Edit Profile (opens in new tab) Krattenthaler, Christian Friedrich Compute Distance To: Compute Author ID: krattenthaler.christian-f Published as: Krattenthaler, Christian; Krattenthaler, C.; Krattenthaler, Christian F.; Krattenthaler, Christian Friedrich; Krattenthaler, Christain Homepage: http://www.mat.univie.ac.at/~kratt/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 168 Publications since 1984, including 2 Books 14 Contributions as Editor · 3 Further Contributions Reviewing Activity: 125 Reviews Co-Authors: 108 Co-Authors with 117 Joint Publications 3,960 Co-Co-Authors all top 5 Co-Authors 64 single-authored 15 Müller, Thomas W. 10 Rivoal, Tanguy 9 Ciucu, Mihai 5 Drmota, Michael 5 Mohanty, Sri Gopal 4 Fulmek, Markus 3 Zudilin, Wadim 2 Andrews, George Eyre 2 Asinowski, Andrei 2 Banderier, Cyril 2 Bhatnagar, Gaurav 2 Bousquet-Mélou, Mireille 2 Bruns, Winfried 2 Cameron, Peter Jephson 2 Caselli, Fabrizio 2 Chan, Heng Huat 2 Cigler, Johann 2 Foata, Dominique C. 2 Ghorpade, Sudhir R. 2 Gustafson, Robert A. 2 Guttmann, Anthony John 2 Kang, Mihyun 2 Kauers, Manuel 2 Krinik, Alan C. 2 Lass, Bodo 2 Mansour, Toufik 2 Nešetřil, Jaroslav 2 Noy, Marc 2 Orsina, Luigi 2 Papi, Paolo 2 Rao, K. Srinivasa 2 Schlosser, Michael J. 2 Suslov, Sergei K. 2 Uliczka, Jan 2 Viennot, Xavier Gérard 1 Agarwal, Ashok Kumar 1 Almkvist, Gert 1 Bacher, Roland 1 Baudisch, Andreas 1 Berndt, Bruce Carl 1 Böhm, Walter 1 Brent, Richard Peirce 1 Brouder, Christian 1 Bruder, Andrea 1 Brunat, Josep M. 1 Cartier, Pierre 1 Chandrashekara, B. M. 1 Chen, William Yong-Chuan 1 Conca, Aldo 1 Eisenkölbl, Theresia 1 Evans, Ronald J. 1 Feng, Han 1 Fischmann, Matthias 1 Frabetti, Alessandra 1 Friedland, Shmuel 1 Fukuhara, Shinji 1 Gessel, Ira Martin 1 Guo, Ting 1 Guo, Victor J. W. 1 Guy, Richard Kenneth 1 Han, Guo-Niu 1 Hetyei, Gábor 1 Hollmann, Hendrik Dirk Lodewijk 1 Hou, Qinghu 1 Juhl, Andreas 1 Kontogeorgis, Aristides I. 1 Kruchinin, Dmitry V. 1 Kruchinin, Vladimir V. 1 Kryuchkov, Sergey I. 1 Lascoux, Alain 1 Mahalov, Alex 1 Marker, David E. 1 Montes, Antonio 1 Mullen, Gary L. 1 Nadeau, Philippe 1 Niederhausen, Heinrich 1 Oller-Marcén, Antonio M. 1 Osburn, Robert 1 Padmavathamma, Raghavendra R. 1 Petersson, Joakim H. 1 Prohaska, M. 1 Ramachandra, Kanakanahalli 1 Rochev, Igor 1 Rosengren, Hjalmar 1 Rowland, Eric S. 1 Rubey, Martin 1 Sagan, Bruce Eli 1 Schneider, Carsten 1 Slater, Paul B. 1 Somberg, Petr 1 Spiridonov, Vyacheslav Pavlovich 1 Srivastava, Hari Mohan 1 Stothers, W. Wilson 1 Strehl, Volker 1 Sulanke, Robert A. 1 Sun, Zhi-Wei 1 Tent, Katrin 1 Väänänen, Keijo O. 1 Vanden Berghe, Guido 1 Vartanov, Grigory S. ...and 12 more Co-Authors all top 5 Serials 18 Séminaire Lotharingien de Combinatoire 13 Journal of Combinatorial Theory. Series A 8 The Electronic Journal of Combinatorics 7 European Journal of Combinatorics 7 Advances in Applied Mathematics 6 Transactions of the American Mathematical Society 5 Discrete Mathematics 5 Linear Algebra and its Applications 4 Journal of Computational and Applied Mathematics 4 Journal of Statistical Planning and Inference 4 Proceedings of the American Mathematical Society 3 Oberwolfach Reports 2 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 2 Advances in Mathematics 2 Journal of Algebra 2 Journal of Approximation Theory 2 Journal of Number Theory 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 2 Internationale Mathematische Nachrichten 2 The Ramanujan Journal 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Discrete Mathematics & Theoretical Computer Science. Proceedings 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 IEEE Transactions on Information Theory 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Annales des Sciences Mathématiques du Québec 1 Ars Combinatoria 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 The Fibonacci Quarterly 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matematico della Università di Padova 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Journal of Physics A: Mathematical and General 1 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 1 Proceedings of the National Academy of Sciences of the United States of America 1 The Australasian Journal of Combinatorics 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Kyushu Journal of Mathematics 1 Congressus Numerantium 1 The New York Journal of Mathematics 1 Journal of Difference Equations and Applications 1 European Mathematical Society Newsletter 1 Annals of Combinatorics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of High Energy Physics 1 Integers 1 Journal of the Australian Mathematical Society 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Developments in Mathematics 1 Communications in Number Theory and Physics 1 Journal of Combinatorics and Number Theory 1 Journal of Commutative Algebra 1 Electronic Notes in Discrete Mathematics 1 Trends in Mathematics all top 5 