A. M. Gaisin, I. D. Latypov, “An estimate for the Dirichlet series with Fejér gaps on the real axis”, Sibirsk. Mat. Zh., 2004, Volume 45, Number 1,Pages <nobr>62

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An estimate for the Dirichlet series with Fejér gaps on the real axis

A. M. Gaisin^a, I. D. Latypov^b

^a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
^b Bashkir State University

Abstract: We study the growth of the sum of the entire Dirichlet series with Fejér gaps on the real axis and establish some most general unimprovable estimates.

Keywords: Dirichlet series, Fejér gaps.

UDC: 517.53

Received: 03.04.2003