# zbMATH — the first resource for mathematics

## Gerhard, Jürgen

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 Author ID: gerhard.jurgen Published as: Gerhard, Jürgen; Gerhard, J.
 Documents Indexed: 17 Publications since 1996, including 8 Books
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#### Co-Authors

 3 single-authored 7 von zur Gathen, Joachim 3 Oevel, Walter 3 Wehmeier, Stefan 2 Postel, Frank 1 Bang, Joon 1 Bonorden, Olaf 1 Cohl, Howard Saul 1 Creutzig, Christopher 1 Giesbrecht, Mark W. 1 Greiner-Petter, André 1 Jeffrey, David J. 1 Kotsireas, Ilias S. 1 McClain, Marjorie A. 1 Moroz, Guillaume 1 Mueller, Olaf 1 Nöcker, Michael 1 Saunders, Bonita V. 1 Schubotz, Moritz 1 Storjohann, Arne 1 Youssef, Abdou S. 1 Zima, Eugene V.
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#### Serials

 1 Mathematics of Computation 1 SIGSAM Bulletin 1 Applicable Algebra in Engineering, Communication and Computing 1 Lecture Notes in Computer Science 1 Communications in Computer and Information Science 1 ACM Communications in Computer Algebra
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#### Fields

 16 Computer science (68-XX) 7 Numerical analysis (65-XX) 6 Number theory (11-XX) 5 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

13 Publications have been cited 542 times in 522 Documents Cited by Year
Modern computer algebra. Zbl 0936.11069
von zur Gathen, Joachim; Gerhard, Jürgen
1999
Modern computer algebra. 2nd ed. Zbl 1055.68168
von zur Gathen, Joachim; Gerhard, Jürgen
2003
Modern computer algebra. 3rd ed. Zbl 1277.68002
von zur Gathen, Joachim; Gerhard, Jürgen
2013
Fast algorithms for Taylor shifts and certain difference equations. (Extended abstract). Zbl 1005.68996
von zur Gathen, Joachim; Gerhard, Jürgen
1997
MuPAD tutorial. A version and platform independent introduction. English ed. Zbl 1007.68211
Gerhard, Jürgen; Oevel, Walter; Postel, Frank; Wehmeier, Stefan
2000
Arithmetic and factorization of polynomials over $$\mathbb{F}_2$$. (Extended abstract). Zbl 0920.11083
von zur Gathen, Joachim; Gerhard, Jürgen
1996
Modular algorithms in symbolic summation and symbolic integration. Zbl 1131.68121
Gerhard, Jürgen
2005
Polynomial factorization over $${\mathbb F}_2$$. Zbl 1001.68203
von zur Gathen, Joachim; Gerhard, Jürgen
2002
A package for solving parametric polynomial systems. Zbl 1322.68281
Gerhard, Jürgen; Jeffrey, D. J.; Moroz, Guillaume
2009
Shiftless decomposition and polynomial-time rational summation. Zbl 1072.68668
Gerhard, J.; Giesbrecht, M.; Storjohann, A.; Zima, E. V.
2003
Factoring a binary polynomial of degree over one million. Zbl 1054.65047
Bonorden, Olaf; von zur Gathen, Joachim; Gerhard, Jürgen; Müller, Olaf; Nöcker, Michael
2001
Fast modular algorithms for squarefree factorization and Hermite integration. Zbl 0987.11078
Gerhard, Jürgen
2001
Semantic preserving bijective mappings of mathematical formulae between document preparation systems and computer algebra systems. Zbl 1367.68333
Cohl, Howard S.; Schubotz, Moritz; Youssef, Abdou; Greiner-Petter, André; Gerhard, Jürgen; Saunders, Bonita V.; McClain, Marjorie A.; Bang, Joon; Chen, Kevin
2017
Semantic preserving bijective mappings of mathematical formulae between document preparation systems and computer algebra systems. Zbl 1367.68333
Cohl, Howard S.; Schubotz, Moritz; Youssef, Abdou; Greiner-Petter, André; Gerhard, Jürgen; Saunders, Bonita V.; McClain, Marjorie A.; Bang, Joon; Chen, Kevin
2017
Modern computer algebra. 3rd ed. Zbl 1277.68002
von zur Gathen, Joachim; Gerhard, Jürgen
2013
A package for solving parametric polynomial systems. Zbl 1322.68281
Gerhard, Jürgen; Jeffrey, D. J.; Moroz, Guillaume
2009
Modular algorithms in symbolic summation and symbolic integration. Zbl 1131.68121
Gerhard, Jürgen
2005
Modern computer algebra. 2nd ed. Zbl 1055.68168
von zur Gathen, Joachim; Gerhard, Jürgen
2003
Shiftless decomposition and polynomial-time rational summation. Zbl 1072.68668
Gerhard, J.; Giesbrecht, M.; Storjohann, A.; Zima, E. V.
2003
Polynomial factorization over $${\mathbb F}_2$$. Zbl 1001.68203
von zur Gathen, Joachim; Gerhard, Jürgen
2002
Factoring a binary polynomial of degree over one million. Zbl 1054.65047
Bonorden, Olaf; von zur Gathen, Joachim; Gerhard, Jürgen; Müller, Olaf; Nöcker, Michael
2001
Fast modular algorithms for squarefree factorization and Hermite integration. Zbl 0987.11078
Gerhard, Jürgen
2001
MuPAD tutorial. A version and platform independent introduction. English ed. Zbl 1007.68211
Gerhard, Jürgen; Oevel, Walter; Postel, Frank; Wehmeier, Stefan
2000
Modern computer algebra. Zbl 0936.11069
von zur Gathen, Joachim; Gerhard, Jürgen
1999
Fast algorithms for Taylor shifts and certain difference equations. (Extended abstract). Zbl 1005.68996
von zur Gathen, Joachim; Gerhard, Jürgen
1997
Arithmetic and factorization of polynomials over $$\mathbb{F}_2$$. (Extended abstract). Zbl 0920.11083
von zur Gathen, Joachim; Gerhard, Jürgen
1996
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#### Cited by 672 Authors

