Mathematical Proceedings of the Cambridge Philosophical Society



Estimates for complete exponential sums of special types


HONG BING YU a1 1
a1 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.

(Received January 4 2000)
(Revised May 9 2000)



Footnotes

1 Project supported by the National Natural Science Foundation of China.