THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Xiao-Jun Yang

,

Ping Cui

,

Feng Xu

NOVEL SOLUTIONS FOR THE HEAT EQUATIONS ARISING IN THE ELLIPTIC CURVES OVER THE FIELD OF RATIONAL NUMBERS

ABSTRACT
In this article we consider the solutions of the heat equations with use of the elliptic curves over the field of rational numbers. We propose the entire functions associated with the Hasse-Weil L-function. We show the conjectures that new functions have only real zeros in the entire function plane. The obtained results are proposed as new tool to describe the complex behaviors of the heat problems as well as number theory.
KEYWORDS
heat equation, solution, Hasse-Weil L-function, elliptic curves, entire functions, number theory
PAPER SUBMITTED: 2022-08-07
PAPER REVISED: 2022-11-12
PAPER ACCEPTED: 2022-11-22
PUBLISHED ONLINE: 2023-01-21
DOI REFERENCE: https://doi.org/10.2298/TSCI220807001Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 1, PAGES [439 - 446]
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Novel solutions for the heat equations arising in the elliptic curves over the field of rational numbers

© 2024 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