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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2011 Volume 11, Issue 3(1), Pages 21–25 (Mi isu230)

This article is cited in 1 paper

Mathematics

On characterization determining entire functions and consistent with Riman's type equation Dirichlet's series with finetly-valued coefficients

V. N. Kuznetsov, O. A. Polyakova

Saratov State University, Chair of Computing Algebra and the Number Theory

Abstract: In the investigation were founded specifications for Dirichlet's series coefficients, wherein this series determine entire function and measure up functional Riman's type equation. Were shown that exist infinit multitude of such series that are different from Dirichlet's $L$-functions.

Key words: Dirichlet's series, functional equation, Dirichlet's $L$-function.

UDC: 511.3

DOI: 10.18500/1816-9791-2011-11-3-1-21-25



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