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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 1999 Volume 260, Pages 298–316 (Mi znsl1083)
This article is cited in 1 paper

The Selberg $Z$-function. A local approach

A. I. Vinogradov

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

Abstract: A local version of the Selberg $Z$-function is used in order to extend it analitically and to prove some estimates in the critical band.

UDC: 519.2

Received: 04.06.1999


 English version: Journal of Mathematical Sciences (New York), 2002, 109:6, 2256–2271

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© Steklov Math. Inst. of RAS, 2024