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.
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
@article{10_1017_S0017089510000704,
author = {XI, PING and YI, YUAN},
title = {GENERALIZED {D.} {H.} {LEHMER} {PROBLEM} {OVER} {SHORT} {INTERVALS}},
journal = {Glasgow mathematical journal},
pages = {293--299},
year = {2011},
volume = {53},
number = {2},
doi = {10.1017/S0017089510000704},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000704/}
}
TY - JOUR AU - XI, PING AU - YI, YUAN TI - GENERALIZED D. H. LEHMER PROBLEM OVER SHORT INTERVALS JO - Glasgow mathematical journal PY - 2011 SP - 293 EP - 299 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000704/ DO - 10.1017/S0017089510000704 ID - 10_1017_S0017089510000704 ER -
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