26 citations · 89 across the 23 of their papers we have counts for
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math.NT2014
Sets of natural numbers with proscribed subsets
Kevin O'Bryant
Fix , a family of subsets of natural numbers, and let be the maximum cardinality of a subset of that does not have any subset in . We consider the g…
math.NT2014
The sequence of fractional parts of roots
Kevin O'Bryant
We study the function M(t,n) = Floor[ 1 / {t^(1/n)} ], where t is a positive real number, Floor[.] and {.} are the floor and fractional part functions, respectively. In a recent ar…
math.NT2014
A problem of Rankin on sets without geometric progressions
Melvyn B. Nathanson, Kevin O'Bryant
A geometric progression of length and integer ratio is a set of numbers of the form for some positive real number and integer . For each…