5 papers
The Distance to a Squarefree Polynomial Over
Michael Filaseta, Richard A. Moy
In this paper, we examine how far a polynomial in can be from a squarefree polynomial. For any , we prove that for any polynomial wi…
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…
On the Galois group over Q of a truncated binomial expansion
Michael Filaseta, Richard Moy
For positive integers , the truncated binomial expansions of which consist of all the terms of degree where appear always to be irreducible.…
Characters of Independent Stanley Sequences
Richard Moy, Mehtaab Sawhney, David Stoner
Odlyzko and Stanley introduced a greedy algorithm for constructing infinite sequences with no 3-term arithmetic progressions when beginning with a finite set with no 3-term arithme…
Stanley sequences with odd character
Richard A. Moy
Given a set of integers containing no 3-term arithmetic progressions, one constructs a Stanley sequence by choosing integers greedily without forming such a progression. Independen…