TY - JOUR
TI - Novel solutions for the heat equations arising in the elliptic curves over the field of rational numbers
AU - Yang Xiao-Jun
AU - Cui Ping
AU - Xu Feng
JN - Thermal Science
PY - 2023
VL - 27
IS - 1
SP - 439
EP - 446
PT - Article
AB - In this article we consider the solutions of the heat equations with use of the elliptic curves over the field of rational numbers. We propose the entire functions associated with the Hasse-Weil L-function. We show the conjectures that new functions have only real zeros in the entire function plane. The obtained results are proposed as new tool to describe the complex behaviors of the heat problems as well as number theory.