|
The Solutions of Diophantine Congruence Equation x2n+(x+1)2n+…+(x+h)2n≡(x+h+1)2n(mod 17) (I)
Zou Zhaonan, Chen Julin
1993, 12(4):
109-116.
In this paper, we have proved that for the diophantinc congruence equation x2n+(x+1)2n+…+(x+h)2n≡(x+h+1)2n (mod 17) there arc integer solutions if and only if (1) when n=1 (mod8), then h≢3, 4, 5, 6, 10, 11, 13 (mod 17); (2) when n≡2 (mod8), then h≢3, 4, 8, 9, 10, 14 (mod 17); (3) when n≡3 (mod8), then h≢6, 10, 11 (mod 17).
Related Articles |
Metrics
|