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Exact algorithms for p-adic fields and epsilon constant conjectures

Bley, Werner
Breuning, Manuel

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.

Classification / Keywords
Sponsor
The second author was supported by EPSRC grant GR/S91772/01.
Citation
In: Mathematische Schriften Kassel 06, 10 / (2006) , S. ; 
@article{urn:nbn:de:hebis:34-2006120816196,
  author    ={Bley, Werner and Breuning, Manuel},
  title    ={Exact algorithms for p-adic fields and epsilon constant conjectures},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2006}
}