不定同余方程x^(2n)+(x+1)^(2n)+…+(x+h)^(2n)≡(x+h+1)^(2n)(mod11)的解(Ⅱ)

The Solutions of Diophantine Congruence Equation x^(2n)+(x+1)^(2n)+ +(x+h)^(2n)=(x+h+1)^(2n)(mod 11) (II)

本文证明了:不定同余方程x^(2n)+(x+1)^(2n)+…+(x+h)^(2n)≡(x+h+1)^(2n)(mod11)有整数解的充分必要条件是:(1)若n≡3(mod5),则h(?)3,5,7(mod11);(2)若n≡4(mod5),则h(?)6(mod11)。

In this paper, we prove the Diophantine congruence equation there are integer solutions if and only if