Edit Profile (opens in new tab) Gordan, Paul Albert Compute Distance To: Compute Author ID: gordan.paul Published as: Gordan, P.; Gordan; Gordan, Paul Albert; Gordan, Paul External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 82 Publications since 1866, including 3 Books Biographic References: 5 Publications Co-Authors: 3 Co-Authors with 6 Joint Publications 16 Co-Co-Authors Co-Authors 74 single-authored 4 Clebsch, Alfred 2 Kerschensteiner, Georg 1 Alekseev, Vissarion Grigor’evich 1 Noether, Max all top 5 Serials 40 Mathematische Annalen 4 Journal für die Reine und Angewandte Mathematik 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Transactions of the American Mathematical Society 2 Rendiconti del Circolo Matematico di Palermo 2 Annali di Matematica Pura ed Applicata. II. Serie 2 Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse 2 Journal de Mathématiques Pures et Appliquées. 5. Série 1 SIGSAM Bulletin 1 Prace Matematyczno-Fizyczne 1 (Schlömilch’s) Zeitschrift für Mathematik und Physik 1 Nachrichten von der Königlichen Gesellschaft der Wissenschaften und der Georg-Augusts-Universität zu Göttingen 1 Journal de Mathématiques Pures et Appliquées. 4. Série all top 5 Fields 16 Number theory (11-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 4 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Functions of a complex variable (30-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 245 times in 229 Documents Cited by ▼ Year ▼ About solving linear equations with real coefficients. (Ueber die Auflösung linearer Gleichungen mit reellen Coefficienten.) JFM 05.0095.01Gordan, P. 70 1873 Ueber die algebraischen Formen, deren Hesse’sche Determinante identisch verschwindet. JFM 08.0064.05Gordan, P.; Nöther, M. 49 1876 Proof that each covariant and each invariant of a binary form is an entire function, with numerical coefficients, of finitely many such forms. (Beweis, dass jede Covariante und Invariante einer binären Form eine ganze Function mit numerischen Coefficienten einer endlichen Zahl solcher Formen ist.) JFM 01.0046.01Gordan 23 1868 Vorlesungen über Invariantentheorie. Herausgegeben von G. Kerschensteiner. Zweiter Band: Binäre Formen. 360 S. JFM 19.0099.01Gordan, P. 10 1887 Ueber die Theorie der ternären cubischen Formen. JFM 02.0064.01Clebsch, A.; Gordan, P. 9 1869 Ueber die Auflösung der Gleichungen vom fünften Grade. JFM 10.0065.01Gordan, P. 8 1878 Das Zerfallen der Curven in gerade Linien. JFM 25.1086.02Gordan, P. 8 1894 Ueber biquadratische Gleichungen. JFM 19.0078.04Gordan, P. 8 1887 Neuer Beweis des Hilbert’schen Satzes über homogene Functionen. JFM 30.0113.01Gordan, P. 7 1899 About the greatest common factor. (Ueber den grössten gemeinsamen Factor.) JFM 06.0090.01Gordan, P. 5 1874 Proof that each covariant and each invariant of a binary form is an entire functon, with numerical coefficients, of finitely many such forms. (Beweis, dass jede Covariante und Invatiante einer binären Form eine ganze Function mit numerischen Coefficienten einer endlichen Anzahl solcher Formen ist.) JFM 01.0060.01Gordan 5 1868 Les invariants des formes binaires. JFM 31.0108.01Gordan, P. 4 1900 Das simultane System von zwei quadratischen quaternären Formen. JFM 33.0130.02Gordan, P. 3 1903 Ueber einen Satz von Hilbert. JFM 25.0175.01Gordan, P. 3 1893 On combinants. (Ueber Combinanten.) JFM 04.0061.01Gordan, P. 3 1872 On the formation of the resultant of two equations. (Ueber die Bildung der Resultante zweier Gleichungen.) JFM 03.0059.01Gordan, P. 3 1871 Ueber die Invarianten binärer Formen bei höheren Transformationen. JFM 02.0069.01Gordan, P. 3 1870 Ueber Gleichungen siebenten Grades mit einer Gruppe von 168 Substitutionen. JFM 14.0080.03Gordan, P. 2 1882 About cubic ternary forms. (Ueber cubische ternäre Formen.) JFM 05.0096.01Clebsch, A.; Gordan, P. 2 1873 Die Resultante binärer Formen. JFM 37.0192.08Gordan, P. 2 1906 Die simultanen Systeme binärer Formen. JFM 02.0059.01Gordan, P. 2 1870 Vorlesungen über Invariantentheorie. 