A generalised kummer's conjecture

Authors

M. J.R. Myers, Calvin University

Document Type

Article

Publication Title

Glasgow Mathematical Journal

Abstract

Kummer's conjecture predicts the rate of growth of the relative class numbers of cyclotomic fields of prime conductor. We extend Kummer's conjecture to cyclotomic fields of conductor n, where n is any natural number. We show that the Elliott-Halberstam conjecture implies that this generalised Kummer's conjecture is true for almost all n but is false for infinitely many n.

First Page

453

Last Page

472

DOI

10.1017/S0017089510000340

Publication Date

9-1-2010

Recommended Citation

Myers, M. J.R., "A generalised kummer's conjecture" (2010). University Faculty Publications and Creative Works. 423.
https://digitalcommons.calvin.edu/calvin_facultypubs/423