ON THE SOLUTION FOR THE DIFFUSION EQUATION RELATED TO THE L-FUNCTIONS ATTACHED TO CUSP FORMS

被引：1
|
作者：
Yang, Xiao-Jun [1 ,2 ,3 ,4 ]
Abdel-Aty, Mahmoud [5 ]
Hayat, Tasawar [6 ,7 ]
机构：
[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou, Peoples R China
[2] China Univ Min & Technol, Sch Math, 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] Sohag Univ, Fac Sci, Math Dept, Sohag, Egypt
[6] Zewail City Sci & Technol, Ctr Photon & Smart Mat CPSM, Zewail, Egypt
[7] Quaid i Azam Univ, Dept Math, Islamabad, Pakistan
来源：
THERMAL SCIENCE | 2023年 / 27卷 / 1B期
关键词：
diffusion equation; entire function; L-functions; cusp forms; Fourier cosine transform;
D O I：
10.2298/TSCI221106012Y
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this article we suggest the entire functions associated with the L-functions at-tached to cusp forms. The entire function defined by the Fourier cosine transform is the solution for the diffusion equation in 1-D case. We propose three conjectures for the zeros of three entire functions of order one via theory of entire functions.
引用
收藏
页码：521 / 526
页数：6
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