The method for the heat-diffusion equation in analytic number theory-Reference-Cited by-同舟云学术

The method for the heat-diffusion equation in analytic number theory

Published:2023 Issue:5 Part A Volume:27 Page:3837-3844
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Yang Xiao-Jun¹,Alshehri Ahmed²,Cui Ping³

Affiliation:

1. State Key Laboratory for Geo-Mechanics and Deep Underground Engineering, and School of Mathematics, China University of Mining and Technology, Xuzhou, China + Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia + Department of Mathematics, College of Science, Kyung Hee University, Seoul, Republic of Korea

2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

3. School of Mathematics and Statistics, Qujing Normal University, Qujing, China

Abstract

This paper addresses the entire functions via theory of the tempered xi function. The zeros of the entire functions by the Fourier sine and cosine integrals are stud?ied in detail. The method for the heat-diffusion equation is proposed to structure the connection between Fourier analysis and heat-diffusion equation show the open problems in analytic number theory.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference9 articles.

1. Yang, X. J., On a Tempered Xi Function Associated with the Riemann Xi Function, Fractals, On-line first, https://doi.org/10.1142/S0218348X23401163, 2023

2. ***, https://www.worldscientific.com/pb-assets/wspcsite/journals/fractals-challenge-1685316817370.pdf

3. Yang, X. J., A New Program for the Entire Functions in Number Theory, Fractals, On-line first, https:// doi.org:10.1142/S0218348X23401229, 2023

4. Yang, X. J., et al., A New Odd Entire Function of Order One Arising in the Heat Problem, Thermal Science, 27 (2023), 1B, pp. 505-512

5. Riemann, B., Ueber die Anzahl der Primzahlen unter einer gegebenen Grosse (in German), Monatsberichte der Berliner Akademie, Berlin, Germany, 1859, pp. 671-680