A simple remark on Kummer’s conjecture
Volume 214 / 2024
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.