Numerical implementation of harmonic polylogarithms to weight w = 8
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Publication:2696436
DOI10.1016/j.cpc.2019.02.005OpenAlexW2891400499WikidataQ128390442 ScholiaQ128390442MaRDI QIDQ2696436
Carsten Schneider, Jakob Ablinger, Johannes Blümlein, Mark Round
Publication date: 14 April 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.07084
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Uses Software
Cites Work
- Unnamed Item
- The multiple zeta value data mine
- Numerical evaluation of multiple polylogarithms
- Structural relations of harmonic sums and Mellin transforms up to weight \(w=5\)
- Algebraic relations between harmonic sums and associated quantities.
- The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension
- On the reduction of generalized polylogarithms to \(\mathrm{Li}_n\) and \(\mathrm{Li}_{2,2}\) and on the evaluation thereof
- Automated solution of first order factorizable systems of differential equations in one variable
- Harmonic sums and polylogarithms generated by cyclotomic polynomials
- Nielsen’s Generalized Polylogarithms
- HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
- HARMONIC POLYLOGARITHMS
- Analytic computing methods for precision calculations in quantum field theory
- Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
- Numerical evaluation of harmonic polylogarithms
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