Edit Profile (opens in new tab) Lucas, Édouard Compute Distance To: Compute Author ID: lucas.edouard Published as: Lucas, E.; Lucas, Ed.; Lucas, Éd.; Lucas, Edouard; Lucas, Édouard more...less Further Spellings: Lucas, François Édouard Anatole External Links: MacTutor · Wikidata · GND · IdRef Documents Indexed: 119 Publications since 1870, including 10 Books Biographic References: 4 Publications Co-Authors: 3 Co-Authors with 3 Joint Publications 219 Co-Co-Authors Co-Authors 116 single-authored 1 Catalan, Eugène-Charles 1 Main, J. 1 Sharp, W. J. Curran all top 5 Serials 17 Nouvelle Correspondance Mathématique 10 Mathesis 9 Bulletin de la Société Mathématique de France 9 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 American Journal of Mathematics 2 Atti della Accademia delle Scienze di Torino 2 Annali di Matematica Pura ed Applicata. II. Serie 1 Tidsskrift for Mathematik. 3. Serie 1 Mathesis. Deuxième Série all top 5 Fields 68 Number theory (11-XX) 27 Geometry (51-XX) 8 Algebraic geometry (14-XX) 7 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 319 times in 299 Documents Cited by ▼ Year ▼ The theory of simply periodic functions. (Théorie des fonctions numériques simplement périodiques.) JFM 10.0134.05Lucas, Edouard 145 1878 On the congruences of Euler numbers and the differential coefficients of trigonometric functions with respect to a prime modulus. (Sur les congruences des nombres eulériens et les coefficients différentiels des functions trigonométriques suivant un module premier.) JFM 10.0139.04Lucas, E. 82 1878 Mathematical recreations. (Récréations mathématiques.) JFM 15.0158.01Lucas, E. 32 1882 Théorie des nombres. Tome premier: Le calcul des nombres entiers. Le calcul des nombres rationnels. La divisibilité arithmétique. Zbl 0098.03601Lucas, Edouard 10 1961 Number Theory. Vol. I. Calculus of integers. Calculus of rational numbers. Arithmetical divisibility. (Théorie des nombres. Tome \(I^{\text{er}}\). Le calcul des nombres entiers. Le calcul des nombres rationnels. La divisibilité arithmétique.) JFM 23.0174.02Lucas, Ed. 8 1891 Récréations mathématiques. 2ième éd., nouveau tirage. Zbl 0088.00101Lucas, Édouard 4 1960 On series expansions. (Sur les développements en séries.) JFM 10.0191.01Lucas, E. 3 1878 On the similarity between number theory and integral calculus. (Sur les rapports qui existent entre la théorie des nombres et le calcul intégral.) JFM 08.0081.01Lucas, E. 3 1876 Théorie des nombres. Le calcul des nombres entiers. Le calcul des nombres rationnels. La divisibilité arithmétique. Nouveau tirage. Zbl 0464.10001Lucas, Edouard 2 1979 Récréations mathématiques. 2e édition. Tome II. JFM 27.0190.06Lucas, E. 2 1896 mathematical recreations. (Récréations mathématiques. Tome I. 2\(^{\text e}\) éd.) JFM 23.0231.03Lucas, Ed. 2 1891 On the indeterminate analysis of the third degree. Proof of several theorems of Mr. Sylvester. (Sur l’analyse indéterminée du troisième degré. Démonstration de plusieurs théorèmes de M. Sylvester.) JFM 11.0135.01Lucas, E. 2 1879 Theorems in arithmetic. (Théorèmes d’arithmétique.) JFM 10.0136.01Lucas, E. 2 1878 On Farey sequences. (Sur les suites de Farey.) JFM 10.0149.05Lucas, E. 2 1878 Investigation of several works of Leonardo of Pisa and diverse questions in higher arithmetic. (Recherches sur plusieurs ouvrages de Léonard de Pise et sur diverses questions d’arithmétique supérieure.) JFM 09.0111.02Lucas, E. 2 1877 A new theory of Bernoulli and Euler numbers. (Théorie nouvelle des nombres de Bernoulli et d’Euler.) JFM 09.0186.01Lucas, Ed. 2 1877 Note on some new theorems of higher arithmetic. (Note sur nouveaux théorèmes d’arithmétique supérieure.) JFM 08.0081.02Lucas, E. 2 1877 L’arithmétique amusante. Nouveau tirage. Zbl 0287.00001Lucas, Edouard 2 1974 L’arithmétique amusante. Introduction aux Récréations mathématiques. Amusements