1. Band: Determinanten. 2. Band: Binäre Formen. Hrsg. von Georg Kerschensteiner. 2. Aufl. (in 1 Band). (Lectures on the theory of invariants. Vol. 1: determinants. Vol. 2: binary forms. Ed. by G. Kerschensteiner. 2nd ed.). Zbl 0652.01037Gordan, Paul 2 1987 Ueber Büschel von Kegelschnitten. JFM 14.0080.01Gordan, P. 1 1881 Ueber Bündel von Kegelschnitten. JFM 14.0603.03Gordan, P. 1 1881 Typische Darstellung der ternären biquadratischen Form \(f= x_1^3 x_2 + x_2^3 x_3 + x_3^3 x_1\). JFM 12.0096.02Gordan, P. 1 1880 Ueber endliche Gruppen linearer Transformationen einer Veränderlichen. JFM 09.0078.01Gordan, P. 1 1877 On the system of forms of binary forms. (Ueber das Formensystem binärer Formen.) JFM 07.0050.01Gordan, P. 1 1875 Über die Auflösung der Gleichungen sechsten Grades. JFM 36.0134.01Gordan, P. 1 1905 Formentheoretische Entwickelung der in Herrn White’s Abhandlung über Curven dritter Ordnung enthaltenen Sätze. JFM 31.0589.02Gordan, P. 1 1900 Die Hesse’sche und die Cayley’sche Curve. JFM 31.0589.04Gordan, P. 1 1900 Symmetrische Functionen. JFM 30.0160.02Gordan, P. 1 1899 Ueber unverzweigte lineare Differentialgleichungen der zweiten Ordnung auf ebenen Curven vierten Grades. JFM 26.0373.01Gordan, P. 1 1895 The transcendence of \(e\) and \(\pi\). (Transcendenz von \(e\) und \(\pi\).) JFM 25.0734.04Gordan, P. 1 1893 Das erweiterte Formensystem. JFM 21.0105.01Gordan, P. 1 1889 Ueber Gleichungen siebenten Grades mit einer Gruppe von 168 Substitutionen. II. JFM 17.0072.01Gordan, P. 1 1884 On the typical representation of the binary form. (Sulla rappresentazione tipica delle forme binarie.) JFM 01.0058.01Clebsch, Alfred; Gordan, Paul 1 1867 Vorlesungen über Invariantentheorie. 1. Band: Determinanten. 2. Band: Binäre Formen. Hrsg. von Georg Kerschensteiner. 2. Aufl. (in 1 Band). (Lectures on the theory of invariants. Vol. 1: determinants. Vol. 2: binary forms. Ed. by G. Kerschensteiner. 2nd ed.). Zbl 0652.01037Gordan, Paul 2 1987 Die Resultante binärer Formen. JFM 37.0192.08Gordan, P. 2 1906 Über die Auflösung der Gleichungen sechsten Grades. JFM 36.0134.01Gordan, P. 1 1905 Das simultane System von zwei quadratischen quaternären Formen. JFM 33.0130.02Gordan, P. 3 1903 Les invariants des formes binaires. JFM 31.0108.01Gordan, P. 4 1900 Formentheoretische Entwickelung der in Herrn White’s Abhandlung über Curven dritter Ordnung enthaltenen Sätze. JFM 31.0589.02Gordan, P. 1 1900 Die Hesse’sche und die Cayley’sche Curve. JFM 31.0589.04Gordan, P. 1 1900 Neuer Beweis des Hilbert’schen Satzes über homogene Functionen. JFM 30.0113.01Gordan, P. 7 1899 Symmetrische Functionen. JFM 30.0160.02Gordan, P. 1 1899 Ueber unverzweigte lineare Differentialgleichungen der zweiten Ordnung auf ebenen Curven vierten Grades. JFM 26.0373.01Gordan, P. 1 1895 Das Zerfallen der Curven in gerade Linien. JFM 25.1086.02Gordan, P. 8 1894 Ueber einen Satz von Hilbert. JFM 25.0175.01Gordan, P. 3 1893 The transcendence of \(e\) and \(\pi\). (Transcendenz von \(e\) und \(\pi\).) JFM 25.0734.04Gordan, P. 1 1893 Das erweiterte Formensystem. JFM 21.0105.01Gordan, P. 1 1889 Vorlesungen über Invariantentheorie. Herausgegeben von G. Kerschensteiner. Zweiter Band: Binäre Formen. 