Computing $p$-adic L-functions of totally real fields
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- by Alan Lauder and Jan Vonk HTML | PDF
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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