TY - JOUR

T1 - Distinct gaps between fractional parts of sequences

AU - Vâjâitu, Marian

AU - Zaharescu, Alexandru

PY - 2002/12/1

Y1 - 2002/12/1

N2 - Let α be a real number, N a positive integer and N a subset of {0, 1, 2,..., N}. We give an upper bound for the number of distinct lengths of gaps between the fractional parts {nα}, n ∈ N.

AB - Let α be a real number, N a positive integer and N a subset of {0, 1, 2,..., N}. We give an upper bound for the number of distinct lengths of gaps between the fractional parts {nα}, n ∈ N.

UR - http://www.scopus.com/inward/record.url?scp=0036898265&partnerID=8YFLogxK

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U2 - 10.1090/S0002-9939-02-06791-6

DO - 10.1090/S0002-9939-02-06791-6

M3 - Article

AN - SCOPUS:0036898265

SN - 0002-9939

VL - 130

SP - 3447

EP - 3452

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -