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}
}
  • D. Farmer, N. Ryan
  • Published 2012
  • Mathematics
  • Lms Journal of Computation and Mathematics
  • 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. 
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