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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 305, Pages 44–59 (Mi znsl861)  
H. Weyl asymptotics and Rankin convolutions

A. I. Vinogradov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: Well-known H. Weyl asymptotics for eigenvalues is obtained by the arithmetic method. For congruence groups, the remainder in this asymptotics is a square root of the principal term.
Received: 18.01.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 130, Issue 3, Pages 4665–4674
DOI: https://doi.org/10.1007/s10958-005-0361-2
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: A. I. Vinogradov, “H. Weyl asymptotics and Rankin convolutions”, Problems in the theory of representations of algebras and groups. Part 10, Zap. Nauchn. Sem. POMI, 305, POMI, St. Petersburg, 2003, 44–59; J. Math. Sci. (N. Y.), 130:3 (2005), 4665–4674
Citation in format AMSBIB
\Bibitem{Vin03}
\by A.~I.~Vinogradov
\paper H.~Weyl asymptotics and Rankin convolutions
\inbook Problems in the theory of representations of algebras and groups. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 305
\pages 44--59
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl861}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2033613}
\zmath{https://zbmath.org/?q=an:1140.11334}
\elib{https://elibrary.ru/item.asp?id=13499265}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 130
\issue 3
\pages 4665--4674
\crossref{https://doi.org/10.1007/s10958-005-0361-2}
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