On Joint Universality of the Riemann Zeta-Function

A theorem is obtained on the approximation of a collection of analytic functions in short intervals by a collection of shifts of the Riemann zeta-function , where are algebraic numbers linearly independent over the field of rational numbers.

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Veröffentlicht in:Mathematical Notes 2021-07, Vol.110 (1-2), p.210-220
1. Verfasser: Laurinčikas, A.
Format: Artikel
Sprache:eng
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Zusammenfassung:A theorem is obtained on the approximation of a collection of analytic functions in short intervals by a collection of shifts of the Riemann zeta-function , where are algebraic numbers linearly independent over the field of rational numbers.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434621070221