On the Generalization of Lehmer Problem and High-Dimension Kloosterman Sums

For any fixed integer k≥2 and integer r with r, p=1, it is clear that there exist k integers 1≤ai≤p-1 i=1, 2, …, k such that a1a2⋯ak≡r mod p. Let N(k,r;p) denote the number of all a1, a2, ⋯ak such that a1a2⋯ak≡r mod p and 2†a1+a2+⋯ + ak. In this paper, we will use the analytic method and the estimat...

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Bibliographic Details
Main Authors: Guohui Chen, Han Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/726053
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