二元对角型同余式的解数公式

THE NUMBER OF SOLUTIONS OF CERTAIN DIAGONAL CONGRUENCES IN 2 VARIABLES

设ｐ 是素数，ａ，ｂ，ｎ 是正整数，α，β是与ｐ 互素的整数．本文给出了二元对角型同余式αｘａ ＝ βｙｂ（ｍ ｏｄ ｐｎ） 的解数的直接公式．

Let p be a prime and a,b,n positive integers.Let α,β be integers prime to p .The explicit formula of the number of solutions of congruence αx a≡βy b (mod p n ) was given.