S. Wagon

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20162019

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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…