Fields 132 Combinatorics (05-XX) 53 Special functions (33-XX) 52 Number theory (11-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 18 General and overarching topics; collections (00-XX) 17 Group theory and generalizations (20-XX) 12 Convex and discrete geometry (52-XX) 9 Probability theory and stochastic processes (60-XX) 8 Commutative algebra (13-XX) 8 Algebraic geometry (14-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Computer science (68-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Quantum theory (81-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 150 Publications have been cited 1,688 times in 1,197 Documents Cited by ▼ Year ▼ Advanced determinant calculus. Zbl 0923.05007Krattenthaler, Christian 131 1999 Advanced determinant calculus: a complement. Zbl 1079.05008Krattenthaler, C. 129 2005 Permutations with restricted patterns and Dyck paths. Zbl 0994.05001Krattenthaler, C. 71 2001 Vicious walkers, friendly walkers and Young tableaux. II: With a wall. Zbl 0970.82016Krattenthaler, Christian; Guttmann, Anthony J.; Viennot, Xavier G. 55 2000 Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes. Zbl 1108.05095Krattenthaler, C. 49 2006 A new matrix inverse. Zbl 0843.15005Krattenthaler, C. 40 1996 Cylindric partitions. Zbl 0865.05003Gessel, Ira M.; Krattenthaler, C. 40 1997 Superconformal indices of three-dimensional theories related by mirror symmetry. Zbl 1298.81186Krattenthaler, C.; Spiridonov, V. P.; Vartanov, G. S. 36 2011 Enumeration of Lozenge tilings of hexagons with a central triangular hole. Zbl 0997.52010Ciucu, M.; Eisenkölbl, T.; Krattenthaler, C.; Zare, D. 35 2001 Lattice path enumeration. Zbl 1332.05009Krattenthaler, Christian 32 2015 Non-commutative Hopf algebra of formal diffeomorphisms. Zbl 1133.16025Brouder, Christian; Frabetti, Alessandra; Krattenthaler, Christian 32 2006 Summations for basic hypergeometric series involving a \(q\)-analogue of the digamma function. Zbl 0855.33012Krattenthaler, C.; Srivastava, H. M. 28 1996 Automatic generation of hypergeometric identities by the beta integral method. Zbl 1038.33003Krattenthaler, C.; Srinivasa Rao, K. 27 2003 The major counting of nonintersecting lattice paths and generating functions for tableaux. Zbl 0830.05003Krattenthaler, C. 26 1995 Operator methods and Lagrange inversion: a unified approach to Lagrange formulas. Zbl 0653.05007Krattenthaler, Christian F. 23 1988 Lattice path proofs for determinantal formulas for symplectic and orthogonal characters. Zbl 0867.05083Fulmek, Markus; Krattenthaler, Christian 22 1997 Enumeration of Lozenge tilings of hexagons with cut-off corners. Zbl 1015.05006Ciucu, Mihai; Krattenthaler, Christian 21 2002 A dual of MacMahon’s theorem on plane partitions. Zbl 1292.52021Ciucu, Mihai; Krattenthaler, Christian 20 2013 Stanley decompositions and Hilbert depth in the Koszul complex. Zbl 1237.13026Bruns, Winfried; Krattenthaler, Christian; Uliczka, Jan 20 2010 Plane partitions in the work of Richard Stanley and his school. Zbl 1365.05016Krattenthaler, C. 20 2016 Generating functions for plane partitions of a given shape. Zbl 0726.05007Krattenthaler, Christian 20 1990 Descending plane partitions and rhombus tilings of a hexagon with a triangular hole. Zbl 1110.05012Krattenthaler, C. 19 2006 Some divisibility properties of binomial and \(q\)-binomial coefficients. Zbl 1385.11010Guo, Victor J. W.; Krattenthaler, C. 18 2014 Hypergeometry and Riemann’s zeta function. (Hypergéométrie et function zêta de Riemann.) Zbl 1113.11039Krattenthaler, C.; Rivoal, T. 18 2007 Identities for classical group characters of nearly rectangular shape. Zbl 0914.20038Krattenthaler, C. 18 1998 The enumeration of lattice paths with respect to their number of turns. Zbl 0882.05004Krattenthaler, C. 17 1997 Lattice paths, reflections, & dimension-changing bijections. Zbl 0770.05003Guy, Richard K.; Krattenthaler, C.; Sagan, Bruce E. 17 1992 Gauss sums, Jacobi sums, and \(p\)-ranks of cyclic difference sets. Zbl 0943.05021Evans, Ronald; Hollmann, Henk D. L.; Krattenthaler, Christian; Xiang, Qing 17 1999 Another involution principle-free bijective proof of Stanley’s hook-content formula. Zbl 0936.05087Krattenthaler, C. 17 1999 Basic hypergeometric series, \(q\)-analoges, of the values of the zeta function, and Eisenstein series. (Séries hypergéométriques basiques, \(q\)-analogues des valeurs de la fonction zêta et séries d’Eisenstein.) Zbl 1089.11038Krattenthaler, C.; Rivoal, T.; Zudilin, W. 16 2006 A new q-Lagrange formula and some applications. Zbl 0565.05006Krattenthaler, Christian 16 1984 ad-nilpotent \(\mathfrak b\)-ideals in \({\mathfrak{sl}}(n)\) having a fixed class of nilpotence: combinatorics and enumeration. Zbl 1041.17008Andrews, George E.; Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo 16 2002 Determinants of (generalised) Catalan numbers. Zbl 1232.05023Krattenthaler, C. 15 2010 On the integrality of