scientifiques pour l’enseignement et la pratique du calcul. JFM 26.0256.04Lucas, Éd. 1 1895 Mathematical recreations. (Récréations mathématiques. T. III et IV.) JFM 25.0336.04Lucas, Éd. 1 1893 Sur la généralisation du théorème de Fermat. JFM 15.0142.03Lucas, E. 1 1883 On the new formulas of Seidel and Stern concerning the Bernoulli numbers. (Sur les nouvelles formules de MM. Seidel et Stern, concernant les nombres de Bernoulli.) JFM 12.0194.03Lucas, Ed. 1 1880 On the recurring sequence of Fermat. (Sur la série récurrente de Fermat.) JFM 10.0121.02Lucas, E. 1 1878 Theorem on the geometry of the chess board. (Théorème sur la géométrie des quinconces.) JFM 10.0144.01Lucas, E. 1 1878 On the development of \(\left( \frac z{1-e^{-z}} \right)^{\alpha}\) in a series. JFM 09.0188.02Lucas, E. 1 1877 On the theory of simply periodic numerical functions. (Sur la théorie des fonctions numériques, simplement périodiques.) JFM 09.0311.01Lucas, E. 1 1877 On a problem of Euler related to magic squares. (Sur un problème d’Euler, relatif aux carrés magiques.) JFM 08.0090.03Lucas, Ed. 1 1876 New theory of Bernoulli and Euler numbers. (Théorie nouvelle des nombres de Bernoulli et d’Euler.) JFM 08.0143.01Lucas, E. 1 1877 On the employment of symbolic calculus in the theory of recurrent series. (Sur l’emploi du calcul symbolique dans la théorie des séries recurrentes.) JFM 08.0150.04Lucas, Ed. 1 1876 De la trisection de l’angle à l’aide du compas. JFM 07.0350.05Lucas, E. 1 1875 Théorie des nombres. Le calcul des nombres entiers. Le calcul des nombres rationnels. La divisibilité arithmétique. Nouveau tirage. Zbl 0464.10001Lucas, Edouard 2 1979 L’arithmétique amusante. Nouveau tirage. Zbl 0287.00001Lucas, Edouard 2 1974 Théorie des nombres. Tome premier: Le calcul des nombres entiers. Le calcul des nombres rationnels. La divisibilité arithmétique. Zbl 0098.03601Lucas, Edouard 10 1961 Récréations mathématiques. 2ième éd., nouveau tirage. Zbl 0088.00101Lucas, Édouard 4 1960 Récréations mathématiques. 2e édition. Tome II. JFM 27.0190.06Lucas, E. 2 1896 L’arithmétique amusante. Introduction aux Récréations mathématiques. Amusements scientifiques pour l’enseignement et la pratique du calcul. JFM 26.0256.04Lucas, Éd. 1 1895 Mathematical recreations. (Récréations mathématiques. T. III et IV.) JFM 25.0336.04Lucas, Éd. 1 1893 Number Theory. Vol. I. Calculus of integers. Calculus of rational numbers. Arithmetical divisibility. (Théorie des nombres. Tome \(I^{\text{er}}\). Le calcul des nombres entiers. Le calcul des nombres rationnels. La divisibilité arithmétique.) JFM 23.0174.02Lucas, Ed. 8 1891 mathematical recreations. (Récréations mathématiques. Tome I. 2\(^{\text e}\) éd.) JFM 23.0231.03Lucas, Ed. 2 1891 Sur la généralisation du théorème de Fermat. JFM 15.0142.03Lucas, E. 1 1883 Mathematical recreations. (Récréations mathématiques.) JFM 15.0158.01Lucas, E. 32 1882 On the new formulas of Seidel and Stern concerning the Bernoulli numbers. (Sur les nouvelles formules de MM. Seidel et Stern, concernant les nombres de Bernoulli.) JFM 12.0194.03Lucas, Ed. 1 1880 On the indeterminate analysis of the third degree. Proof of several theorems of Mr. Sylvester. (Sur l’analyse indéterminée du troisième degré. Démonstration de plusieurs théorèmes de M. Sylvester.) JFM 11.0135.01Lucas, E. 2 1879 The theory of simply periodic functions. (Théorie des fonctions numériques simplement périodiques.) JFM 10.0134.05Lucas, Edouard 145 1878 On the congruences of Euler numbers and the differential coefficients of trigonometric functions with respect to a prime modulus. (Sur les congruences des nombres eulériens et les coefficients différentiels des functions trigonométriques suivant un module premier.) JFM 10.0139.04Lucas, E. 82 1878 On series expansions. (Sur les développements en séries.) JFM 10.0191.01Lucas, E. 3 1878 