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Keyword

polylogarithms

Description: A family of special mathematical functions generalizing the logarithm, arising in number theory, analysis, and the study of special functions.
Wikidata ID: wiki/Q1238449
OpenAlex ID: keywords/polylogarithms
Polylogarithms and Associated Functions
1981 · L. Lewin · 1,198
Analytical result for dimensionally regularized massless on-shell double box
1999 · V.A. Smirnov · Physics Letters B · 364
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Dilogarithms and Associated Functions
1961 · Y. L. L., L. Lewin · Mathematics of Computation · 346
Dilogarithms and Associated Functions
1959 · A W Gillies · Physics Bulletin · 330
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Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials
2011 · Ablinger, J., Blümlein, J., et al. · 270
An approach to the evaluation of three- and four-point ladder diagrams
1993 · N.I. Ussyukina, A.I. Davydychev · Physics Letters B · 265
Analytical Result for Dimensionally Regularized Massless On-shell Double Box
1999 · V. A. Smirnov · 251
Motivic amplitudes and cluster coordinates
2014 · J. K. Golden, A. B. Goncharov, et al. · Journal of High Energy Physics · 250
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Scattering Amplitudes and Conservative Binary Dynamics at O ( G 4 )
2021 · Zvi Bern, Julio Parra-Martinez, et al. · Physical Review Letters · 236
Exact results for three- and four-point ladder diagrams with an arbitrary number of rungs
1993 · N.I. Ussyukina, A.I. Davydychev · Physics Letters B · 235
Harmonic sums and polylogarithms generated by cyclotomic polynomials
2011 · Jakob Ablinger, Johannes Blümlein, et al. · Journal of Mathematical Physics · 226
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Polylogarithms, multiple zeta values and superstring amplitudes
2013 · J. Broedel, O. Schlotterer, et al. · Fortschritte der Physik · 210
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Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at O ( G 4 )
2022 · Zvi Bern, Julio Parra-Martinez, et al. · Physical Review Letters · 203
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Two-loop QCD corrections to gluon–gluon scattering
2001 · E.W.N. Glover, C. Oleari, et al. · Nuclear Physics B · 191
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Geometry of Configurations, Polylogarithms, and Motivic Cohomology
1995 · A.B. Goncharov · Advances in Mathematics · 182
Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass
1999 · J. Fleischer, A.V. Kotikov, et al. · Nuclear Physics B · 175
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A two-loop four-gluon helicity amplitude in QCD
2000 · Zvi Bern, Lance Dixon, et al. · Journal of High Energy Physics · 163
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Two-loop planar master integrals for Higgs → 3 partons with full heavy-quark mass dependence
2016 · Roberto Bonciani, Vittorio Del Duca, et al. · Journal of High Energy Physics · 154
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Dilogarithms, regulators andp-adicL-functions
1982 · Robert F. Coleman · Inventiones mathematicae · 151
Fuchsia : A tool for reducing differential equations for Feynman master integrals to epsilon form
2017 · Oleksandr Gituliar, Vitaly Magerya · Computer Physics Communications · 149
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Three-loop four-point correlator in N=4 SYM
2000 · B. Eden, C. Schubert, et al. · Physics Letters B · 149
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Two-loop QCD corrections to the scattering of massless distinct quarks
2001 · C. Anastasiou, E.W.N. Glover, et al. · Nuclear Physics B · 146
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Analytic two-loop form factors in $ \mathcal{N} = 4 $ SYM
2012 · Andreas Brandhuber, Gabriele Travaglini, et al. · Journal of High Energy Physics · 145
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Two-loop QCD corrections to massless quark–gluon scattering
2001 · C. Anastasiou, E.W.N. Glover, et al. · Nuclear Physics B · 142
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Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators
2000 · V.A. Smirnov, O.L. Veretin · Nuclear Physics B · 142
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Works count: 1,303
Citation count: 17,980
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