the Taylor coefficients of mirror maps. Zbl 1267.11077Krattenthaler, Christian; Rivoal, Tanguy 15 2010 HYP and HYPQ. Zbl 0849.68066Krattenthaler, C. 15 1995 On the number of fully packed loop configurations with a fixed associated matching. Zbl 1060.05005Caselli, F.; Krattenthaler, C.; Lass, B.; Nadeau, P. 14 2004 How can we escape Thomae’s relations? Zbl 1092.33006Krattenthaler, Christian; Rivoal, Tanguy 14 2006 Decomposition numbers for finite Coxeter groups and generalised non-crossing partitions. Zbl 1228.05306Krattenthaler, C.; Müller, T. W. 13 2010 Some determinants of path generating functions. Zbl 1227.05067Cigler, J.; Krattenthaler, C. 13 2011 On the q-log-concavity of Gaussian binomial coefficients. Zbl 0713.05001Krattenthaler, Christian 12 1989 Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions. Zbl 0885.05008Krattenthaler, C. 12 1997 A new multidimensional matrix inverse with applications to multiple \(q\)-series. Zbl 0936.33011Krattenthaler, Christian; Schlosser, Michael 12 1999 On lattice path counting by major index and descents. Zbl 0777.05008Krattenthaler, C.; Mohanty, S. G. 11 1993 The number of rhombus tilings of a “punctured” hexagon and the minor summation formula. Zbl 0922.05018Okada, S.; Krattenthaler, C. 11 1998 The number of centered lozenge tilings of a symmetric hexagon. Zbl 0915.05038Ciucu, M.; Krattenthaler, C. 11 1999 The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis. II. Zbl 0965.05010Fulmek, M.; Krattenthaler, C. 11 2000 Vicious walkers, friendly walkers, and Young tableaux. III: Between two walls. Zbl 1016.82017Krattenthaler, Christian; Guttmann, Anthony J.; Viennot, Xavier G. 10 2003 Regular sequences of symmetric polynomials. Zbl 1167.05051Conca, Aldo; Krattenthaler, Christian; Watanabe, Junzo 10 2009 An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series. Zbl 1114.33007Krattenthaler, C.; Rivoal, T. 10 2007 Schur function identities and the number of perfect matchings of holey Aztec rectangles. Zbl 0955.05005Krattenthaler, C. 10 2000 Enumeration of ad-nilpotent \({\mathfrak b}\)-ideals for simple Lie algebras. Zbl 1024.17003Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo 10 2002 A method for determining the mod-\(2^k\) behaviour of recursive sequences, with applications to subgroup counting. Zbl 1260.05008Kauers, M.; Krattenthaler, C.; Müller, T. W. 9 2011 A factorization theorem for classical group characters, with applications to plane partitions and rhombus tilings. Zbl 1182.05126Ciucu, M.; Krattenthaler, C. 9 2009 The interaction of a gap with a free boundary in a two dimensional dimer system. Zbl 1210.82012Ciucu, M.; Krattenthaler, C. 9 2011 Bijective proofs of the hook formulas for the number of standard Young tableaux, ordinary and shifted. Zbl 0822.05065Krattenthaler, C. 9 1995 The \(F\)-triangle of the generalised cluster complex. Zbl 1122.05096Krattenthaler, Christian 9 2006 The Hilbert series of Pfaffian rings. – Appendix: Geometry of degeneracy loci and a plethora of multiplicity formula. Zbl 1083.13504Ghorpade, Sudhir R.; Krattenthaler, Christian 9 2003 Determinant evaluations and \(U(n)\) extensions of Heine’s \(_ 2\phi_ 1\)-transformations. Zbl 0869.33011Gustafson, Robert A.; Krattenthaler, Christian 8 1997 Period polynomials and explicit formulas for Hecke operators on \(\Gamma _{0}(2)\). With an appendix by Christian Krattenthaler. Zbl 1205.11052Fukuhara, Shinji; Yang, Yifan 8 2009 The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangle”. Zbl 1306.05009Krattenthaler, C.; Schlosser, M. J. 8 2014 The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis. I. Zbl 0917.05004Fulmek, M.; Krattenthaler, C. 8 1998 A remarkable formula for counting nonintersecting lattice paths in a ladder with respect to turns. Zbl 0908.05004Krattenthaler, C.; Prohaska, M. 8 1999 Bijections between oscillating tableaux and (semi)standard tableaux via growth diagrams. Zbl 1343.05164Krattenthaler, C. 7 2016 Asymptotics for random walks in alcoves of affine Weyl groups. Zbl 1186.05016Krattenthaler, Christian 7 2004 Some new formulas for \(\pi\). Zbl 1161.11419Almkvist, Gert; Krattenthaler, Christian; Petersson, Joakim 7 2003 An entry of Ramanujan on hypergeometric series in his Notebooks. Zbl 1068.33010Srinivasa Rao, K.; Vanden Berghe, G.; Krattenthaler, C. 7 2005 Graphical major indices. II. Zbl 0855.05005Foata, Dominique; Krattenthaler, Christian 7 1995 On multiplicities of points on Schubert varieties in Grassmannians. II. Zbl 1093.14068Krattenthaler, Christian F. 7 2005 Plane partitions. II: \(5\frac 12\) symmetry classes. Zbl 0981.05009Ciucu, Mihai; Krattenthaler, Christian 7 2000 Counting lattice paths with a linear boundary. II: q-ballot and q-Catalan numbers. Zbl 0722.05012Krattenthaler, Christian 7 1989 An alternative evaluation of the Andrews-Burge determinant. Zbl 0907.15005Krattenthaler, C. 7 1998 Asymptotic redundancies for universal quantum