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1.
61 p, 630.2 KB Bandlimited approximations and estimates for the Riemann zeta-function / Carneiro, Emanuel (The Abdus Salam International Centre for Theoretical Physics (Trieste, Itàlia)) ; Chirre, Andrés (Instituto Nacional de Matemática Pura e Aplicada (Rio de Janeiro, Brasil)) ; Milinovich, Micah B. (University of Mississippi. Department of Mathematics)
In this paper we provide explicit upper and lower bounds for the argument of the Riemann zeta-function and its antiderivatives in the critical strip under the assumption of the Riemann hypothesis. This extends the previously known bounds for these quantities on the critical line (and sharpens the error terms in such estimates). [...]
2019 - 10.5565/PUBLMAT6321906
Publicacions matemàtiques, Vol. 63 Núm. 2 (2019) , p. 601-661 (Articles)  
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2.
11 p, 153.6 KB Effective uniform approximation by the Riemann zeta-function / Garunkštis, Ramünas (Vilnius University (Lituània). Faculty of Mathematics and Informatics) ; Laurincikas, Antanas (Vilnius University (Lituània). Faculty of Mathematics and Informatics) ; Matsumoto, Kohji (Nagoya University (Japó). Graduate School of Mathematics) ; Steuding, Jörn (Würzburg University (Alemanya). Department of Mathematics) ; Steuding, Rasa (Würzburg University (Alemanya). Department of Mathematics)
We apply an effective multidimensional Ω result of Voronin in order to obtain effective universality-type theorems for the Riemann zeta-function. We further use this approach to study approximation properties of linear combinations of derivatives of the zeta-function.
2010 - 10.5565/PUBLMAT_54110_12
Publicacions matemàtiques, V. 54 n. 1 (2010) p. 209-219  
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