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- Wake Forest University Health SciencesUS20 papers
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Showing 2016 · math.NTShow all
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math.NT2016★ 27 cited
Torsion points and Galois representations on CM elliptic curves
Abbey Bourdon, Pete L. Clark
We prove several results on torsion points and Galois representations for complex multiplication (CM) elliptic curves over a number field containing the CM field. One result comput…
math.NT2016
When is the sum of two squares?
Greg Dresden, Kylie Hess, Saimon Islam +5
Using Fermat's two squares theorem and properties of cyclotomic polynomials, we prove assertions about when numbers of the form can be expressed as the sum of two integer…
math.NT2016
Sum of two repdigits a square
Bart Goddard, Jeremy Rouse
A \emph{repdigit} is a natural number greater than 10 which has all of its base-10 digits the same. In this paper we find all examples of two repdigits adding to a square. The proo…