On Number of Sohtions of Congruence Σsum from j=1 to n ajxjdj≡b（mod pl）

Abstract:

      Let N_p^l(b)be the number of solutions of congruence Σsum from j=1 to n a_jx_j^d_j≡b（mod p^l） where p is an odd prime,p|ba₁…a_n,d_j|p-1,d_j>1,j=1,…,n.In this note,we give an estimate for N_p^l(b)