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

页码：521 / 526

页数：6

共 41 条

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INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (04) : 1099 - 1105
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