Evaluating L-functions with few known coefficients.

Authors

Nathan C. Ryan, Bucknell UniversityFollow
David W. Farmer, American Institute of MathematicsFollow

Publication Date

2014

Description

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.

Journal

LMS Journal of Computation and Mathematics

Volume

17

Issue

1

First Page

245

Last Page

258

Department

Mathematics

Recommended Citation

Ryan, Nathan C. and Farmer, David W.. "Evaluating L-functions with few known coefficients.." LMS Journal of Computation and Mathematics (2014) : 245-258.