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GENERALIZED D. H. LEHMER PROBLEM OVER SHORT INTERVALS
Published online by Cambridge University Press: 13 December 2010
Abstract
Let n ≥ 2 be a fixed positive integer, q ≥ 3 and c, ℓ be integers with (nc, q)=1 and ℓ|n. Suppose and consist of consecutive integers which are coprime to q. We define the cardinality of a set: The main purpose of this paper is to use the estimates of Gauss sums and Kloosterman sums to study the asymptotic properties of N(, , c, n, ℓ; q), and to give an interesting asymptotic formula for it.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2010
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