Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-15T10:19:37.856Z Has data issue: false hasContentIssue false

On Real Zeros of Dedekind ζ-Functions

Published online by Cambridge University Press:  20 November 2018

H. Heilbronn*
Affiliation:
University of Toronto, Toronto, Ontario
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let K be a finite normal extension of an algebraic number field k; let k2 be the compositum of all quadratic extensions of k which are contained in K. Let ζk(s), ζK(s) and ζk2(s) denote the Dedekind ζ-functions of these fields.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Brauer, R., On Artin L-series with general group characters, Ann. of Math. 48 (1947), 502514.Google Scholar
2. Brauer, R., On the zeta-functions of algebraic number fields. Amer. J. Math. 69 (1947), 243250.Google Scholar
3. Goldstein, L., Relatively imaginary quadratic fields of class number 1 or 2, Trans. Amer. Math. Soc. 165 (1972), 353364.Google Scholar
4. Sunley, J. S., Class numbers of totally imaginary quadratic extensions of totally real fields Ph.D. Thesis, University of Maryland, 1971.Google Scholar