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

Izv. Saratov Univ. Math. Mech. Inform., 2007 Volume 7, Issue 1, Pages 13–15 (Mi isu137)

Mathematics

About Dirichle's rows whith finite-valued multiplicative coefficients, satisfy the Riman's type functional equation coefficients, satisfy the Riman's type functional equation

V. V. Krivobok

Saratov State University

Abstract: In this paper the class of absolutely convergent on the half-plane $\sigma>1$ Dirichlet series with multiplicative finite-valued coefficients is considered. We prove that only Dirichlet $L$-functions are solutions of a functional Riemann type equation.

UDC: 511.3

DOI: 10.18500/1816-9791-2007-7-1-13-15



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