Arithmetically equivalent number fields have approximately the same successive minima

2022/06/28 by Vermeulen, Floris
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2206.13855

Abstract

Let K and K' be arithmetically equivalent number fields, both of degree d. We prove that K and K' have the same successive minima, up to a constant depending only on d. We give examples showing that one cannot expect equality.

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