$Z$和$N$中二元丢番图二次方程解的存在性和个数
Existence and Number of Solutions of Diophantine Quadratic Equations with Two Unknowns in $Z$ and $N$
摘要：
本文研究了一般形式为$ax^2-by^2=c$的二元二次丢番图方程在整数集（$Z$）和自然数集（$N$）中解的存在性和个数.
英文摘要：
In this short note we study the existence and number of solutions in the set of integers ($Z$) and in the set of natural numbers ($N$) of Diopahntine Equations of second degree with two variables of the general form $ax^2-by^2=c$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
