Let p ≡ 2（mod 3） be an odd prime and α be a positive integer. In this paper,for any integer c, we obtain a formula for the number of solutions of the cubic congruence x^3＋ y^3≡ c（mod p~α） with x, y units, non...Let p ≡ 2（mod 3） be an odd prime and α be a positive integer. In this paper,for any integer c, we obtain a formula for the number of solutions of the cubic congruence x^3＋ y^3≡ c（mod p~α） with x, y units, nonunits and mixed pairs, respectively. We resolve a problem posed by Yang and Tang.展开更多
基金Supported by the Research Culture Fundation of Anhui Normal University(Grant No.2014xmpy11)the National Natural Science Foundation of China(Grant No.11471017)
文摘Let p ≡ 2（mod 3） be an odd prime and α be a positive integer. In this paper,for any integer c, we obtain a formula for the number of solutions of the cubic congruence x^3＋ y^3≡ c（mod p~α） with x, y units, nonunits and mixed pairs, respectively. We resolve a problem posed by Yang and Tang.
