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Modular forms and elliptic curves over the field of fifth roots of unity (with PE Gunnells and Dan Yasaki), Mathematics and Statistics Department Faculty Publication Series (2010)
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity...
Algebraic Properties of a Family of Generalized Laguerre Polynomials, Canadian Journal of Mathematics (2009)
We study the algebraic properties of Generalized Laguerre Polynomials for negative integral values of the...
Specializations of one-parameter families of polynomials (with S Wong), Annales De L Institut Fourier (2006)
Let K be a number field, and suppose λ(x,t)∈K[x,t] is irreducible over K(t). Using algebraic...
Finitely ramified iterated extensions (with W Aitken and C Maire), International Mathematic Research Notices (2005)
Let K be a number field, t a parameter, F = K(t), and φ(x)∈ K...
On the Galois Group of generalized Laguerre polynomials, Journal de théorie des nombres de Bordeaux (2005)
Using the theory of Newton Polygons, we formulate a simple criterion for the Galois group...