A concentration function estimate and intersective sets from matrices

作者:Balister Paul*; McCutcheon Randall
来源:Israel Journal of Mathematics, 2012, 189(1): 413-436.
DOI:10.1007/s11856-011-0176-4

摘要

We give several sufficient conditions on an infinite integer matrix (d (ij) ) for the set R = {I pound (ija alpha, i %26gt; j) d (ij) : alpha aS, a%26quot;center dot, |alpha| %26lt; a} to be a density intersective set, including the cases d (nj) = j (n) (1 + O(1/n (1+epsilon) )) and . For the latter, a concentration function estimate that is of independent interest is applied to sums of sequences of 2-valued random variables whose means may grow as .

  • 出版日期2012-6