Distribution of Artin-Schreier-Witt extensions
Abstract
The article at hand contains exact asymptotic formulas for the distribution of conductors of abelian p-extensions of global function fields of characteristic p. These yield a new conjecture for the distribution of discriminants fueled by an interesting lower bound.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2013
- DOI:
- 10.48550/arXiv.1304.1708
- arXiv:
- arXiv:1304.1708
- Bibcode:
- 2013arXiv1304.1708L
- Keywords:
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- Mathematics - Number Theory
- E-Print:
- arXiv admin note: text overlap with arXiv:1107.0906 [Remark of the author: Generalisation from elementary abelian p-groups to abelian p-groups]. appears in Journal of Number Theory (2015)