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math.NT2023
On Mahler's inequality and small integral generators of totally complex number fields
Murray Child, Martin Widmer
We improve Mahler's lower bound for the Mahler measure in terms of the discriminant and degree for a specific class of polynomials: complex monic polynomials of degree su…
math.NT2023
Small integral generators of totally complex number fields
Shabnam Akhtari, Jeffrey Vaaler, Martin Widmer
Let be an algebraic number field and the absolute Weil height. Write for a certain positive constant that is an invariant of . We consider the question: does c…