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Mathematics of Computation

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Computing $ p$-adic $ L$-functions of totally real number fields


Author: Xavier-François Roblot
Journal: Math. Comp. 84 (2015), 831-874
MSC (2010): Primary 11R42, 11Y40
Published electronically: September 23, 2014
MathSciNet review: 3290966
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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

DOI: https://doi.org/10.1090/S0025-5718-2014-02889-5
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.
Article copyright: © Copyright 2014 American Mathematical Society