GENERALIZED D. H. LEHMER PROBLEM OVER SHORT INTERVALS
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 293-299

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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.
DOI : 10.1017/S0017089510000704
Mots-clés : Primary 11A07, 11N37, Secondary 11L05
XI, PING; YI, YUAN. GENERALIZED D. H. LEHMER PROBLEM OVER SHORT INTERVALS. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 293-299. doi: 10.1017/S0017089510000704
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