THERMAL SCIENCE

International Scientific Journal

Xiao-Jun YangORCID

,

Ahmed Alshehri

,

Ping Cui

THE METHOD FOR THE HEAT-DIFFUSION EQUATION IN ANALYTIC NUMBER THEORY

ABSTRACT
This paper addresses the entire functions via theory of the tempered xi function. The zeros of the entire functions by the Fourier sine and cosine integrals are stud­ied in detail. The method for the heat-diffusion equation is proposed to structure the connection between Fourier analysis and heat-diffusion equation show the open problems in analytic number theory.
KEYWORDS
tempered xi function, Fourier analysis, heat-diffusion equation, open problems, analytic number theory
PAPER SUBMITTED: 2023-03-13
PAPER REVISED: 2023-05-14
PAPER ACCEPTED: 2023-06-19
PUBLISHED ONLINE: 2023-11-05
DOI REFERENCE: https://doi.org/10.2298/TSCI2305837Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE No. 5, PAGES [3837 - 3844]
REFERENCES
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The method for the heat-diffusion equation in analytic number theory

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence