English

Zeta functions do not determine class numbers

Number Theory 2009-09-25 v1

Abstract

We show that two number fields with the same zeta function, and even with isomorphic adele rings, do not necessarily have the same class number.

Keywords

Cite

@article{arxiv.math/9410216,
  title  = {Zeta functions do not determine class numbers},
  author = {Bart de Smit and Robert Perlis},
  journal= {arXiv preprint arXiv:math/9410216},
  year   = {2009}
}

Comments

3 pages