Computing 𝑝-adic L-functions of totally real fields

Mathematics of Computation, vol. 91, pp. 921–942

Abstract

We describe an algorithm for computing p p -adic L-functions of characters of totally real fields, using the Fourier expansions of diagonal restrictions of Hilbert modular forms.

Authors 2

1. Alan G. B. Lauder

   University of Oxford

   Affiliation as printed

   Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom

2. Jan Vonk Aachen Mathematical Institute

   Leiden University

   Affiliation as printed

   Mathematical Institute (Snellius), University of Leiden, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands