THERMAL SCIENCE

International Scientific Journal

Xiao-Jun YangORCID

,

Mahmoud Abdel-Aty

,

Tasawar HayatORCID

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

ABSTRACT
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.
KEYWORDS
diffusion equation, entire function, L-functions, cusp forms, Fourier cosine transform
PAPER SUBMITTED: 2022-11-06
PAPER REVISED: 2022-12-10
PAPER ACCEPTED: 2022-12-12
PUBLISHED ONLINE: 2023-01-21
DOI REFERENCE: https://doi.org/10.2298/TSCI221106012Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE No. 1, PAGES [521 - 526]
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On the solution for the diffusion equation related to the L-functions attached to cusp forms

© 2026 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