Preprint
Exact algorithms for p-adic fields and epsilon constant conjectures
Zusammenfassung
We develop several algorithms for computations in Galois extensions of p-adic fields. Our algorithms are based on existing algorithms for number fields and are exact in the sense that we do not need to consider approximations to p-adic numbers. As an application we describe an algorithmic approach to prove or disprove various conjectures for local and global epsilon constants.
Förderhinweis
The second author was supported by EPSRC grant GR/S91772/01.Zitieren
@article{urn:nbn:de:hebis:34-2006120816196,
author={Bley, Werner and Breuning, Manuel},
title={Exact algorithms for p-adic fields and epsilon constant conjectures},
year={2006}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2006$n2006 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2006120816196 3000 Bley, Werner 3010 Breuning, Manuel 4000 Exact algorithms for p-adic fields and epsilon constant conjectures / Bley, Werner 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2006120816196=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; 06, 10 7136 ##0##urn:nbn:de:hebis:34-2006120816196
2006-12-08T09:55:49Z 2006-12-08T09:55:49Z 2006 urn:nbn:de:hebis:34-2006120816196 http://hdl.handle.net/123456789/2006120816196 The second author was supported by EPSRC grant GR/S91772/01. 306905 bytes application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Algorithmen in p-adischen Galoiserweiterungen Epsilon-Konstanten-Vermutungen 510 Exact algorithms for p-adic fields and epsilon constant conjectures Preprint We develop several algorithms for computations in Galois extensions of p-adic fields. Our algorithms are based on existing algorithms for number fields and are exact in the sense that we do not need to consider approximations to p-adic numbers. As an application we describe an algorithmic approach to prove or disprove various conjectures for local and global epsilon constants. open access Bley, Werner Breuning, Manuel Mathematische Schriften Kassel ;; 06, 10 11R42 11S20 11S40 11Y42 Mathematische Schriften Kassel 06, 10
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