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ON THE CONSECUTIVE POWERS OF A PRIMITIVE ROOT: GAPS AND EXPONENTIAL SUMS

Published online by Cambridge University Press:  08 November 2011

Sergei V. Konyagin
Affiliation:
Steklov Mathematical Institute, 8 Gubkin Street, Moscow, 119991, Russia (email: konyagin23@gmail.com)
Igor E. Shparlinski
Affiliation:
Department of Computing, Macquarie University, Sydney, NSW 2109, Australia (email: igor.shparlinski@mq.edu.au)
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Abstract

For a primitive root g modulo a prime p≥1 we obtain upper bounds on the gaps between the residues modulo p of the N consecutive powers agn, n=1,…,N, which is uniform over all integers a with gcd (a,p)=1.

Type
Research Article
Copyright
Copyright © University College London 2012

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