Arithmetically equivalent number fields have approximately the same successive minima

DOI10.1016/j.jnt.2023.02.011OpenAlexW4353055780MaRDI QIDQ2700675

Floris Vermeulen

Publication date: 27 April 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.13855

zbMATH Keywords

number fieldsGalois theoryrepresentation theorylatticessuccessive minimaarithmetic equivalence

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic number theory computations (11Y40) Varieties over global fields (11G35) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (1)

Scrollar invariants, syzygies and representations of the symmetric group

Uses Software

• Magma

Cites Work

• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• The Magma algebra system. I: The user language
• Computing Riemann-Roch spaces in algebraic function fields and related topics.
• The dimension growth conjecture, polynomial in the degree and without logarithmic factors
• Brauer–Kuroda relations for S-class numbers
• Polynomials with galois group psl(2,7)
• Zeta functions do not determine class numbers
• Stronger arithmetic equivalence
• Class number relations from a computational point of view
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