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Estimates for complete exponential sums of special types

Published online by Cambridge University Press:  26 October 2001

HONG BING YU
Affiliation:
Department of Mathematics, University of Science and Technology of China, Hefei, 230026, Anhui, P.R. China. e-mail: yuhb@ustc.edu.cn

Abstract

This paper is concerned with the exponential sums

(formula here)

and with Heilbronn's type exponential sums

(formula here)

where (and below) p is prime, m, n, a and b are integers with m > n > 0 and p [nmid ] ab, and er(x) = exp(2πix/r) as usual.

Type
Research Article
Copyright
2001 Cambridge Philosophical Society

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