On the Iwasawa invariants of prime cyclotomic fields

DOI10.1007/s40993-023-00435-zOpenAlexW4364361594MaRDI QIDQ2696586

Sey Y. Kim

Publication date: 14 April 2023

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

Full work available at URL: https://doi.org/10.1007/s40993-023-00435-z

zbMATH Keywords

cyclotomic fieldclass groupIwasawa invariantVandiver's conjecture

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Cites Work

• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Remarks on \(\mathbb{Z}_ p\)-extensions of number fields
• On Γ-extensions of algebraic number fields
• On higher p-adic regulators
• Irregular primes to two billion
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