Open Access
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 Γ}-factor is of the form {\small Asi=1dΓ(s+λj2)} with d arbitrary and complex {\small λj}, not necessarily distinct. The algorithm relies on the known (or conjectural) functional equation for L(s).

Citation

Download Citation

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

Keywords: L-functions , Meijer G-function , motives , Zeta-functions

Rights: Copyright © 2004 A K Peters, Ltd.

Vol.13 • No. 2 • 2004
Back to Top