关于某一类同余式解的注记

Note on solutions of some class of congruence

同余式的解的存在性以及解数的问题是初等数论中传统而又核心问题.研究同余式xk≡a(modp)解的问题,其中p=kl+2(k,l∈N)为素数,满足(a,p)=1.给出了解存在的充分必要条件以及解数.

The solutions of congruence is a traditional and central question in number theory. Discussed the solutions of some class of congruence x^k -= a（mod p）, where p = kl ＋ 2 （ k, l ∈ N ） , （a, p） = 1. Get a sufficiency and necessity condition about the existence of solutions.