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

被引：2

作者：

Yang, Xiao-Jun ^{[1
,2
,3
,4
]}

Cui, Ping ^{[5
]}

Xu, Feng ^{[6
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou, Peoples R China

[2] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou, Peoples R China

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia

[4] Kyung Hee Univ, Coll Sci, Dept Math, Seoul, South Korea

[5] Qujing Normal Univ, Sch Math & Stat, Qujing, Yunnan, Peoples R China

[6] Suzhou Vocat Univ, Business Sch, Suzhou, Jiangsu, Peoples R China

来源：

THERMAL SCIENCE | 2023年 / 27卷 / 1B期

关键词：

heat equation; solution; Hasse-Weil L-function; elliptic curves; entire functions; number theory;

D O I：

10.2298/TSCI220807001Y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：439 / 446

页数：8

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