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math.NT2013
Diophantine approximation and coloring
Alan Haynes, Sara Munday
We demonstrate how connections between graph theory and Diophantine approximation can be used in conjunction to give simple and accessible proofs of seemingly difficult results in…
math.NT2013
Density of orbits of semigroups of endomorphisms acting on the Adeles
Alan Haynes, Sara Munday
We investigate the question of whether or not the orbit of a point in A/Q, under the natural action of a subset S of Q, is dense in A/Q. We prove that if the set S is a multiplicat…