PARI/GP swMATH ID: 680 Software Authors: Henri Cohen; Karim Belabas; 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; GAP; ecdata; Mathematica; LMFDB; Maple; gmp; KANT/KASH; GitHub; FLINT; OEIS; NTL; Arb; SINGULAR; MPFR; Python; R; ECPP; Matlab Cited in: 671 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 823 Authors 14 Siksek, Samir 11 Cipu, Mihai 11 Gras, Georges 11 Mignotte, Maurice 11 Mizusawa, Yasushi 11 Molteni, Giuseppe 10 Grenié, Loïc 10 Ramaré, Olivier 9 Azizi, Abdelmalek 9 Dujella, Andrej 8 Belabas, Karim 8 Bugeaud, Yann 8 Languasco, Alessandro 8 Roberts, David Peter 7 Booker, Andrew R. 7 Cohen, Henri 7 Fujita, Yasutsugu 6 Cremona, John E. 6 Jaulent, Jean-François 6 Jones, John William 6 Luca, Florian 6 Peral Alonso, Juan Carlos 6 Sha, Min 6 Simó, Carles 6 Taous, Mohammed 6 Thorne, Frank 6 Wuthrich, Christian 6 Zaïmi, Toufik Mostepha 6 Ziegler, Volker 5 Allombert, Bill 5 Bennett, Michael A. 5 Castaño-Bernard, Carlos 5 Hajir, Farshid 5 Kraus, Alain 5 Maire, Christian 5 Roblot, Xavier-François 5 5 Tangedal, Brett A. 5 Vieiro, Arturo 4 Caputo, Luca 4 Cougnard, Jean 4 Dąbrowski, Andrzej Bogdan 4 Gangl, Herbert 4 Holden, Joshua Brandon 4 Johansson, Fredrik 4 Pethő, Attila 4 Platt, David John 4 Rahm, Alexander Daniel 4 Szymaszkiewicz, Lucjan 4 Togbé, Alain 4 Trudgian, Timothy S. 4 Zekhnini, Abdelkader 3 Allcock, Daniel Jonathan 3 Aouissi, Siham 3 Bertin, Marie-Jose 3 Bleher, Frauke M. 3 Boyd, David William 3 Burns, David John 3 Campbell, Garikai 3 Chenevier, Gaëtan 3 Chinburg, Ted 3 Dieulefait, Luis Victor 3 Doud, Darrin 3 Flori, Jean-Pierre 3 He, Bo 3 Heuberger, Clemens 3 Ingram, Patrick 3 Ismaili, Moulay Chrif 3 Itoh, Tsuyoshi 3 Jukić Bokun, Mirela 3 Martinet, Jacques 3 Mascot, Nicolas 3 Mayer, Daniel C. 3 Pacetti, Ariel 3 Page, Aurel 3 Pappalardi, Francesco 3 Rechnitzer, Andrew Daniel 3 Rouse, Jeremy A. 3 Silverman, Joseph Hillel 3 Soydan, Gokhan 3 Stange, Katherine E. 3 Taniguchi, Takashi 3 Tichy, Robert Franz 3 Trudgian, Tim 3 Vinatier, Stéphane 3 Washington, Lawrence C. 3 Watkins, Mark James 3 Yamamoto, Kota 2 Adam, David 2 Aguirre Estibalez, Julián 2 Argáez-García, Alejandro 2 Ash, Avner 2 Awtrey, Chad 2 Balady, Steve 2 Balakrishnan, Jennifer S. 2 Bartholdi, Laurent 2 Battistoni, Francesco 2 Batut, Christian 2 Bernardi, Dominique 2 Bettin, Sandro ...and 723 more Authors all top 5 Cited in 183 Serials 76 Mathematics of Computation 60 Journal of Number Theory 38 Journal de Théorie des Nombres de Bordeaux 29 International Journal of Number Theory 27 Experimental Mathematics 25 Acta Arithmetica 17 Journal of Symbolic Computation 10 Transactions of the American Mathematical Society 9 Proceedings of the American Mathematical Society 9 The Ramanujan Journal 8 Rocky Mountain Journal of Mathematics 8 Proceedings of the Japan Academy. Series A 8 Research in Number Theory 7 Duke Mathematical Journal 7 Journal of Algebra 6 Functiones et Approximatio. Commentarii Mathematici 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Annales Mathématiques du Québec 5 Advances in Mathematics 5 Mathematische Zeitschrift 5 Proceedings of the London Mathematical Society. Third Series 5 Glasnik Matematički. Serija III 5 Integers 5 Research in the Mathematical Sciences 4 Periodica Mathematica Hungarica 4 Archiv der Mathematik 4 Journal of Pure and Applied Algebra 4 Mathematische Annalen 4 Tokyo Journal of Mathematics 4 Physica D 4 Finite Fields and their Applications 4 Documenta Mathematica 4 Journal of Integer Sequences 3 Bulletin of the Australian Mathematical Society 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Colloquium Mathematicum 3 Journal für die Reine und Angewandte Mathematik 3 Memoirs of the American Mathematical Society 3 Journal of Cryptology 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Applicable Algebra in Engineering, Communication and Computing 3 LMS Journal of Computation and Mathematics 3 Regular and Chaotic Dynamics 3 Journal of High Energy Physics 2 American Mathematical Monthly 2 Discrete Mathematics 2 Israel Journal of Mathematics 2 ACM Transactions on Mathematical Software 2 Canadian Journal of Mathematics 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Osaka Journal of Mathematics 2 Quaestiones Mathematicae 2 Theoretical Computer Science 2 Revista Matemática Iberoamericana 2 Journal of the Ramanujan Mathematical Society 2 SIAM Journal on Scientific Computing 2 St. Petersburg Mathematical Journal 2 Annales Mathématiques Blaise Pascal 2 Turkish Journal of Mathematics 2 The New York Journal of Mathematics 2 Selecta Mathematica. New Series 2 Annals of Mathematics. Second Series 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of the Institute of Mathematics of Jussieu 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 International Journal of Algebra 2 Acta Universitatis Sapientiae. Informatica 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 IEEE Transactions on Information Theory 1 Indian Journal of Pure & Applied Mathematics 1 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Nonlinearity 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Statistical Planning and Inference 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Mathematika ...and 83 more Serials all top 5 Cited in 48 Fields 558 Number theory (11-XX) 88 Algebraic geometry (14-XX) 31 Field theory and polynomials (12-XX) 30 Information and communication theory, circuits (94-XX) 29 Group theory and generalizations (20-XX) 27 Numerical analysis (65-XX) 26 Computer science (68-XX) 17 Commutative algebra (13-XX) 16 Manifolds and cell complexes (57-XX) 15 Special functions (33-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Combinatorics (05-XX) 9 Topological groups, Lie groups (22-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 \(K\)-theory (19-XX) 8 Functions of a complex variable (30-XX) 8 Convex and discrete geometry (52-XX) 8 Quantum theory (81-XX) 8 Operations research, mathematical programming (90-XX) 6 Geometry (51-XX) 6 Mechanics of particles and systems (70-XX) 5 Nonassociative rings and algebras (17-XX) 5 Real functions (26-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Associative rings and algebras (16-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic topology (55-XX) 3 Probability theory and stochastic processes (60-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-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