On the Diophantine Equation x^2-kxy+y^2+lx=0  

作　　者：Yongzhong HU Maohua LE 

机构地区：[1]Department of Mathematics,Foshan University [2]Institute of Mathematics,Zhanjiang Normal College

出　　处：《Chinese Annals of Mathematics,Series B》2013年第5期715-718,共4页数学年刊（B辑英文版）

基　　金：the National Natural Science Foundation of China(No.10971184)

摘　　要：Let l be a given nonzero integer. The authors give an explicit characterization of the positive integer k that makes the Diophantine equation x2 - kxy ＋ y2 ＋ 1x = 0 have infinitely many positive integer solutions （x, y）.

关 键 词：Quadratic Diophantine equation SOLVABILITY Counting solutions 

分 类 号：O156.7[理学—数学] O15[理学—基础数学]