Distinct gaps between fractional parts of sequences

Authors:
Marian Vâjâitu and Alexandru Zaharescu

Journal:
Proc. Amer. Math. Soc. **130** (2002), 3447-3452

MSC (2000):
Primary 11K06, 11B05

Published electronically:
July 15, 2002

MathSciNet review:
1918819

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 .

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Additional Information

**Marian Vâjâitu**

Affiliation:
Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 70700, Romania

Email:
mvajaitu@stoilow.imar.ro

**Alexandru Zaharescu**

Affiliation:
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

Email:
zaharesc@math.uiuc.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06791-6

Received by editor(s):
February 7, 2001

Published electronically:
July 15, 2002

Communicated by:
David E. Rohrlich

Article copyright:
© Copyright 2002
American Mathematical Society