J Austral Math Soc Ser A 46 pp423--437, 1989.

On Exponential Sums over Prime Numbers

A. Sárközy and C. L. Stewart

(Received 3 January 1987; revised 18 November 1987)

Abstract

In this article we establish an estimate for a sum over primes that is the analogue of an estimate for a sum over consecutive integers which has proved to be very useful in applications of exponential sums to problems in number theory.

1980 AMS Subject Classification (1985 Revision): 11L40

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Authors

A. Sárközy: Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-16, Budapest, H-1053, Hungary.
C. L. Stewart: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.

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