PARI/GP swMATH ID: 680 Software Authors: Cohen, Henri; Belabas, Karim; PARI Group Description: PARI/GP is a widely used Computer Algebra System (CAS) designed for fast computations in number theory, but also contains a large number of other useful functions to compute with mathematical entities such as matrices, power series, algebraic or p-adic numbers, etc., and a lot of transcendental functions. PARI is also available as a C library to allow for faster computations. Homepage: http://pari.math.u-bordeaux.fr/ Keywords: orms Related Software: Magma; SageMath; ecdata; GAP; Mathematica; LMFDB; GitHub; Maple; gmp; Arb; OEIS; KANT/KASH; FLINT; NTL; SINGULAR; Python; MPFR; ECPP; R; SciPy Cited in: 788 Documents This software is also referenced in ORMS. Standard Articles 3 Publications describing the Software, including 3 Publications in zbMATH Year Numerical algorithms for number theory. Using Pari/GP. Zbl 1477.11001Belabas, Karim; Cohen, Henri 2021 A new interpretor for PARI/GP. Zbl 1191.11036Allombert, Bill 2008 Computing in algebraic number fields. Zbl 0955.11032Cohen, Henri 1998 all top 5 Cited by 968 Authors 14 Mignotte, Maurice 14 Siksek, Samir 13 Azizi, Abdelmalek 13 Cipu, Mihai 12 Gras, Georges 12 Ramaré, Olivier 11 Languasco, Alessandro 11 Mizusawa, Yasushi 10 Belabas, Karim 10 Booker, Andrew R. 10 Dujella, Andrej 10 Fujita, Yasutsugu 10 Grenié, Loïc 10 Molteni, Giuseppe 10 Pacetti, Ariel Martín 8 Bugeaud, Yann 8 Cohen, Henri 8 Cremona, John E. 8 Roberts, David Peter 7 Luca, Florian 7 7 Thorne, Frank 7 Zekhnini, Abdelkader 6 Jaulent, Jean-François 6 Jones, John William 6 Maire, Christian 6 Peral Alonso, Juan Carlos 6 Sha, Min 6 Simó, Carles 6 Taous, Mohammed 6 Vieiro, Arturo 6 Wuthrich, Christian 6 Zaïmi, Toufik Mostepha 6 Ziegler, Volker 5 Allombert, Bill 5 Bennett, Michael A. 5 Hajir, Farshid 5 Kraus, Alain 5 Mascot, Nicolas 5 Page, Aurel 5 Roblot, Xavier-François 5 Simon, Denis 5 Tangedal, Brett A. 4 Aouissi, Siham 4 Brandhorst, Simon 4 Caputo, Luca 4 Castaño-Bernard, Carlos 4 Cougnard, Jean 4 Dąbrowski, Andrzej Bogdan 4 De Feo, Luca 4 Doud, Darrin 4 Gangl, Herbert 4 Holden, Joshua Brandon 4 Ismaili, Moulay Chrif 4 Johansson, Fredrik 4 Mayer, Daniel C. 4 Pethő, Attila 4 Platt, David John 4 Rahm, Alexander Daniel 4 Silverman, Joseph Hillel 4 Szymaszkiewicz, Lucjan 4 Togbé, Alain 4 Trudgian, Tim 4 Trudgian, Timothy S. 4 Voight, John Michael 4 Washington, Lawrence C. 3 Allcock, Daniel Jonathan 3 Balakrishnan, Jennifer S. 3 Bertin, Marie-Jose 3 Biasse, Jean-François 3 Bilu, Yuri F. 3 Bleher, Frauke M. 3 Boston, Nigel 3 Boyd, David William 3 Burns, David John 3 Bush, Michael R. 3 Campbell, Garikai 3 Castagnos, Guilhem 3 Chenevier, Gaëtan 3 Chinburg, Ted 3 Costa, Edgar 3 Dahmen, Sander R. 3 De Courcy-Ireland, Matthew 3 Diaz y Diaz, Francisco 3 Dieulefait, Luis Victor 3 Filipin, Alan 3 Flori, Jean-Pierre 3 Friedman, Eduardo C. 3 He, Bo 3 Heuberger, Clemens 3 Ingram, Patrick 3 Itoh, Tsuyoshi 3 Jacobson, Michael John jun. 3 Jukić Bokun, Mirela 3 Kiming, Ian 3 Laguillaumie, Fabien 3 Martinet, Jacques 3 Nuccio Mortarino Majno di Capriglio, Filippo Alberto Edoardo 3 Ozdemir, Enver 3 Pappalardi, Francesco ...and 868 more Authors all top 5 Cited in 206 Serials 83 Mathematics of Computation 68 Journal of Number Theory 40 Journal de Théorie des Nombres de Bordeaux 36 International Journal of Number Theory 29 Experimental Mathematics 27 Acta Arithmetica 20 Research in Number Theory 17 Journal of Symbolic Computation 11 Transactions of the American Mathematical Society 11 The Ramanujan Journal 10 Proceedings of the American Mathematical Society 9 Rocky Mountain Journal of Mathematics 9 Research in the Mathematical Sciences 8 Proceedings of the Japan Academy. 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B ...and 106 more Serials all top 5 Cited in 50 Fields 658 Number theory (11-XX) 108 Algebraic geometry (14-XX) 37 Information and communication theory, circuits (94-XX) 35 Field theory and polynomials (12-XX) 34 Group theory and generalizations (20-XX) 33 Computer science (68-XX) 29 Numerical analysis (65-XX) 19 Combinatorics (05-XX) 19 Commutative algebra (13-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Special functions (33-XX) 17 Manifolds and cell complexes (57-XX) 11 Quantum theory (81-XX) 10 Convex and discrete geometry (52-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 \(K\)-theory (19-XX) 9 Topological groups, Lie groups (22-XX) 9 Operations research, mathematical programming (90-XX) 8 Functions of a complex variable (30-XX) 6 Associative rings and algebras (16-XX) 6 Nonassociative rings and algebras (17-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geometry (51-XX) 6 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Approximations and expansions (41-XX) 5 Statistics (62-XX) 4 Ordinary differential equations (34-XX) 3 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 3 Sequences, series, summability (40-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year