摘要
本文证明了当Ｄ（ｍｏｄ１２）且Ｄ为不超过６个不同的奇素数之积时，除了Ｄ为３×５×７×１１×１７×５７７及１７×１９×２９×４１×５９×５７７外，题中不定方程组仅有平凡解ｚ＝０；当Ｄ≡—１（ｍｏｄ１２）且Ｄ为不超过３个不同的奇素数之积时，除了Ｄ＝７×５，２９×４１×２３９外，题中不定方程组仅有平凡解ｚ＝０．
In this paper,the following conclusions are proved:If D(mod12)and D>0 is an odd squarefree integer which has at most six distinct prime factors,if D≡ 1(mod12) and D>0 is an odd squarefree integer which has at most three distinct prime factors,then the equations in title has only a trivial solution z=0,with the excep-tions that D=7*5,29*41*239,3*5*7*11*17*577,17*19*29*41*59*577.
出处
《北京大学学报（自然科学版）》
CAS
CSCD
北大核心
1994年第3期298-302,共5页
Acta Scientiarum Naturalium Universitatis Pekinensis
基金
国家博士后基金
