The zeros of the Artin l-series of a cubic field on the critical line
β Scribed by Lenard Weinstein
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 234 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
The following problem may be considered as an inverse of Artin's density theorem: Given \(n \geqslant 2\) and \(p\) prime, does there exist a density for the set of algebraic integers \(\alpha\) of degree \(n\) for which \(p\) has an assigned splitting in \(\mathbf{Q}(\alpha)\) ? We find that such a
## Abstract Let \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$K/\mathbb {Q}$\end{document} be a finite Galois extension with the Galois group __G__, and let Ο be a character of __G__ with the associated Artin __L__βfunction __L__(__s__, Ο) defined in β(__s__) > 1 by t