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

Xiao Jun Yang; Mahmoud Abdel-Aty; Tasawar Hayat

doi:10.2298/TSCI221106012Y

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

Xiao Jun Yang
, Mahmoud Abdel-Aty
, Tasawar Hayat

China University of Mining and Technology
Faculty of Sciences, King Abdulaziz University
Kyung Hee University
Sohag University
Zewail City of Science and Technology
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this article we suggest the entire functions associated with the L-functions attached 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.

Original language	English
Pages (from-to)	521-526
Number of pages	6
Journal	Thermal Science
Volume	27
Issue number	1
DOIs	https://doi.org/10.2298/TSCI221106012Y
State	Published - 2023
Externally published	Yes

Keywords

Fourier cosine transform
L-functions
cusp forms
diffusion equation
entire function

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10.2298/TSCI221106012Y

Cite this

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abstract = "In this article we suggest the entire functions associated with the L-functions attached 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.",

keywords = "Fourier cosine transform, L-functions, cusp forms, diffusion equation, entire function",

author = "Yang, \{Xiao Jun\} and Mahmoud Abdel-Aty and Tasawar Hayat",

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AU - Hayat, Tasawar

N1 - Publisher Copyright: © 2023 Society of Thermal Engineers of Serbia Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions

PY - 2023

Y1 - 2023

N2 - In this article we suggest the entire functions associated with the L-functions attached 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.

AB - In this article we suggest the entire functions associated with the L-functions attached 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.

KW - Fourier cosine transform

KW - L-functions

KW - cusp forms

KW - diffusion equation

KW - entire function

UR - https://www.scopus.com/pages/publications/85150281752

U2 - 10.2298/TSCI221106012Y

DO - 10.2298/TSCI221106012Y

M3 - Article

AN - SCOPUS:85150281752

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JO - Thermal Science

JF - Thermal Science

IS - 1

ER -

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

Abstract

Keywords

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