coding. Zbl 0999.94019Krattenthaler, Christian; Slater, Paul B. 7 2000 On multiplicities of points on Schubert varieties in Grassmannians. Zbl 0965.14023Krattenthaler, C. 7 2000 A factorization theorem for lozenge tilings of a hexagon with triangular holes. Zbl 1355.05072Ciucu, M.; Krattenthaler, C. 6 2017 Evaluations of some determinants of matrices related to the Pascal triangle. Zbl 1049.33006Krattenthaler, C. 6 2002 The flagged Cauchy determinant. Zbl 1060.05095Chen, William Y. C.; Krattenthaler, Christian; Yang, Arthur L. B. 6 2005 On \(q\)-analogues of some series for \(\pi \) and \(\pi ^2\). Zbl 1441.05027Hou, Qing-Hu; Krattenthaler, Christian; Sun, Zhi-Wei 6 2019 Counting lattice paths with a linear boundary. I. Zbl 0695.05003Krattenthaler, Christian 6 1989 Enumeration of lattice paths and generating functions for skew plane partitions. Zbl 0672.05011Krattenthaler, Christian 6 1989 Recent progress in the study of representations of integers as sums of squares. Zbl 1092.11019Chan, Heng Huat; Krattenthaler, Christian 6 2005 Discrete analogues of Macdonald-Mehta integrals. Zbl 1343.05160Brent, Richard P.; Krattenthaler, Christian; Warnaar, Ole 5 2016 Cyclic sieving for generalised non-crossing partitions associated with complex reflection groups of exceptional type. Zbl 1271.05102Krattenthaler, Christian; Müller, Thomas W. 5 2013 On the integrality of the Taylor coefficients of mirror maps. II. Zbl 1186.14042Krattenthaler, Christian; Rivoal, Tanguy 5 2009 Proof of two conjectures of Zuber on fully packed loop configurations. Zbl 1054.05005Caselli, Fabrizio; Krattenthaler, Christian 5 2004 An involution principle-free bijective proof of Stanley’s hook-content formula. Zbl 0934.05124Krattenthaler, Christian 5 1998 A determinant evaluation and some enumeration results for plane partitions. Zbl 0707.05004Krattenthaler, Christian 5 1990 A determinantal formula for the Hilbert series of one-sided ladder determinantal rings. Zbl 1095.13518Krattenthaler, Christian; Rubey, Martin 5 2003 Generating functions for shifted plane partitions. Zbl 0777.05009Krattenthaler, C. 5 1993 On the non-quadraticity of values of the \(q\)-exponential function and related \(q\)-series. Zbl 1232.11080Krattenthaler, Christian; Rochev, Igor; Väänänen, Keijo; Zudilin, Wadim 4 2009 On the problem of electromagnetic-field quantization. Zbl 1283.81061Krattenthaler, Christian; Kryuchkov, Sergey I.; Mahalov, Alex; Suslov, Sergei K. 4 2013 Combinatorial proof of the log-concavity of the sequence of matching numbers. Zbl 0847.05077Krattenthaler, C. 4 1996 Counting pairs of nonintersecting lattice paths with respect to weighted turns. Zbl 0853.05004Krattenthaler, Christian; Sulanke, Robert A. 4 1996 Heine transformations for a new kind of basic hypergeometric series in \(U(n)\). Zbl 0853.33015Gustafson, Robert A.; Krattenthaler, C. 4 1996 Oscillating tableaux and nonintersecting lattice paths. Zbl 0863.05079Krattenthaler, C. 4 1996 Explicit formulas for enumeration of lattice paths: basketball and the kernel method. Zbl 1422.05007Banderier, Cyril; Krattenthaler, Christian; Krinik, Alan; Kruchinin, Dmitry; Kruchinin, Vladimir; Nguyen, David; Wallner, Michael 3 2019 Hypergeometry inspired by irrationality questions. Zbl 1450.11072Krattenthaler, Christian; Zudilin, Wadim 3 2019 A Riccati differential equation and free subgroup numbers for lifts of \(\mathrm{PSL}_2(\mathbb Z)\) modulo prime powers. Zbl 1278.05016Krattenthaler, C.; Müller, T. W. 3 2013 Generalised Apéry numbers modulo 9. Zbl 1302.05008Krattenthaler, C.; Müller, T. W. 3 2015 Analytic properties of mirror maps. Zbl 1278.30004Krattenthaler, C.; Rivoal, T. 3 2012 On conformal powers of the Dirac operator on Einstein manifolds. Zbl 1323.53052Fischmann, Matthias; Krattenthaler, Christian; Somberg, Petr 3 2015 Evaluation of binomial double sums involving absolute values. Zbl 07293168Krattenthaler, Christian; Schneider, Carsten 1 2020 On \(q\)-analogues of some series for \(\pi \) and \(\pi ^2\). Zbl 1441.05027Hou, Qing-Hu; Krattenthaler, Christian; Sun, Zhi-Wei 6 2019 Explicit formulas for enumeration of lattice paths: basketball and the kernel method. Zbl 1422.05007Banderier, Cyril; Krattenthaler, Christian; Krinik, Alan; Kruchinin, Dmitry; Kruchinin, Vladimir; Nguyen, David; Wallner, Michael 3 2019 Hypergeometry inspired by irrationality questions. Zbl 1450.11072Krattenthaler, Christian; Zudilin, Wadim 3 2019 Best polynomial approximation on the triangle. Zbl 1414.41018Feng, Han; Krattenthaler, Christian; Xu, Yuan 3 2019 On (shape-)Wilf-equivalence for words. Zbl 1398.05027Guo, Ting; Krattenthaler, Christian; Zhang, Yi 2 2018 Some determinants of path generating functions. II. Zbl 1397.05022Krattenthaler, C.; Yaqubi, D. 2 2018 The determinant of an elliptic sylvesteresque matrix. Zbl 1391.33040Bhatnagar, Gaurav; Krattenthaler, Christian 1 2018 Normalising graphs of groups. Zbl 