arXiv:1706.08118 Abstract | arXiv Analytics

arXiv:1706.08118 [math.CA]Abstract References Reviews Resources

Large sets avoiding linear patterns

Published 2017-06-25Version 1

We prove that for any dimension function $h$ with $h \prec x^d$ and for any countable set of linear patterns, there exists a compact set $E$ with $\mathcal{H}^h(E)>0$ avoiding all the given patterns. We also give several applications and recover results of Keleti, Maga, and Mathe.

Comments: 9 pages

Categories: math.CA, math.CO, math.MG

Subjects: 28A78

Keywords: large sets avoiding linear patterns, compact set, dimension function, countable set, applications

Related articles: Most relevant | Search more

arXiv:math/0010162 [math.CA] (Published 2000-10-16)

A new A_n extension of Ramanujan's 1-psi-1 summation with applications to multilateral A_n series

S. C. Milne, M. Schlosser

arXiv:0909.0230 [math.CA] (Published 2009-09-01, updated 2009-10-04)

Mittag-Leffler Functions and Their Applications

H. J. Haubold, A. M. Mathai, R. K. Saxena

arXiv:math/0304345 [math.CA] (Published 2003-04-22)