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Distinct gaps between fractional parts of sequences |
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| Authors: | Marian Vâ jâ itu Alexandru Zaharescu |
| Affiliation: | Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 70700, Romania ; Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 70700, Romania -- and -- Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, Illinois 61801 |
| Abstract: | Let  be a real number,  a positive integer and  a subset of  . We give an upper bound for the number of distinct lengths of gaps between the fractional parts  . |
| Keywords: | |
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