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
Institute of Mathematics, Academia Sinica, Taipei, 11529, Nankang, Taiwan
Received 18 June 2002
Copyright © 2003 M. Z. Garaev and Ka-Lam Kueh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.