Computing special values of motivic L-functions
数论
2013-09-23 v1
摘要
We present an algorithm to compute values L(s) and derivatives of L-functions of motivic origin numerically to required accuracy. Specifically, the method applies to any L-series whose Gamma-factor is a product of any number of Gamma-functions Gamma((s+l(j))/2) with complex l(j), not necessarily distinct. The algorithm relies on the known (or conjectural) functional equation for L(s).
引用
@article{arxiv.math/0207280,
title = {Computing special values of motivic L-functions},
author = {Tim Dokchitser},
journal= {arXiv preprint arXiv:math/0207280},
year = {2013}
}
备注
19 pages (LaTeX), for PARI implementation and examples see http://maths.dur.ac.uk/~dma0td/computel/