Evaluating L-functions with few known coefficients.

@article{Farmer2012EvaluatingLW,
title={Evaluating L-functions with few known coefficients.},
author={D. Farmer and N. Ryan},
journal={Lms Journal of Computation and Mathematics},
year={2012},
volume={17},
pages={245-258}
}

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.