Arakelov class groups of random number fields

DOI10.1007/S00208-024-02862-4MaRDI QIDQ6624839

Hendrik W. jun. Lenstra, Alex Bartel, Henri Johnston

Publication date: 28 October 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

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• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Anneaux d'entiers dans le même genre
• On the Galois structure of algebraic integers and S-units
• Exact sequences and Galois module structure
• On \(G_ n(RG)\) for G a finite nilpotent group
• Grothendieck groups of Abelian group rings
• Galois structure of \(K\)-groups of rings of integers
• The Magma algebra system. I: The user language
• On the equivariant Tamagawa number conjecture for Tate motives. II
• Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von gerader bzw. ungerader Ordnung \(\mod p\) ist
• Class Groups of Number Fields: Numerical Heuristics
• Computing Arakelov class groups
• Some Problems of Galois Module Structure for Wild Extensions
• On class groups of random number fields
• Commensurability of automorphism groups
• The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields

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