摘要
本文用广义Lucas序列的性质推广了Bender和Herzberg关于ax2＋by2=1，24pn的某些结果，并给出方程的可解性的完整结论，还给出这些结果的一些应用．
In this paper, using some properties of the generalized Lucas sequences,we extend some results of Bender and Herzberg concerning the equation ax2 + by2 =1,2,4Pn, and we obtain a complete answer to the problem of the solvability of theabove equation, and we obtain some applications of the above results to exponentialdiophantine equations.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2000年第1期83-86,共4页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金!19671060
长沙铁道学院科研基金
