Title

Evaluating L-functions with few known coefficients.

Publication Date

2014

Journal

LMS Journal of Computation and Mathematics

Volume

17

Issue

1

First Page

245

Last Page

258

Abstract

We address the problem of evaluating an L-function when only a small number of its Dirichlet coefficients are known. We use the approximate functional equation in a new way and find that is possible to evaluate the L-function more precisely than one would expect from the standard approach. The method, however, requires considerably more computational effort to achieve a given accuracy than would be needed if more Dirichlet coefficients were available.