Non-trivial zeros of the Riemann zeta-function and joint universality theorems

DOI10.1016/j.jmaa.2019.02.047zbMath1446.11162OpenAlexW2913457624WikidataQ128410407 ScholiaQ128410407MaRDI QIDQ2633742

Antanas Laurinčikas

Publication date: 10 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.02.047

zbMATH Keywords

Riemann zeta-functionHurwitz zeta-functionuniversalityMergelyan theoremMishou theorem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Hurwitz and Lerch zeta functions (11M35) Turán theory (11N30)

Related Items (6)

On discrete universality in the Selberg-Steuding class ⋮ JOINT DISCRETE APPROXIMATION OF ANALYTIC FUNCTIONS BY HURWITZ ZETA-FUNCTIONS ⋮ Joint universality of periodic zeta-functions with multiplicative coefficients. II ⋮ JOINT DISCRETE APPROXIMATION OF A PAIR OF ANALYTIC FUNCTIONS BY PERIODIC ZETA-FUNCTIONS ⋮ A WEIGHTED VERSION OF THE MISHOU THEOREM ⋮ UNIVERSALITY OF ZETA-FUNCTIONS OF CUSP FORMS AND NON-TRIVIAL ZEROS OF THE RIEMANN ZETA-FUNCTION

Cites Work

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• The discrete universality of the periodic Hurwitz zeta function
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