1477.20050Krattenthaler, C.; Müller, Thomas 1 2018 A factorization theorem for lozenge tilings of a hexagon with triangular holes. Zbl 1355.05072Ciucu, M.; Krattenthaler, C. 6 2017 Counting triangulations of some classes of subdivided convex polygons. Zbl 1359.05006Asinowski, Andrei; Krattenthaler, Christian; Mansour, Toufik 2 2017 Spiral determinants. Zbl 1367.15005Bhatnagar, Gaurav; Krattenthaler, Christian 1 2017 Plane partitions in the work of Richard Stanley and his school. Zbl 1365.05016Krattenthaler, C. 20 2016 Bijections between oscillating tableaux and (semi)standard tableaux via growth diagrams. Zbl 1343.05164Krattenthaler, C. 7 2016 Discrete analogues of Macdonald-Mehta integrals. Zbl 1343.05160Brent, Richard P.; Krattenthaler, Christian; Warnaar, Ole 5 2016 Periodicity of free subgroup numbers modulo prime powers. Zbl 1331.05020Krattenthaler, C.; Müller, T. W. 2 2016 Counting triangulations of balanced subdivisions of convex polygons. Zbl 1356.05006Asinowski, Andrei; Krattenthaler, Christain; Mansour, Toufik 1 2016 Lattice path enumeration. Zbl 1332.05009Krattenthaler, Christian 32 2015 Generalised Apéry numbers modulo 9. Zbl 1302.05008Krattenthaler, C.; Müller, T. W. 3 2015 On conformal powers of the Dirac operator on Einstein manifolds. Zbl 1323.53052Fischmann, Matthias; Krattenthaler, Christian; Somberg, Petr 3 2015 Truncated versions of Dwork’s lemma for exponentials of power series and \(p\)-divisibility of arithmetic functions. Zbl 1395.13022Krattenthaler, C.; Müller, T. W. 3 2015 Summation formulas for GJMS-operators and \(Q\)-curvatures on the Möbius sphere. Zbl 1317.53014Juhl, Andreas; Krattenthaler, Christian 2 2015 Some divisibility properties of binomial and \(q\)-binomial coefficients. Zbl 1385.11010Guo, Victor J. W.; Krattenthaler, C. 18 2014 The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangle”. Zbl 1306.05009Krattenthaler, C.; Schlosser, M. J. 8 2014 A dual of MacMahon’s theorem on plane partitions. Zbl 1292.52021Ciucu, Mihai; Krattenthaler, Christian 20 2013 Cyclic sieving for generalised non-crossing partitions associated with complex reflection groups of exceptional type. Zbl 1271.05102Krattenthaler, Christian; Müller, Thomas W. 5 2013 On the problem of electromagnetic-field quantization. Zbl 1283.81061Krattenthaler, Christian; Kryuchkov, Sergey I.; Mahalov, Alex; Suslov, Sergei K. 4 2013 A Riccati differential equation and free subgroup numbers for lifts of \(\mathrm{PSL}_2(\mathbb Z)\) modulo prime powers. Zbl 1278.05016Krattenthaler, C.; Müller, T. W. 3 2013 Determinant of generalized Fibonacci numbers. Zbl 1352.11018Krattenthaler, Christian; Oller-Marcén, Antonio M. 1 2013 Analytic properties of mirror maps. Zbl 1278.30004Krattenthaler, C.; Rivoal, T. 3 2012 Subgroups of finite index in \((2,3,n)\)-triangle groups. Zbl 1253.20020Stothers, W. Wilson 1 2012 Superconformal indices of three-dimensional theories related by mirror symmetry. Zbl 1298.81186Krattenthaler, C.; Spiridonov, V. P.; Vartanov, G. S. 36 2011 Some determinants of path generating functions. Zbl 1227.05067Cigler, J.; Krattenthaler, C. 13 2011 A method for determining the mod-\(2^k\) behaviour of recursive sequences, with applications to subgroup counting. Zbl 1260.05008Kauers, M.; Krattenthaler, C.; Müller, T. W. 9 2011 The interaction of a gap with a free boundary in a two dimensional dimer system. Zbl 1210.82012Ciucu, M.; Krattenthaler, C. 9 2011 The poset of bipartitions. Zbl 1232.06011Hetyei, Gábor; Krattenthaler, Christian 3 2011 Multivariate \(p\)-adic formal congruences and integrality of Taylor coefficients of mirror maps. Zbl 1308.11099Krattenthaler, C.; Rivoal, T. 2 2011 Hilbert depth of powers of the maximal ideal. Zbl 1242.05282Bruns, Winfried; Krattenthaler, Christian; Uliczka, Jan 2 2011 Stanley decompositions and Hilbert depth in the Koszul complex. Zbl 1237.13026Bruns, Winfried; Krattenthaler, Christian; Uliczka, Jan 20 2010 Determinants of (generalised) Catalan numbers. Zbl 1232.05023Krattenthaler, C. 15 2010 On the integrality of the Taylor coefficients of mirror maps. Zbl 1267.11077Krattenthaler, Christian; Rivoal, Tanguy 15 2010 Decomposition numbers for finite Coxeter groups and generalised non-crossing partitions. Zbl 1228.05306Krattenthaler, C.; Müller, T. W. 13 2010 Supercongruences satisfied by coefficients of \(_2F_1\) hypergeometric series. Zbl 1236.33006Chan, Heng Huat; Kontogeorgis, Aristides; Krattenthaler, Christian; Osburn, Robert 3 2010 Regular sequences of symmetric polynomials. Zbl 1167.05051Conca, Aldo; Krattenthaler, Christian; Watanabe, Junzo 10 2009 A factorization theorem for classical group characters, with applications to plane partitions and rhombus tilings. Zbl 1182.05126Ciucu, M.; Krattenthaler, C. 9 2009 Period polynomials and explicit formulas for Hecke operators on \(\Gamma _{0}(2)\). With an appendix by Christian Krattenthaler. Zbl 1205.11052Fukuhara, Shinji; Yang, Yifan 