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A simple remark on Kummer’s conjecture

Volume 214 / 2024

Jorge Jiménez-Urroz, Shigeru Kanemitsu Acta Arithmetica 214 (2024), 459-471 MSC: Primary 11R29; Secondary 11M06, 11M20, 11L20 DOI: 10.4064/aa230725-5-6 Published online: 12 June 2024

Abstract

We study Kummer’s conjecture. In particular, we improve all the known upper bounds for the first factor of the class number of prime cyclotomic fields.

Authors

  • Jorge Jiménez-UrrozUniversidad Politécnica de Madrid
    28040 Madrid, Spain
    e-mail
  • Shigeru KanemitsuKinki University
    Osaka 577-8502, Japan
    e-mail

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