15 citations · 33 across the 13 of their papers we have counts for
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On the heights of totally p-adic numbers
Paul Fili
Bombieri and Zannier established lower and upper bounds for the limit infimum of the Weil height in fields of totally p-adic numbers and generalizations thereof. In this paper, we…
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…
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…
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…