摘要
Abstract
Using the Gel'fond-Baker method, we prove that if m ≥ 105r3 ,then the Diophantine e-quation ax + by = cz has only one positive integer solution (x,y,z) =(2,2,r). Let r and m be a positive even integer, (a,b,c) = ( | V(m,r) | , | U(m , r) | ,m2 + 1) ,V(m,r) +U(m,r) √-1 = (m +√-1)r.关键词
丢番图方程/Terai猜想/正整数解/Gel'fond-Baker方法Key words
Diophantine equation, Terai conjecture, positive interger solution, Gel'fond-Baker method分类
数理科学
