International Journal of Mathematics and Mathematical Sciences 
Volume 29 (2002), Issue 6, Pages 325-331
doi:10.1155/S0161171202007573

Differences between powers of a primitive root

Marian Vâjâitu1 and Alexandru Zaharescu1,2

 1Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 70700, Romania
2Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 W. Green Street, Urbana 61801, IL, USA
Received 14 May 2001

Abstract

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