8 2009 On the integrality of the Taylor coefficients of mirror maps. II. Zbl 1186.14042Krattenthaler, Christian; Rivoal, Tanguy 5 2009 On the non-quadraticity of values of the \(q\)-exponential function and related \(q\)-series. Zbl 1232.11080Krattenthaler, Christian; Rochev, Igor; Väänänen, Keijo; Zudilin, Wadim 4 2009 Euler characteristic of the truncated order complex of generalized noncrossing partitions. Zbl 1285.05175Armstrong, D.; Krattenthaler, C. 2 2009 Decomposable functors and the exponential principle. II. Zbl 1277.05003Cameron, Peter J.; Krattenthaler, Christian; Müller, Thomas W. 1 2009 Parity patterns associated with lifts of Hecke groups. Zbl 1184.20025Krattenthaler, C.; Müller, Thomas W. 3 2008 On a linear form for Catalan’s constant. Zbl 1217.11070Krattenthaler, C.; Rivoal, T. 2 2008 Padé approximants of \(q\)-polylogarithm. (Approximants de Padé des \(q\)-polylogarithmes.) Zbl 1227.11085Krattenthaler, Christian; Rivoal, Tanguy 1 2008 Hypergeometry and Riemann’s zeta function. (Hypergéométrie et function zêta de Riemann.) Zbl 1113.11039Krattenthaler, C.; Rivoal, T. 18 2007 An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series. Zbl 1114.33007Krattenthaler, C.; Rivoal, T. 10 2007 2-adic valuations of certain ratios of products of factorials and applications. Zbl 1173.11006Friedland, Shmuel; Krattenthaler, Christian 3 2007 Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes. Zbl 1108.05095Krattenthaler, C. 49 2006 Non-commutative Hopf algebra of formal diffeomorphisms. Zbl 1133.16025Brouder, Christian; Frabetti, Alessandra; Krattenthaler, Christian 32 2006 Descending plane partitions and rhombus tilings of a hexagon with a triangular hole. Zbl 1110.05012Krattenthaler, C. 19 2006 Basic hypergeometric series, \(q\)-analoges, of the values of the zeta function, and Eisenstein series. (Séries hypergéométriques basiques, \(q\)-analogues des valeurs de la fonction zêta et séries d’Eisenstein.) Zbl 1089.11038Krattenthaler, C.; Rivoal, T.; Zudilin, W. 16 2006 How can we escape Thomae’s relations? Zbl 1092.33006Krattenthaler, Christian; Rivoal, Tanguy 14 2006 The \(F\)-triangle of the generalised cluster complex. Zbl 1122.05096Krattenthaler, Christian 9 2006 Commutation and rearrangements. An electronic reedition of the monograph ‘Problèmes combinatoires de commutation et réarrangements’ published by Springer 1969. With three new appendices by D. Foata, B. Lass and Ch. Krattenthaler. Zbl 1364.05001Cartier, Pierre; Foata, Dominique 3 2006 Some composition determinants. Zbl 1097.65060Brunat, J. M.; Krattenthaler, C.; Lascoux, A.; Montes, A. 3 2006 Advanced determinant calculus: a complement. Zbl 1079.05008Krattenthaler, C. 129 2005 An entry of Ramanujan on hypergeometric series in his Notebooks. Zbl 1068.33010Srinivasa Rao, K.; Vanden Berghe, G.; Krattenthaler, C. 7 2005 On multiplicities of points on Schubert varieties in Grassmannians. II. Zbl 1093.14068Krattenthaler, Christian F. 7 2005 The flagged Cauchy determinant. Zbl 1060.05095Chen, William Y. C.; Krattenthaler, Christian; Yang, Arthur L. B. 6 2005 Recent progress in the study of representations of integers as sums of squares. Zbl 1092.11019Chan, Heng Huat; Krattenthaler, Christian 6 2005 The \(M\)-triangle of generalised non-crossing partitions for the types \(E_7\) and \(E_8\). Zbl 1267.05293Krattenthaler, Christian 2 2005 Trace identities from identities for determinants. Zbl 1083.15010Humphries, S.; Krattenthaler, C. 1 2005 On the number of fully packed loop configurations with a fixed associated matching. Zbl 1060.05005Caselli, F.; Krattenthaler, C.; Lass, B.; Nadeau, P. 14 2004 Asymptotics for random walks in alcoves of affine Weyl groups. Zbl 1186.05016Krattenthaler, Christian 7 2004 Proof of two conjectures of Zuber on fully packed loop configurations. Zbl 1054.05005Caselli, Fabrizio; Krattenthaler, Christian 5 2004 Hypergeometric proof of a curious identity of Lyons, Paule and Riese. Zbl 1063.33006Krattenthaler, C. 1 2004 Automatic generation of hypergeometric identities by the beta integral method. Zbl 1038.33003Krattenthaler, C.; Srinivasa Rao, K. 27 2003 Vicious walkers, friendly walkers, and Young tableaux. III: Between two walls. Zbl 1016.82017Krattenthaler, Christian; Guttmann, Anthony J.; Viennot, Xavier G. 10 2003 The Hilbert series of Pfaffian rings. – Appendix: Geometry of degeneracy loci and a plethora of multiplicity formula. Zbl 1083.13504Ghorpade, Sudhir R.; Krattenthaler, Christian 9 2003 Some new formulas for \(\pi\). Zbl 1161.11419Almkvist, Gert; Krattenthaler, Christian; Petersson, Joakim 7 2003 A determinantal formula for the Hilbert series of one-sided ladder determinantal rings. Zbl 1095.13518Krattenthaler, Christian; Rubey, Martin 5 2003 On a hypergeometric identity of Gelfand, Graev and Retakh. Zbl 1056.33013Krattenthaler, C.; Rosengren, H. 2 2003 Discrete random walks, DRW’03. Proceedings of the