Title Approximation by shifts of compositions of Dirichlet L-functions with the Gram function /
Authors Dubickas, Artūras ; Garunkštis, Ramūnas ; Laurinčikas, Antanas
DOI 10.3390/math8050751
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Is Part of Mathematics.. Basel : MDPI. 2020, vol. 8, iss. 5, art. no. 751, p. [1-14].. ISSN 2227-7390
Keywords [eng] Dirichlet L-function ; Gram function ; joint universality
Abstract [eng] In this paper, a joint approximation of analytic functions by shifts of Dirichlet L-functions L(s+ia1tτ,χ1),…,L(s+iartτ,χr) , where a1,…,ar are non-zero real algebraic numbers linearly independent over the field Q and tτ is the Gram function, is considered. It is proved that the set of their shifts has a positive lower density.
Published Basel : MDPI
Type Journal article
Language English
Publication date 2020
CC license CC license description