International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 50, Pages 3189-3194
doi:10.1155/S0161171203206074

Distribution of special sequences modulo a large prime

M. Z. Garaev and Ka-Lam Kueh

 Institute of Mathematics, Academia Sinica, Taipei, 11529, Nankang, Taiwan
Received 18 June 2002

Abstract

We study the sets {gx−gy(mod p):1≤x,y≤N} and {xy:1≤x,y≤N} where p is a large prime number, g is a primitive root, and p2/3<N<p.