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math.NT2012
A Wallis Product on Clovers
Trevor Hyde
We prove a generalization of the Wallis product for a sequence of real numbers related to arc lengths of clover curves. Our proof generalizes a common argument given for the origin…
math.NT2012
The Galois theory of the lemniscate
David A. Cox, Trevor Hyde
This article studies the Galois groups that arise from division points of the lemniscate. We compute these Galois groups two ways: first, by class field theory, and second, by prov…