conference, Paris, France, September 1–5, 2003. Zbl 1031.68086 1 2003 Enumeration of Lozenge tilings of hexagons with cut-off corners. Zbl 1015.05006Ciucu, Mihai; Krattenthaler, Christian 21 2002 ad-nilpotent \(\mathfrak b\)-ideals in \({\mathfrak{sl}}(n)\) having a fixed class of nilpotence: combinatorics and enumeration. Zbl 1041.17008Andrews, George E.; Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo 16 2002 Enumeration of ad-nilpotent \({\mathfrak b}\)-ideals for simple Lie algebras. Zbl 1024.17003Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo 10 2002 Evaluations of some determinants of matrices related to the Pascal triangle. Zbl 1049.33006Krattenthaler, C. 6 2002 A (conjectural) 1/3-phenomenon for the number of rhombus tilings of a hexagon which contain a fixed rhombus. Zbl 1028.05004Krattenthaler, C. 2 2002 A non-automatic (!) application of Gosper’s algorithm evaluates a determinant from tiling enumeration. Zbl 1031.05008Ciucu, M.; Krattenthaler, C. 2 2002 Permutations with restricted patterns and Dyck paths. Zbl 0994.05001Krattenthaler, C. 71 2001 Enumeration of Lozenge tilings of hexagons with a central triangular hole. Zbl 0997.52010Ciucu, M.; Eisenkölbl, T.; Krattenthaler, C.; Zare, D. 35 2001 Proof of a summation formulas for an \(\tilde A_n\) basic hypergeometric series conjectured by Warnaar. Zbl 1005.33008Krattenthaler, C. 1 2001 Vicious walkers, friendly walkers and Young tableaux. II: With a wall. Zbl 0970.82016Krattenthaler, Christian; Guttmann, Anthony J.; Viennot, Xavier G. 55 2000 The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis. II. Zbl 0965.05010Fulmek, M.; Krattenthaler, C. 11 2000 Schur function identities and the number of perfect matchings of holey Aztec rectangles. Zbl 0955.05005Krattenthaler, C. 10 2000 Plane partitions. II: \(5\frac 12\) symmetry classes. Zbl 0981.05009Ciucu, Mihai; Krattenthaler, Christian 7 2000 Asymptotic redundancies for universal quantum coding. Zbl 0999.94019Krattenthaler, Christian; Slater, Paul B. 7 2000 On multiplicities of points on Schubert varieties in Grassmannians. Zbl 0965.14023Krattenthaler, C. 7 2000 Bijections for hook pair identities. Zbl 0939.05011Krattenthaler, C. 1 2000 Advanced determinant calculus. Zbl 0923.05007Krattenthaler, Christian 131 1999 Gauss sums, Jacobi sums, and \(p\)-ranks of cyclic difference sets. Zbl 0943.05021Evans, Ronald; Hollmann, Henk D. L.; Krattenthaler, Christian; Xiang, Qing 17 1999 ...and 50 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,209 Authors 60 Krattenthaler, Christian Friedrich 23 Ciucu, Mihai 19 Lai, Tri 17 Fischer, Ilse 15 Guo, Victor J. W. 14 Bogolyubov, Nikolaĭ Mikhaĭlovich 14 Chen, William Yong-Chuan 14 Mansour, Toufik 13 Pak, Igor 13 Schlosser, Michael J. 13 Warnaar, S. Ole 12 Katori, Makoto 12 Rosengren, Hjalmar 11 Barry, Paul 11 Elizalde, Sergi 10 Chu, Wenchang 10 Han, Guo-Niu 10 Wei, Chuanan 9 Müller, Thomas W. 9 Rains, Eric M. 9 Rivoal, Tanguy 9 Xin, Guoce 9 Zeng, Jiang 9 Zudilin, Wadim 8 Konvalinka, Matjaž 8 Nadeau, Philippe 8 Salem, Ahmed 8 Wang, Xiaoxia 7 Corteel, Sylvie 7 Forrester, Peter J. 7 Korff, Christian 7 Morales, Alejandro Henry 7 Mühle, Henri 7 Panova, Greta 7 Petković, Marko D. 7 Rathie, Arjun Kumar 7 Rubey, Martin 7 Yan, Catherine Huafei 6 Barnabei, Marilena 6 Bonetti, Flavio 6 Borodin, Alexei 6 Bousquet-Mélou, Mireille 6 Di Francesco, Philippe 6 Fulmek, Markus 6 Gahramanov, Ilmar 6 Ishikawa, Masao 6 Koutschan, Christoph 6 Lin, Zhicong 6 Majumdar, Satya N. 6 Moghaddamfar, Ali Reza 6 Nagel, Uwe 6 Rohatgi, Ranjan 6 Schehr, Grégory 6 Silimbani, Matteo 6 Van Assche, Walter 6 Van der Jeugt, Joris 6 Xiang, Qing 6 Yang, Arthur L. B. 5 Behrend, Roger E. 5 Bhatnagar, Gaurav 5 Gorin, Vadim 5 Katthän, Lukas 5 Ma, Xinrong 5 Novelli, Jean-Christophe 5 Stump, Christian 5 Sulanke, Robert A. 5 Thibon, Jean-Yves 4 Aigner, Florian 4 Ayyer, Arvind 4 Baril, Jean-Luc 4 Bojičić, Radica 4 Bostan, Alin 4 Bouttier, Jérémie 4 Cook, David II 4 Delaygue, Éric 4 Egorychev, Georgiǐ Petrovich 4 Feng, Tao 4 Ferrari, Luca 4 Ghorpade, Sudhir R. 4 Guitter, Emmanuel 4 Hopkins, Samuel Francis 4 Hou, Qinghu 4 Ichim, Bogdan 4 Kallipoliti, Myrto 4 Kim, Jang Soo 4 Lassalle, Michel 4 Mekareeya, Noppadol 4 Menous, Frédéric 4 Milne, Stephen C. 4 Momihara, Koji 4 Moyano Fernández, Julio José 4 Niederhausen, Heinrich 4 Pooya, Seyed Majid Hosseini 4 Poznanović, Svetlana 4 Rajković, Predrag M. 4 Roichman, Yuval 4 Roques, Julien 4 Sagan, Bruce Eli 4 Santocanale, Luigi 4 Saracino, Dan ...and 1,109 more Authors all top 5 Cited in 216 Serials 89 Journal of Combinatorial Theory. Series A 66 Discrete Mathematics 55 Advances in Applied Mathematics 47 The Electronic Journal of Combinatorics 45 European Journal of Combinatorics 36 Advances in Mathematics 36 Journal of High Energy Physics 30 Linear Algebra and its Applications 30 The Ramanujan Journal 28 Journal of Algebra 28 Séminaire Lotharingien de