Computing Special Values of MotivicL-Functions

DOI10.1080/10586458.2004.10504528zbMATH Open1139.11317arXivmath/0207280OpenAlexW2127265363MaRDI QIDQ4828766

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Publication date: 26 November 2004

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Abstract: 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).

Full work available at URL: https://arxiv.org/abs/math/0207280

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