360 S. JFM 19.0099.01Gordan, P. 10 1887 Ueber biquadratische Gleichungen. JFM 19.0078.04Gordan, P. 8 1887 Ueber Gleichungen siebenten Grades mit einer Gruppe von 168 Substitutionen. II. JFM 17.0072.01Gordan, P. 1 1884 Ueber Gleichungen siebenten Grades mit einer Gruppe von 168 Substitutionen. JFM 14.0080.03Gordan, P. 2 1882 Ueber Büschel von Kegelschnitten. JFM 14.0080.01Gordan, P. 1 1881 Ueber Bündel von Kegelschnitten. JFM 14.0603.03Gordan, P. 1 1881 Typische Darstellung der ternären biquadratischen Form \(f= x_1^3 x_2 + x_2^3 x_3 + x_3^3 x_1\). JFM 12.0096.02Gordan, P. 1 1880 Ueber die Auflösung der Gleichungen vom fünften Grade. JFM 10.0065.01Gordan, P. 8 1878 Ueber endliche Gruppen linearer Transformationen einer Veränderlichen. JFM 09.0078.01Gordan, P. 1 1877 Ueber die algebraischen Formen, deren Hesse’sche Determinante identisch verschwindet. JFM 08.0064.05Gordan, P.; Nöther, M. 49 1876 On the system of forms of binary forms. (Ueber das Formensystem binärer Formen.) JFM 07.0050.01Gordan, P. 1 1875 About the greatest common factor. (Ueber den grössten gemeinsamen Factor.) JFM 06.0090.01Gordan, P. 5 1874 About solving linear equations with real coefficients. (Ueber die Auflösung linearer Gleichungen mit reellen Coefficienten.) JFM 05.0095.01Gordan, P. 70 1873 About cubic ternary forms. (Ueber cubische ternäre Formen.) JFM 05.0096.01Clebsch, A.; Gordan, P. 2 1873 On combinants. (Ueber Combinanten.) JFM 04.0061.01Gordan, P. 3 1872 On the formation of the resultant of two equations. (Ueber die Bildung der Resultante zweier Gleichungen.) JFM 03.0059.01Gordan, P. 3 1871 Ueber die Invarianten binärer Formen bei höheren Transformationen. JFM 02.0069.01Gordan, P. 3 1870 Die simultanen Systeme binärer Formen. JFM 02.0059.01Gordan, P. 2 1870 Ueber die Theorie der ternären cubischen Formen. JFM 02.0064.01Clebsch, A.; Gordan, P. 9 1869 Proof that each covariant and each invariant of a binary form is an entire function, with numerical coefficients, of finitely many such forms. (Beweis, dass jede Covariante und Invariante einer binären Form eine ganze Function mit numerischen Coefficienten einer endlichen Zahl solcher Formen ist.) JFM 01.0046.01Gordan 23 1868 Proof that each covariant and each invariant of a binary form is an entire functon, with numerical coefficients, of finitely many such forms. (Beweis, dass jede Covariante und Invatiante einer binären Form eine ganze Function mit numerischen Coefficienten einer endlichen Anzahl solcher Formen ist.) JFM 01.0060.01Gordan 5 1868 On the typical representation of the binary form. (Sulla rappresentazione tipica delle forme binarie.) JFM 01.0058.01Clebsch, Alfred; Gordan, Paul 1 1867 all cited Publications top 5 cited Publications all top 5 Cited by 298 Authors 11 de Bondt, Michiel 8 Gondim, Rodrigo 8 Weismantel, Robert 7 Abdesselam, Abdelmalek 5 Chipalkatti, Jaydeep V. 5 van den Essen, Arno 4 Fukshansky, Lenny 4 Olive, Marc 4 Simis, Aron 3 Ben-Israel, Adi 3 Brouwer, Andries Evert 3 Claus, Matthias 3 Cutler, Anthony M. 3 Guan, Yonghui 3 Ilardi, Giovanna 3 Lercier, Reynald 3 McKinley, Tom 3 Onn, Shmuel 3 Popoviciu, Mihaela 3 Russo, Francesco 3 Shekhtman, Boris 2 Bartl, David 2 Berman, Abraham S. 2 Burtscheidt, Johanna 2 Canfield, E. Rodney 2 Craven, Bruce Desmond 2 Dax, Achiya 2 Desmorat, Rodrigue 2 Dixmier, Jacques 2 El Gradechi, Amine M. 2 Fassarella, Thiago 2 Fedorov, Yuri N. 2 Ferapontov, Evgeny Vladimirovich 2 Freudenburg, Gene 2 Furter, Jean-Philippe 2 Henk, Martin 2 Huh, June 2 Inoue, Tomoki 2 Ivanov, Vsevolod Ivanov 2 King, Robert Bruce 2 Kolev, Boris 2 Lee, Jon 2 Mond, Bertram 2 Murota, Kazuo 2 Pevzner, Michael 2 Ritzenthaler, Christophe 2 Ruiz Galán, Manuel 2 Schulte, Egon 2 Siersma, Dirk 2 Sun, Xiaosong 2 Tibăr, Mihai-Marius 2 Van der Waerden, Bartel Leendert 2 Washburn, Sherwood 2 Watanabe, Junzo 2 Wills, Jörg M. 1 Aardal, Karen I. 1 Abdiel, Nel 1 Adler, Ilan 1 Agafonov, Sergey I. 1 Altafi, Nasrin 1 Ansary, Md Abu Talhamainuddin 1 Arutyunov, Aram Vladimirovic 1 