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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2008 Volume 83, Issue 1, Pages 69–76 (Mi mzm3774)
This article is cited in 5 papers

Functional Independence of Periodic Hurwitz Zeta Functions

A. P. Laurincikas

Vilnius University

Abstract: We prove functional independence and joint functional independence for a set of Hurwitz zeta functions with periodic coefficients and parameters algebraically independent over the field of rational numbers.

Keywords: periodic Hurwitz zeta function, meromorphic function, functional independence, Dirichlet character, Dirichlet $L$-function, Dedekind zeta function, algebraically independent members.

UDC: 511

Received: 25.12.2006

DOI: 10.4213/mzm3774


 English version: Mathematical Notes, 2008, 83:1, 65–71

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© Steklov Math. Inst. of RAS, 2024