Combinatoire 27 Transactions of the American Mathematical Society 26 Journal of Algebraic Combinatorics 24 Proceedings of the American Mathematical Society 20 Journal of Statistical Planning and Inference 19 Journal of Mathematical Analysis and Applications 17 Communications in Mathematical Physics 17 Annals of Combinatorics 16 International Journal of Number Theory 15 Journal of Number Theory 15 Integral Transforms and Special Functions 14 Journal of Statistical Physics 13 Nuclear Physics. B 13 Journal of Mathematical Sciences (New York) 12 Journal of Computational and Applied Mathematics 12 Journal of Integer Sequences 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Journal of Mathematical Physics 8 Applied Mathematics and Computation 8 Journal of Approximation Theory 8 Theoretical Computer Science 8 SIAM Journal on Discrete Mathematics 7 Journal of Symbolic Computation 7 Finite Fields and their Applications 6 Letters in Mathematical Physics 6 Journal of Difference Equations and Applications 6 Acta Mathematica Sinica. English Series 6 Journal of Statistical Mechanics: Theory and Experiment 5 Discrete Applied Mathematics 5 Linear and Multilinear Algebra 5 Duke Mathematical Journal 5 Functional Analysis and its Applications 5 Journal of Pure and Applied Algebra 5 Monatshefte für Mathematik 5 Probability Theory and Related Fields 5 Constructive Approximation 5 Journal de Théorie des Nombres de Bordeaux 5 Journal of Commutative Algebra 5 Algebraic Combinatorics 4 Theoretical and Mathematical Physics 4 Mathematics of Computation 4 Czechoslovak Mathematical Journal 4 Memoirs of the American Mathematical Society 4 Combinatorics, Probability and Computing 4 Journal of Inequalities and Applications 4 Algebras and Representation Theory 4 Discrete Mathematics and Theoretical Computer Science. DMTCS 4 Integers 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Algebra and its Applications 4 Advances in Difference Equations 4 Research in Number Theory 3 Indian Journal of Pure & Applied Mathematics 3 Israel Journal of Mathematics 3 Physics Letters. A 3 Rocky Mountain Journal of Mathematics 3 Collectanea Mathematica 3 Compositio Mathematica 3 Manuscripta Mathematica 3 Results in Mathematics 3 Order 3 Random Structures & Algorithms 3 Designs, Codes and Cryptography 3 Stochastic Processes and their Applications 3 Experimental Mathematics 3 St. Petersburg Mathematical Journal 3 Selecta Mathematica. New Series 3 Journal of Mathematical Chemistry 3 Mathematical Physics, Analysis and Geometry 3 Lobachevskii Journal of Mathematics 3 Journal of Physics A: Mathematical and Theoretical 3 Asian-European Journal of Mathematics 3 Electronic Research Archive 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Periodica Mathematica Hungarica 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Canadian Journal of Mathematics 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Mathematica Slovaca 2 Mathematische Zeitschrift 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Acta Applicandae Mathematicae 2 Graphs and Combinatorics 2 Algorithmica 2 Forum Mathematicum 2 The Annals of Applied Probability ...and 116 more Serials all top 5 Cited in 54 Fields 718 Combinatorics (05-XX) 265 Number theory (11-XX) 246 Special functions (33-XX) 142 Linear and multilinear algebra; matrix theory (15-XX) 86 Quantum theory (81-XX) 86 Statistical mechanics, structure of matter (82-XX) 83 Probability theory and stochastic processes (60-XX) 79 Group theory and generalizations (20-XX) 73 Algebraic geometry (14-XX) 57 Convex and discrete geometry (52-XX) 51 Commutative algebra (13-XX) 44 Associative rings and algebras (16-XX) 39 Nonassociative rings and algebras (17-XX) 38 Order, lattices, ordered algebraic structures (06-XX) 35 Computer science (68-XX) 25 Numerical analysis (65-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 19 Real functions (26-XX) 18 Functions of a complex variable (30-XX) 17 Approximations and expansions (41-XX) 15 Topological groups, Lie groups (22-XX) 14 Partial differential equations (35-XX) 12 Manifolds and cell complexes (57-XX) 12 Information and communication theory, circuits (94-XX) 11 Statistics (62-XX) 10 Operator theory (47-XX) 9 Category theory; homological algebra (18-XX) 9 Ordinary differential equations (34-XX) 9 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Relativity and gravitational theory (83-XX) 7 Difference and functional equations (39-XX) 7 Differential geometry (53-XX) 6 Field theory and polynomials (12-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Geometry (51-XX) 5 Algebraic topology (55-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Sequences, series, summability (40-XX) 3 Abstract harmonic analysis (43-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 General topology (54-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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