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2004 Computing Special Values of Motivic L-Functions
Tim Dokchitser
Experiment. Math. 13(2): 137-150 (2004).

Abstract

We present an algorithm to compute values L(s) and derivatives {\small $L^{(k)}(s)$} of L-functions of motivic origin numerically to required accuracy. Specifically, the method applies to any L-series whose {\small $\Gamma$}-factor is of the form {\small $A^s\prod_{i=1}^d \Gamma(\frac{s+\lambda_j}{2})$} with d arbitrary and complex {\small $\lambda_j$}, not necessarily distinct. The algorithm relies on the known (or conjectural) functional equation for L(s).

Citation

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Tim Dokchitser. "Computing Special Values of Motivic L-Functions." Experiment. Math. 13 (2) 137 - 150, 2004.

Information

Published: 2004
First available in Project Euclid: 20 July 2004

zbMATH: 1139.11317
MathSciNet: MR2068888

Subjects:
Primary: 11M99
Secondary: 11F66, 11G40, 11M41, 11R42, 14G10

Rights: Copyright © 2004 A K Peters, Ltd.

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Vol.13 • No. 2 • 2004
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