asymptotic Estimates 1981 Burton Randol
+ The Selberg trace formula and the Riemann zeta function 1976 Dennis A. Hejhal
+ PDF Chat Number variance for arithmetic hyperbolic surfaces 1994 Wenzhi Luo
Peter Sarnak
+ Asymptotic behaviour of the spectral function of the Laplace-Beltrami operator for cocompact discrete subgroups of SL{sub 2}(R) 1998 V V Golovchanskii
+ SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS 1979 Alexei B. Venkov