11 citations · 16 across the 8 of their papers we have counts for
13 papers
Finite Abelian Groups with Toroidal Subgroup Lattices
Richard A. Moy
In this paper, we determine the genus of the subgroup lattice of several families of abelian groups. In doing so, we classify all finite abelian groups whose subgroup lattices can…
Monodromy Groups of Dessins d'Enfant on Rational Polygonal Billiards Surfaces
Richard A. Moy, Jason Schmurr, Japheth Varlack
A dessin d'enfant, or dessin, is a bicolored graph embedded into a Riemann surface, and the monodromy group is an algebraic invariant of the dessin generated by rotations of edges…
Monodromy Groups of Dessins d'Enfant on Rational Triangular Billiards Surfaces
Madison Mabe, Richard A. Moy, Jason Schmurr +1
A dessin d'enfant, or dessin, is a bicolored graph embedded into a Riemann surface, and the monodromy group is an algebraic invariant of the dessin generated by rotations of edges…
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…
Novel structures in Stanley sequences
Richard A. Moy, David Rolnick
Given a set of integers with no three in arithmetic progression, we construct a Stanley sequence by adding integers greedily so that no arithmetic progression is formed. This paper…
There Exist Non-CM Hilbert Modular Forms of Partial Weight 1
Richard A. Moy, Joel Specter
In this note, we prove that there exists a classical Hilbert modular cusp form over Q(\sqrt{5}) of partial weight one which does not arise from the induction of a Grossencharacter…
Congruences Among Power Series Coefficients of Modular Forms
Richard Moy
Many authors have investigated the congruence relations amongst the coefficients of power series expansions of modular forms in modular functions . In a recent paper, R. Osb…
Congruences for Ramanujan's f and ω functions via generalized Borcherds products
Jen Berg, Abel Castillo, Robert Grizzard +3
Bruinier and Ono recently developed the theory of generalized Borcherds products, which uses coefficients of certain Maass forms as exponents in infinite product expansions of mero…
On the Growth of the Counting Function of Stanley Sequences
Richard A. Moy
Given a finite set of nonnegative integers A with no 3-term arithmetic progressions, the Stanley sequence generated by A, denoted S(A), is the infinite set created by beginning wit…