The Joint Discrete Universality of Periodic Zeta-Functions

Antanas Laurinčikas ()
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Antanas Laurinčikas: Vilnius University, Department of Mathematics and Informatics

A chapter in From Arithmetic to Zeta-Functions, 2016, pp 231-246 from Springer

Abstract: Abstract In the paper, a joint discrete universality theorem on approximation of a pair of analytic functions by shifts of periodic zeta-functions and periodic Hurwitz zeta-functions is obtained. For the proof the linear independence over $$\mathbb{Q}$$ of a certain set is used.

Keywords: Algebraically independent numbers; Joint universality; Linear independence; Periodic Hurwitz zeta-function; Periodic zeta-function; Weak convergence; Primary 11M41; Secondary 32E30 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28203-9_15

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DOI: 10.1007/978-3-319-28203-9_15

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