Type: Article

Asymptotics for the sum of powers of distances between power residues modulo a prime

Garaev, M. Z.; Konyagin, S. V.; Malykhin, Yu V.;

Abstract:

For fixed q a (0, 4), prime p -> a, and d <= exp(c root ln p), where c > 0 is a constant, we obtain the asymptotics for the sum of qth powers of distances between neighboring residues of degree d modulo p