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Lehmer -tuples
Authors:Emre Alkan  Florin Stan  Alexandru Zaharescu
Institution:Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, Illinois 61801 ; Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 70700 Bucharest, Romania -- and -- Department of Mathematics, University of Illinois at Urbana- Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, Illinois 61801 ; Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 70700 Bucharest, Romania -- and -- Department of Mathematics, University of Illinois at Urbana- Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, Illinois 61801
Abstract:Generalizing a classical problem of Lehmer, in this paper we provide an asymptotic result for the number of Lehmer $ k$-tuples.

Keywords:Lehmer numbers  uniform distribution  Hyper-Kloosterman sums
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