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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. 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

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.

UDC: 512.5

Received: 18.01.2003


 English version: Journal of Mathematical Sciences (New York), 2005, 130:3, 4665–4674

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© Steklov Math. Inst. of RAS, 2025