Theorems in arithmetic. (Théorèmes d’arithmétique.) JFM 10.0136.01Lucas, E. 2 1878 On Farey sequences. (Sur les suites de Farey.) JFM 10.0149.05Lucas, E. 2 1878 On the recurring sequence of Fermat. (Sur la série récurrente de Fermat.) JFM 10.0121.02Lucas, E. 1 1878 Theorem on the geometry of the chess board. (Théorème sur la géométrie des quinconces.) JFM 10.0144.01Lucas, E. 1 1878 Investigation of several works of Leonardo of Pisa and diverse questions in higher arithmetic. (Recherches sur plusieurs ouvrages de Léonard de Pise et sur diverses questions d’arithmétique supérieure.) JFM 09.0111.02Lucas, E. 2 1877 A new theory of Bernoulli and Euler numbers. (Théorie nouvelle des nombres de Bernoulli et d’Euler.) JFM 09.0186.01Lucas, Ed. 2 1877 Note on some new theorems of higher arithmetic. (Note sur nouveaux théorèmes d’arithmétique supérieure.) JFM 08.0081.02Lucas, E. 2 1877 On the development of \(\left( \frac z{1-e^{-z}} \right)^{\alpha}\) in a series. JFM 09.0188.02Lucas, E. 1 1877 On the theory of simply periodic numerical functions. (Sur la théorie des fonctions numériques, simplement périodiques.) JFM 09.0311.01Lucas, E. 1 1877 New theory of Bernoulli and Euler numbers. (Théorie nouvelle des nombres de Bernoulli et d’Euler.) JFM 08.0143.01Lucas, E. 1 1877 On the similarity between number theory and integral calculus. (Sur les rapports qui existent entre la théorie des nombres et le calcul intégral.) JFM 08.0081.01Lucas, E. 3 1876 On a problem of Euler related to magic squares. (Sur un problème d’Euler, relatif aux carrés magiques.) JFM 08.0090.03Lucas, Ed. 1 1876 On the employment of symbolic calculus in the theory of recurrent series. (Sur l’emploi du calcul symbolique dans la théorie des séries recurrentes.) JFM 08.0150.04Lucas, Ed. 1 1876 De la trisection de l’angle à l’aide du compas. JFM 07.0350.05Lucas, E. 1 1875 all cited Publications top 5 cited Publications all top 5 Cited by 486 Authors 5 Berend, Daniel 5 Winterhof, Arne 4 Luca, Florian 4 Varchenko, Alexander Nikolaevich 3 Allouche, Jean-Paul Simon 3 Caranti, Andrea 3 Coulter, Robert S. 3 Deng, Yingpu 3 Férard, Éric 3 Hernández, Daniel J. 3 Huang, Dandan 3 Meidl, Wilfried 3 Petersen, Karl E. 3 Sagan, Bruce Eli 3 Stevens, Brett 3 Straub, Armin 3 Ward, Morgan 3 Yang, Zifeng 2 Bailey, D. F. 2 Bajguz, Wiesław 2 Berrizbeitia, Pedro 2 Blagojević, Pavle V. M. 2 Bravo, Eric F. 2 Bravo, Jhon Jairo 2 Désarménien, Jacques 2 Dutka, Jacques 2 Erzurumluoğlu, Aras 2 Gao, Weidong 2 Hall, Marshall jun. 2 Han, Dongchun 2 Harrington, Joshua 2 Huang, I-Chiau 2 Jeong, Sangtae 2 Jurman, Giuseppe 2 Koiran, Pascal 2 Kurosawa, Takeshi 2 Kwaśniewski, A. K. K. 2 Lu, Mei 2 Marques, Diego 2 Mattarei, Sandro 2 Mikhalëv, Aleksandr Vasil’evich 2 Moshe, Yossi 2 Nechaev, Aleksandr Aleksandrovich 2 Newman, Michael Frederick 2 Panario, Daniel 2 Pomerance, Carl Bernard 2 Preece, Donald Arthur 2 Ramírez, José Luis 2 Rodger, Christopher Andrew 2 Sapir, Amir 2 Sinigallia, L. 2 Skordev, Gencho S. 2 Sprang, Johannes 2 Stewart, Cameron L. 2 Zhang, Hanbin 2 Ziegler, Günter Matthias 1 Abouzaid, Mourad 1 Adams, Peter J. 1 Adams, Terrence M. 1 Akbayrak, Osman 1 Akyüz, Zeynep 1 Alba González, Juan José 1 Allen, Edward E. 1 Amdeberhan, Tewodros 1 Anderson, Ian 1 Andrews, George Eyre 1 Aoki, Miho 1 Arana, Andrew 1 Ardal, Hayri 1 Armbruster, Ashley 1 Arzhantseva, Goulnara N. 1 Avvakumov, Sergey Ya. 1 Bäck, Per 1 Bahmanian, M. Amin 1 Bailey, Robert F. 1 Bailey, Rosemary A. 1 Baillie, Robert 1 Banderier, Cyril 1 Barger, Grace 1 Barnea, Yiftach 1 Bassa, Alp 1 Bassett, M. E. 1 Basu, Kanadpriya 1 Basu, Somnath 1 Beelen, Pieter Hendrik Turdus 1 Belbachir, Hacene 1 Bell, Eric Temple 1 Bell, Jordan 1 Bencherif, Farid 1 Bergman, Emily 1 Bersani, Alberto Maria 1 Berstel, Jean 1 Bès, Alexis 1 Bingham, Aram 1 Biswas, Arindam 1 Bitim, Bahar Demirtürk 1 Boix, Alberto Fernandez 