 34 Schost, Éric 17 Lecerf, Grégoire 17 Shparlinski, Igor E. 14 van der Hoeven, Joris 12 Bostan, Alin 12 Harvey, David I. 10 Demiralp, Metin 10 Giesbrecht, Mark W. 10 Jeronimo, Gabriela 10 Sagraloff, Michael 10 Storjohann, Arne 9 Chèze, Guillaume 9 Pan, Victor Yakovlevich 9 Tsigaridas, Elias P. 9 von zur Gathen, Joachim 8 Salvy, Bruno 7 Matera, Guillermo 7 Sutherland, Andrew V. 7 Tunga, Burcu 6 Alcazar, Juan Gerardo 6 Gao, Shuhong 6 Gaudry, Pierrick 6 Sabia, Juan 6 Villard, Gilles 5 D’Andrea, Carlos 5 Doliskani, Javad 5 Faugère, Jean-Charles 5 Gashkov, Sergey B. 5 Jeannerod, Claude-Pierre 5 Labahn, George 5 Moreno Maza, Marc 5 Mourrain, Bernard 5 Rouillier, Fabrice 5 Szántó, Ágnes 4 Emiris, Ioannis Z. 4 Gutierrez, Jaime 4 Kaltofen, Erich L. 4 Krick, Teresa 4 Lauder, Alan G. B. 4 Lazard, Sylvain 4 Monagan, Michael B. 4 Panario, Daniel 4 Perrucci, Daniel 4 Pouget, Marc 4 Safey El Din, Mohab 4 Sedjelmaci, Sidi Mohamed 4 Sergeev, Igor’ Sergeevich 4 Weimann, Martin 4 Winterhof, Arne 3 Berthomieu, Jérémy 3 Bröker, Reinier 3 Caravantes, Jorge 3 Chen, Jingwei 3 Cheon, Jung Hee 3 Cluzeau, Thomas 3 Cortadellas Benítez, Teresa 3 Coxon, Nicholas 3 De Feo, Luca 3 Díaz-Toca, Gema María 3 Emelyanov, Pavel G. 3 Enge, Andreas 3 Feng, Yong 3 Galligo, André 3 Gao, Xiaoshan 3 Hashemi, Amir 3 Hermoso Ortiz, Carlos 3 Hubrechts, Hendrik 3 Jacobson, Michael John jun. 3 Joosten, Sebastiaan J. C. 3 Karpinski, Marek 3 Kauers, Manuel 3 Klüners, Jürgen 3 Mehlhorn, Kurt 3 Morain, François 3 Mullen, Gary L. 3 Neiger, Vincent 3 Nelson, Jelani 3 Ostafe, Alina 3 Pernet, Clément 3 Poteaux, Adrien 3 Roche, Daniel S. 3 Sevilla, David 3 Solernó, Pablo 3 Thiemann, René 3 Thomé, Emmanuel 3 Tunga, M. Alper 3 Vallée, Brigitte 3 Villada, Luis Miguel 3 Wilson, James B. 3 Xu, Guangwu 3 Yamada, Akihisa 3 Zima, Eugene V. 2 Allem, Luiz Emilio 2 Aronov, Boris 2 Arvind, Vikraman 2 Bäärnhielm, Henrik 2 Barkatou, Moulay A. 2 Barnett, Michael P. 2 Bauch, Jens-Dietrich 2 Belabas, Karim ...and 572 more Authors
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#### Cited in 112 Serials

