Keyword

multiple polylogarithms

Description: A family of special functions generalizing classical polylogarithms, used in number theory and in the evaluation of integrals in mathematical physics.

Primary topic: Advanced Mathematical Identities (68%)

OpenAlex ID: keywords/multiple-polylogarithms

Multiple polylogarithms, cyclotomy and modular complexes

1998 · A. B. Goncharov · Mathematical Research Letters · 703

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Numerical evaluation of multiple polylogarithms

2005 · Jens Vollinga, Stefan Weinzierl · Computer Physics Communications · 455

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Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

2014 · Erik Panzer · Computer Physics Communications · 387

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Special values of multiple polylogarithms

2000 · Jonathan Borwein, David Bradley, et al. · Transactions of the American Mathematical Society · 353

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PolyLogTools — polylogs for the masses

2019 · Claude Duhr, Falko Dulat · Journal of High Energy Physics · 318

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Multiple polylogarithms and mixed Tate motives

2001 · Goncharov, A. B. · arXiv (Cornell University) · 311

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From polygons and symbols to polylogarithmic functions

2012 · Claude Duhr, Herbert Gangl, et al. · Journal of High Energy Physics · 297

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Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes

2012 · Claude Duhr · Journal of High Energy Physics · 262

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Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$

2009 · Francis C. S. Brown · Annales Scientifiques de l École Normale Supérieure · 260

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Elliptic multiple zeta values and one-loop superstring amplitudes

2015 · Johannes Broedel, Carlos R. Mafra, et al. · Journal of High Energy Physics · 194

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From polygons and symbols to polylogarithmic functions

2016 · Claude Duhr, Herbert Gangl, et al. · 181

Elliptic polylogarithms and iterated integrals on elliptic curves. Part I: general formalism

2018 · Johannes Broedel, Claude Duhr, et al. · Journal of High Energy Physics · 164

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Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes

2012 · Duhr, Claude · Repository for Publications and Research Data (ETH Zurich) · 157

The four-loop six-gluon NMHV ratio function

2016 · Lance J. Dixon, Matt von Hippel, et al. · Journal of High Energy Physics · 156

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The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} $ = 4 super-Yang-Mills theory

2014 · Lance J. Dixon, James M. Drummond, et al. · Journal of High Energy Physics · 152

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Polylogarithmes multiples uniformes en une variable

2004 · Francis C.S. Brown · Comptes Rendus Mathématique · 152

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Elliptic polylogarithms and iterated integrals on elliptic curves. Part I: general formalism

2023 · Broedel, Johannes [Humboldt-Univ. zu Berlin, Berlin (Germany)]; Duhr, Claude [European Organization for Nuclear Research (CERN), Geneva (Switzerland); Univ. Catholique de Louvain, Louvain-La-Neuve (Belgium)]; Dulat, Falko [Stanford Univ., Stanford, CA (United States)]; Tancredi, Lorenzo [European Organization for Nuclear Research (CERN), Geneva (Switzerland)] · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 145

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Elliptic polylogarithms and iterated integrals on elliptic curves. II. An application to the sunrise integral

2018 · Johannes Broedel, Claude Duhr, et al. · Physical review. D/Physical review. D. · 142

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Mathematical Aspects of Scattering Amplitudes

2015 · Claude Duhr · 141

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The iterated structure of the all-order result for the two-loop sunrise integral

2016 · Luise Adams, Christian Bogner, et al. · Journal of Mathematical Physics · 140

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Closed string amplitudes as single-valued open string amplitudes

2014 · Stephan Stieberger, Tomasz R. Taylor · Nuclear Physics B · 140