Arithmetically equivalent number fields have approximately the same successive minima

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چکیده

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

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ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 2023

ISSN: ['0022-314X', '1096-1658']

DOI: https://doi.org/10.1016/j.jnt.2023.02.011