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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1996 Volume 228, Pages 67–76 (Mi znsl3694)

This article is cited in 1 paper

Comparison of spectra

A. I. Vinogradov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The Selberg conjecture concerning the absence of small eigenvalues in the spectrum of congruence group is proved by the comparison of two different spectral expansions for one and the same arithmetic convolution averaged by a shift. Bibl. 6 titles.

UDC: 511.334+512.754

Received: 20.04.1996


 English version:
Journal of Mathematical Sciences (New York), 1999, 93:3, 294–300

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