S. Wagon

collaborators

3 papers

math.NT2019

Littlewood Polynomials, Spectral-Null Codes, and Equipowerful Partitions

Joe Buhler, Shahar Golan, Rob Pratt +1

Let $[n]$ denote ${0, 1, ..., n - 1}$ . A polynomial $f (x) = \sum a_{i} x^{i}$ is a Littlewood polynomial (LP) of length $n$ if the $a_{i}$ are $\pm 1$ for $i \in [n]$ , and $a_{i} = 0$ for…

math.NT2019

Repeatedly Appending Any Digit to Generate Composite Numbers

Jon Grantham, Witold Jarnicki, John Rickert +1

We investigate the problem of finding integers $k$ such that appending any number of copies of the base-ten digit $d$ to $k$ yields a composite number. In particular, we prove that…

math.CO2016

Properties, Proved and Conjectured, of Keller, Mycielski, and Queen Graphs

Witold Jarnicki, Wendy Myrvold, Peter Saltzman +1

We prove several results about three families of graphs. For queen graphs, defined from the usual moves of a chess queen, we find the edge-chromatic number in almost all cases. In…