HPL swMATH ID: 10415 Software Authors: D. Maître Description: HPL, a Mathematica implementation of the harmonic polylogarithms. In this paper, we present an implementation of the harmonic polylogarithm of Remiddi and Vermaseren [E. Remiddi, J.A.M. Vermaseren, Int. J. Modern Phys. A 15 (2000) 725, hep-ph/9905237] for Mathematica. It contains an implementation of the product algebra, the derivative properties, series expansion and numerical evaluation. The analytic continuation has been treated carefully, allowing the user to keep the control over the definition of the sign of the imaginary parts. Many options enables the user to adapt the behavior of the package to his specific problem. Homepage: http://www.sciencedirect.com/science/article/pii/S0010465505005771 Dependencies: Mathematica Related Software: FORM; GiNaC; FIRE; LiteRed; Hypexp; FIRE5; HarmonicSums; FIESTA; Mathematica; Axodraw; CHAPLIN; Reduze; HYPERDIRE; SecDec; Nestedsums; XSummer; AIR; JaxoDraw; Fuchsia; epsilon Cited in: 66 Publications all top 5 Cited by 121 Authors 11 Henn, Johannes M. 7 Smirnov, Vladimir A. 5 Duhr, Claude 5 Gehrmann, Thomas 4 Drummond, James M. 4 Gromov, Nikolay A. 4 Korchemsky, Gregory P. 4 Lee, Roman N. 4 Smirnov, Aleksandr Vladimirovich 4 Velizhanin, V. N. 3 Bogner, Christian 3 Caron-Huot, Simon 3 Dixon, Lance J. 3 Heslop, Paul J. 3 Levkovich-Maslyuk, Fedor 2 Bianchi, Marco S. 2 Brandhuber, Andreas 2 Cavaglià, Andrea 2 Glover, E. W. N. 2 Huber, Tobias 2 Kazakov, Vladimir A. 2 Laenen, Eric 2 Mistlberger, Bernhard 2 Rietkerk, Robbert 2 Spence, Bill 2 Steinhauser, Matthias 2 Studerus, C. 2 Tancredi, Lorenzo 2 Travaglini, Gabriele 1 Alday, Luis Fernando 1 Amdeberhan, Tewodros 1 Anselmetti, Lorenzo 1 Argeri, Mario 1 Basso, Benjamin 1 Belitsky, Andrei V. 1 Bernreuther, Werner 1 Bombardelli, Diego 1 Bonciani, Roberto 1 Bonocore, Domenico 1 Bork, Leonid V. 1 Braun, Vladimir M. 1 Brown, Francis C. S. 1 Brüser, Robin 1 Buehler, Stephan 1 Daleo, Alejandro 1 Dekkers, Oliver 1 Del Duca, Vittorio 1 Di Vita, Stefano 1 Eden, Burkhard 1 Ferroglia, Andrea 1 Freitas, Ayres 1 Frellesvig, Hjalte 1 Gangl, Herbert 1 Gehrmann-De Ridder, Aude 1 Gonçalves, Vasco 1 Griguolo, Luca 1 Grozin, Andrey G. 1 Herranen, Matti 1 Huang, Zhiwei 1 Iakhibbaev, R. M. 1 Ikizlerli, N. 1 Jaarsma, Max 1 Jaquier, M. 1 Julius, Julius 1 Katsaroumpas, Panagiotis 1 Komatsu, Shota 1 Koukoutsakis, A. 1 Larsen, Kasper J. 1 Leoni, Matías 1 Li, Yibei 1 Liu, Jueping 1 Luisoni, Gionata 1 łukowski, Tomasz 1 Maître, Daniel 1 Maldacena, Juan M. 1 Mamroud, Ohad 1 Manashov, Alexander N. 1 Marquard, Peter 1 Mastrolia, Pierpaolo 1 Mauri, Andrea 1 McLeod, Andrew J. 1 Mingulov, Kirill T. 1 Mirabella, Edoardo 1 Moch, Sven-Olaf 1 Moll, Victor Hugo 1 Moult, Ian 1 Muzhichkov, N. B. 1 Nasti, Adele 1 Novotný, Jiří 1 Panzer, Erik 1 Papathanasiou, Georgios 1 Penati, Silvia 1 Pennington, Jeffrey S. 1 Preti, Michelangelo 1 Rhodes, John R. 1 Sandor, Joshua 1 Schlenk, Johannes 1 Schoenleber, J. 1 Schubert, Ulrich 1 Seminara, Domenico ...and 21 more Authors all top 5 Cited in 6 Serials 52 Journal of High Energy Physics 6 Computer Physics Communications 5 Nuclear Physics. B 1 Physics Letters. B 1 International Journal of Number Theory 1 Communications in Number Theory and Physics all top 5 Cited in 13 Fields 62 Quantum theory (81-XX) 8 Number theory (11-XX) 6 Relativity and gravitational theory (83-XX) 4 Special functions (33-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Algebraic geometry (14-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year