【摘要】 把Strmer定理推广到丢番图方程kx~2-ly~2=2和kx~2-ly~2=4上,得到了与之类似的结论,并应用于不定方程(ax~n±2)/(ax±2)=y~2和(ax~n±4)/(ax±4)=y~2上,给出了它们有解的充分必要条件.更多还原

【Abstract】 This paper extends Stormer Theorem to Diophantine equations kx2-ly2=2 and kx2-ly2= 4, and get similer results. Also, we apply these results to Diophantine equations (ax±2/ax ±2)=y2 and (axn±4/ax±4)=y2, and give necessary and sufficient conditions of which they exeit solutions.更多还原