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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Computing $p$-adic $L$-functions of totally real number fields
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by Xavier-François Roblot PDF
Math. Comp. 84 (2015), 831-874 Request permission

Abstract:

We prove new explicit formulas for the $p$-adic $L$-functions of totally real number fields and show how these formulas can be used to compute values and representations of $p$-adic $L$-functions.
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Additional Information
  • Xavier-François Roblot
  • Affiliation: Université de Lyon, Université Lyon 1, CNRS UMR5208, Institut Camille Jordan, 43 blvd du 11 novembre 1918, 69622 Villeurbanne Cedex, France
  • Email: roblot@math.univ-lyon1.fr
  • Received by editor(s): April 23, 2012
  • Received by editor(s) in revised form: June 25, 2013
  • Published electronically: September 23, 2014
  • Additional Notes: The author was supported in part by the ANR AlgoL (ANR-07-BLAN-0248) and the JSPS Global COE CompView.
  • © Copyright 2014 American Mathematical Society
  • Journal: Math. Comp. 84 (2015), 831-874
  • MSC (2010): Primary 11R42, 11Y40
  • DOI: https://doi.org/10.1090/S0025-5718-2014-02889-5
  • MathSciNet review: 3290966