Auffray, Nicolas 1 Averkov, Gennadiy 1 Bauer, Michel 1 Bavula, Vladimir V. 1 Ben Geloun, Joseph 1 Bennett, Michael A. 1 Bermejo, Isabel 1 Bernardi, Alessandra 1 Berstein, Yael 1 Beshaj, Lubjana 1 Bhattacharyya, Shankar Prashad 1 Binyamin, Muhammad Ahsan 1 Boij, Mats 1 Borisov, Alekseĭ Vladimirovich 1 Brini, Andrea 1 Brookfield, Gary 1 Bruns, Winfried 1 Brusotti, Luigi 1 Capasso, Armando 1 Caracciolo, Sergio 1 Ceria, Michela 1 Cerminara, Armando 1 Chan, Wai Kiu 1 Chatterjee, Krishnendu 1 Cheung, Dennis 1 Chèze, Guillaume 1 Christian, Jim 1 Chu, Teresa H. 1 Cicalese, Ferdinando 1 Ciliberto, Ciro 1 Cohen, Edith 1 Cordeiro, James D. 1 Costa, Barbara 1 Cox, David A. 1 Crilly, Tony 1 Cucker, Felipe 1 Cunha, Rainelly 1 Dahmen, Sander R. ...and 198 more Authors all top 5 Cited in 119 Serials 15 Journal of Pure and Applied Algebra 12 Journal of Algebra 8 Mathematische Annalen 8 Journal of Symbolic Computation 8 Linear Algebra and its Applications 5 Archive for History of Exact Sciences 5 Advances in Applied Mathematics 4 Discrete Mathematics 4 Beiträge zur Algebra und Geometrie 4 Advances in Mathematics 4 Journal of Optimization Theory and Applications 3 Communications in Algebra 3 Journal of Mathematical Physics 3 Linear and Multilinear Algebra 3 Transactions of the American Mathematical Society 3 Operations Research Letters 3 European Journal of Operational Research 3 Bulletin of the American Mathematical Society. New Series 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Discrete Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Nuclear Physics. B 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Collectanea Mathematica 2 Journal of Mathematical Economics 2 Journal of Number Theory 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Topology and its Applications 2 Optimization 2 Algorithmica 2 Annals of Operations Research 2 Mathematical Programming. Series A. Series B 2 Journal of Knot Theory and its Ramifications 2 SIAM Journal on Optimization 2 Mathematical Methods of Operations Research 2 Monatshefte für Mathematik und Physik 2 Rendiconti del Circolo Matematico di Palermo 2 Research in the Mathematical Sciences 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Game Theory 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Journal of Economic Theory 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematical Programming 1 Nagoya Mathematical Journal 1 Numerische Mathematik 1 Operations Research 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Acta Mathematica Hungarica 1 Journal of Complexity 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 Aequationes Mathematicae 1 Historia Mathematica 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Archive for Mathematical Logic 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering ...and 19 more Serials all top 5 Cited in 50 Fields 66 Algebraic geometry (14-XX) 49 Commutative algebra (13-XX) 41 Operations research, mathematical programming (90-XX) 22 Number theory (11-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 19 Combinatorics (05-XX) 16 Computer science (68-XX) 13 Convex and discrete geometry (52-XX) 10 History and biography (01-XX) 10 Topological groups, Lie groups (22-XX) 9 Field theory and polynomials (12-XX) 8 Group theory and generalizations (20-XX) 8 Geometry (51-XX) 8 Differential geometry (53-XX) 7 Quantum theory (81-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 5 Associative rings and algebras (16-XX) 5 Nonassociative rings and algebras (17-XX) 5 Partial differential equations (35-XX) 5 Approximations and expansions (41-XX) 5 Manifolds and cell complexes (57-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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