1 Boshernitzan, Michael D. 1 Boyer, Christian 1 Brandstätter, Nina ...and 386 more Authors all top 5 Cited in 125 Serials 27 Journal of Number Theory 15 Discrete Mathematics 13 Proceedings of the American Mathematical Society 13 Transactions of the American Mathematical Society 12 Journal of Algebra 8 Finite Fields and their Applications 7 Theoretical Computer Science 5 Discrete Applied Mathematics 5 European Journal of Combinatorics 5 Linear Algebra and its Applications 4 Mathematics of Computation 4 The Mathematical Intelligencer 4 Journal de Théorie des Nombres de Bordeaux 3 Bulletin of the Australian Mathematical Society 3 Information Processing Letters 3 The Mathematical Gazette 3 Applied Mathematics and Computation 3 Journal of Combinatorial Theory. Series A 3 Journal of Combinatorial Theory. Series B 3 Graphs and Combinatorics 3 Journal of Symbolic Computation 3 Journal of Complexity 3 Journal of Algebraic Combinatorics 3 The Ramanujan Journal 3 Integers 3 International Journal of Number Theory 3 Research in Number Theory 2 American Mathematical Monthly 2 Communications in Algebra 2 Mathematische Semesterberichte 2 Problems of Information Transmission 2 Acta Arithmetica 2 Acta Mathematica 2 Advances in Mathematics 2 Compositio Mathematica 2 Monatshefte für Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Results in Mathematics 2 SIAM Journal on Discrete Mathematics 2 Designs, Codes and Cryptography 2 Historia Mathematica 2 Journal of Mathematical Sciences (New York) 2 Discussiones Mathematicae. Graph Theory 2 Annals of Combinatorics 2 Journal of Integer Sequences 2 Hacettepe Journal of Mathematics and Statistics 2 Mediterranean Journal of Mathematics 2 Rendiconti del Circolo Matematico di Palermo 2 Advances in Mathematics of Communications 2 Cryptography and Communications 2 Arnold Mathematical Journal 1 Archive for History of Exact Sciences 1 Computers & Mathematics with Applications 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 BIT 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Computer and System Sciences 1 Journal of the Korean Mathematical Society 1 Journal of Pure and Applied Algebra 1 Journal of Statistical Planning and Inference 1 The Journal of Symbolic Logic 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Ricerche di Matematica 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 SIAM Journal on Algebraic and Discrete Methods 1 Combinatorica 1 Acta Applicandae Mathematicae 1 Annals of Pure and Applied Logic 1 Order 1 Discrete & Computational Geometry 1 Information and Computation 1 Applied Mathematics Letters 1 Aequationes Mathematicae 1 Elemente der Mathematik 1 Glasnik Matematički. Serija III 1 International Journal of Computer Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 The Australasian Journal of Combinatorics 1 Advances in Applied Clifford Algebras 1 The Electronic Journal of Combinatorics 1 Integral Transforms and Special Functions ...and 25 more Serials all top 5 Cited in 38 Fields 155 Number theory (11-XX) 81 Combinatorics (05-XX) 27 Computer science (68-XX) 21 Commutative algebra (13-XX) 17 Field theory and polynomials (12-XX) 17 Algebraic geometry (14-XX) 17 Group theory and generalizations (20-XX) 17 Information and communication theory, circuits (94-XX) 13 Special functions (33-XX) 11 History and biography (01-XX) 7 Nonassociative rings and algebras (17-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Algebraic topology (55-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Geometry (51-XX) 6 Probability theory and stochastic processes (60-XX) 5 Mathematical logic and foundations (03-XX) 5 Associative rings and algebras (16-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 3 Numerical analysis (65-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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