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math.NT2017
On the height of solutions to norm form equations
Shabnam Akhtari, Jeffrey D. Vaaler
Let be a number field. We consider norm form equations associated to a full -module contained in a finite extension field . It is known that the set of solutions is nat…
math.NT2017
Lower Bounds for Heights in Relative Galois Extensions
Shabnam Akhtari, Kevser Aktaş, Kirsti Biggs +3
The goal of this paper is to obtain lower bounds on the height of an algebraic number in a relative setting, extending previous work of Amoroso and Masser. Specifically, in our fir…