Michael A. Bennett

activity

20142023

most citedLong paths in the distance graph over large subsets of vector spaces over finite fields

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2023

Arithmetic Progressions in Squarefull Numbers

Prajeet Bajpai, Michael A. Bennett, Tsz Ho Chan

We answer a number of questions of Erdős on the existence of arithmetic progressions in $k$ -full numbers (i.e. integers with the property that every prime divisor necessarily occur…

math.NT2016

Squares with three nonzero digits

Michael A. Bennett, Adrian-Maria Scheerer

We determine all integers $n$ such that $n^{2}$ has at most three base- $q$ digits for $q \in {2, 3, 4, 5, 8, 16}$ . More generally, we show that all solutions to equations of the s…

math.CO2014★ 2 cited

Long paths in the distance graph over large subsets of vector spaces over finite fields

M. Bennett, J. Chapman, D. Covert +3

Let $E \subset F_{q}^{d}$ , the $d$ -dimensional vector space over a finite field with $q$ elements. Construct a graph, called the distance graph of $E$ , by letting the vertices b…