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 Ufimsk. Mat. Zh., 2009, Volume 1, Issue 4, Pages 58–66 (Mi ufa31)

Classes of Dirichlet Series with Real Coefficients Defined by Convex Majorants of a Growth

A. M. Gaisin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: Behaviour of Dirichlet series with real coefficients the growth of which is bounded by certain convex majorant is learned here. Asymptotic estimate on positive ray outside of certain zero density set has been obtained.

Keywords: Dirichlet series, the convex majorant of a growth.

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UDC: 517.537.7

Citation: A. M. Gaisin, “Classes of Dirichlet Series with Real Coefficients Defined by Convex Majorants of a Growth”, Ufimsk. Mat. Zh., 1:4 (2009), 58–66

Citation in format AMSBIB
\Bibitem{Gai09} \by A.~M.~Gaisin \paper Classes of Dirichlet Series with Real Coefficients Defined by Convex Majorants of a Growth \jour Ufimsk. Mat. Zh. \yr 2009 \vol 1 \issue 4 \pages 58--66 \mathnet{http://mi.mathnet.ru/ufa31} \zmath{https://zbmath.org/?q=an:05972407} 

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This publication is cited in the following articles:
1. Yu. N. Drozhzhinov, B. I. Zavialov, “Generalized functions asymptotically homogeneous with respect to one–parametric group at origin”, Ufa Math. J., 5:1 (2013), 17–35
2. S. Baizaev, M. A. Rakhimova, “Some functional equations in Schwartz space and their applications”, Ufa Math. J., 10:1 (2018), 3–13
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