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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Computing $p$-adic L-functions of totally real fields
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by Alan Lauder and Jan Vonk HTML | PDF
Math. Comp. 91 (2022), 921-942 Request permission

Abstract:

We describe an algorithm for computing $p$-adic L-functions of characters of totally real fields, using the Fourier expansions of diagonal restrictions of Hilbert modular forms.
References
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Additional Information
  • Alan Lauder
  • Affiliation: Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom
  • MR Author ID: 639407
  • Email: lauder@maths.ox.ac.uk
  • Jan Vonk
  • Affiliation: Mathematical Institute (Snellius), University of Leiden, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands
  • MR Author ID: 858428
  • ORCID: 0000-0002-7775-8843
  • Email: j.b.vonk@math.leidenuniv.nl
  • Received by editor(s): October 19, 2019
  • Received by editor(s) in revised form: January 30, 2021, and June 8, 2021
  • Published electronically: October 15, 2021
  • Additional Notes: The second author was supported by Francis Brown and ERC-COG 724638 ‘GALOP’, the Carolyn and Franco Gianturco Fellowship at Linacre College (Oxford), the Max-Planck-Institut für Mathematik (Bonn), and NSF Grant No. DMS-1638352 at the Institute for Advanced Study (Princeton), during various stages of this project.
  • © Copyright 2021 American Mathematical Society
  • Journal: Math. Comp. 91 (2022), 921-942
  • MSC (2020): Primary 11R42, 11F41, 11Y40
  • DOI: https://doi.org/10.1090/mcom/3678
  • MathSciNet review: 4379982