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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2014 Volume 15, Issue 4, Pages 139–147 (Mi cheb362)

On the periodic zeta-function

M. Stoncelis, D. Šiaučiūnas

Šiauliai University, Lithuania

Abstract: We present an universality theorem for the periodic zeta-function which is defined by a Dirichlet series with periodic coefficients satisfying a certain dependence condition. This simplifies the problem and allows to elucidate the universality of the periodic zeta-function.

Keywords: analytic function, Dirichlet series, periodic zeta-function, universality.

UDC: 519.14

Received: 12.09.2014

Language: English



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