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Bounds for certain character sums

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2 Author(s)
Jin Yang ; Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China ; Zhiyong Zheng

This paper shows a connection between exponential sums and character sums. In particular, we introduce a character sum that is an analog of the classical Kloosterman sums and establish the analogous Weil-Estermann's upper bound for it. The paper also analyzes a generalized Hardy-Littlewood example for character sums, which shows that the upper bounds given here are the best possible. The analysis makes use of local bounds for the exponential sums and character sums. The basic theorems have been previously established.

Published in:

Tsinghua Science and Technology  (Volume:8 ,  Issue: 5 )