 112 Journal of Symbolic Computation 47 Mathematics of Computation 32 Journal of Complexity 23 Theoretical Computer Science 17 Finite Fields and their Applications 14 Journal of Algebra 12 Applicable Algebra in Engineering, Communication and Computing 11 Foundations of Computational Mathematics 10 Linear Algebra and its Applications 10 Journal of Mathematical Chemistry 9 Designs, Codes and Cryptography 7 Information Processing Letters 7 Computational Complexity 7 LMS Journal of Computation and Mathematics 6 Journal of Computational and Applied Mathematics 6 Journal of Number Theory 6 Programming and Computer Software 5 Computers & Mathematics with Applications 5 Algorithmica 5 Experimental Mathematics 5 Mathematics in Computer Science 4 Applied Mathematics and Computation 4 Computer Aided Geometric Design 4 Journal of Automated Reasoning 3 Discrete Applied Mathematics 3 Discrete & Computational Geometry 3 Information and Computation 3 Journal of Cryptology 3 Computational Geometry 3 Journal de Théorie des Nombres de Bordeaux 3 International Journal of Number Theory 3 Advances in Mathematics of Communications 2 American Mathematical Monthly 2 Moscow University Mathematics Bulletin 2 Journal of Combinatorial Theory. Series A 2 Acta Applicandae Mathematicae 2 International Journal of Algebra and Computation 2 Numerical Algorithms 2 Journal of Mathematical Sciences (New York) 2 Abstract and Applied Analysis 2 Annals of Mathematics. Second Series 2 Journal of Systems Science and Complexity 2 Journal of Algebra and its Applications 2 Journal of Discrete Algorithms 2 International Journal of Quantum Chemistry 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Computer Physics Communications 1 International Journal of Control 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Nuclear Physics. B 1 Physics Letters. B 1 Bulletin of Mathematical Biology 1 Journal of Geometry and Physics 1 Computing 1 Illinois Journal of Mathematics 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Operations Research 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Revista de la Unión Matemática Argentina 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Science of Computer Programming 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 International Journal of Computational Geometry & Applications 1 International Journal of Foundations of Computer Science 1 Discrete Mathematics and Applications 1 Expositiones Mathematicae 1 Archive for Mathematical Logic 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Algebraic Combinatorics 1 Computational and Applied Mathematics 1 The Electronic Journal of Combinatorics 1 Annals of Mathematics and Artificial Intelligence 1 Sbornik: Mathematics 1 Journal of Combinatorial Optimization 1 Journal of the ACM 1 Annals of Combinatorics 1 Mechanism and Machine Theory 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré 1 Miscelánea Matemática 1 Quantum Information Processing 1 Analysis in Theory and Applications 1 Advances in Difference Equations ...and 12 more Serials
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#### Cited in 48 Fields

 255 Computer science (68-XX) 187 Number theory (11-XX) 111 Numerical analysis (65-XX) 98 Commutative algebra (13-XX) 89 Field theory and polynomials (12-XX) 82 Algebraic geometry (14-XX) 49 Information and communication theory, circuits (94-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 19 Combinatorics (05-XX) 15 Ordinary differential equations (34-XX) 11 Group theory and generalizations (20-XX) 11 Approximations and expansions (41-XX) 10 Special functions (33-XX) 10 Quantum theory (81-XX) 9 Real functions (26-XX) 8 Associative rings and algebras (16-XX) 8 Statistics (62-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Functions of a complex variable (30-XX) 6 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Mathematical logic and foundations (03-XX) 5 Partial differential equations (35-XX) 5 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Systems theory; control (93-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX)