TY - JOUR TI - Special solutions for the Laplace and diffusion equations associated with the algebraic number field AU - Yang Xiao-Jun AU - Sweilam Nasser Hassan AU - Bayram Mustafa JN - Thermal Science PY - 2023 VL - 27 IS - 1 SP - 477 EP - 481 PT - Article AB - This article is devoted to the even entire functions, which are the exact solutions for the Laplace and diffusion equations. These functions are considered in the algebraic number field. We guess that the functions have purely real zeros in the entire complex plane. These are proposed as new connections with algebraic number theory and mathematical physics.