On Approximation by an Absolutely Convergent Integral Related to the Mellin Transform-Reference-Cited by-同舟云学术

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On Approximation by an Absolutely Convergent Integral Related to the Mellin Transform

Published:2023-08-14 Issue:8 Volume:12 Page:789
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Laurinčikas Antanas¹^ORCID

Affiliation:

1. Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, LT-03225 Vilnius, Lithuania

Abstract

In this paper, we consider the modified Mellin transform of the product of the square of the Riemann zeta function and the exponentially decreasing function, and we discuss its probabilistic and approximation properties. It turns out that this Mellin transform approximates the identical zero in the strip {s∈C:1/2<σ<1}.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/8/789/pdf

Reference20 articles.

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3. Elizalde, E. (2021). Zeta-functions and the cosmos—A basic brief review. Universe, 7.

4. Prime numbers, atomic nuclei, symmetries and superconductivity;Maino;AIP Conf. Proc.,2019

5. Quantization of the Riemann zeta-function and cosmology;Volovich;Int. J. Geom. Methods Mod. Phys.,2007

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