R. Moy

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20172019

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math.NT2019

The Distance to a Squarefree Polynomial Over $F_{2} [x]$

Michael Filaseta, Richard A. Moy

In this paper, we examine how far a polynomial in $F_{2} [x]$ can be from a squarefree polynomial. For any $ε > 0$ , we prove that for any polynomial $f (x) \in F_{2} [x]$ wi…

math.NT2018

Shabat Polynomials and Monodromy Groups of Trees Uniquely Determined by their Passport

Naiomi Cameron, Mary Kemp, Susan Maslak +4

A dessin d'enfant, or dessin, is a bicolored graph embedded into a Riemann surface. Acyclic dessins can be described analytically by pre-images of certain polynomials, called Shaba…

math.NT2018

On the Galois group over Q of a truncated binomial expansion

Michael Filaseta, Richard Moy

For positive integers $n$ , the truncated binomial expansions of $(1 + x)^{n}$ which consist of all the terms of degree $\leq r$ where $1 \leq r \leq n - 2$ appear always to be irreducible.…

The Distance to a Squarefree Polynomial Over F2​[x]

Shabat Polynomials and Monodromy Groups of Trees Uniquely Determined by their Passport

On the Galois group over Q of a truncated binomial expansion

The Distance to a Squarefree Polynomial Over $F_{2} [x]$