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20092012
most citedOrthogonal decomposition of the space of algebraic numbers and Lehmer's problem

3 citations · 5 across the 5 of their papers we have counts for

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math.NT2012★ 1 cited

On totally real numbers and equidistribution

Paul Fili, Zachary Miner

C.J. Smyth and later Flammang studied the spectrum of the Weil height in the field of all totally real numbers, establishing both lower and upper bounds for the limit infimum of th…

math.NT2012★ 1 cited

Equidistribution and the heights of totally real and totally p-adic numbers

Paul Fili, Zachary Miner

C.J. Smyth was among the first to study the spectrum of the Weil height in the field of all totally real numbers, establishing both lower and upper bounds for the limit infimum of…

math.NT2012

A generalization of Dirichlet's unit theorem

Paul Fili, Zachary Miner

We generalize Dirichlet's -unit theorem from the usual group of -units of a number field to the infinite rank group of all algebraic numbers having nontrivial valuations…