×

MacMahon, Percy Alexander

Compute Distance To:
Author ID: macmahon.percy-alexander Recent zbMATH articles by "MacMahon, Percy Alexander"
Published as: MacMahon, P. A.; MacMahon, Percy Alexander; MacMahon, Percy A.; MacMahon; MacMahon, P. A. (Major).; Macmahon, P. A.
External Links: MacTutor · Wikidata · GND · IdRef
Documents Indexed: 135 Publications since 1880, including 10 Books
Biographic References: 3 Publications
Co-Authors: 48 Co-Authors with 6 Joint Publications
478 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 749 times in 682 Documents Cited by Year
Combinatory analysis. Vol. I, II. Zbl 0101.25102
MacMahon, Percy A.
152
1960
Combinatory analysis. Vol. 2. JFM 46.0118.07
MacMahon, P. A.
149
1916
Combinatory analysis. Vol. 1. JFM 45.1271.01
MacMahon, P. A.
120
1915
The indices of permutations and the derivation therefrom of functions of a single associated with the permutations of any assemblage of objects. JFM 44.0076.02
MacMahon, P. A.
43
1913
Two applications of general theorems in combinatory analysis: (1) To the theory of inversions of permutations; (2) To the ascertainment of the numbers of terms in the development of a determinant which has amongst its elements an arbitrary number of zero. JFM 46.0107.04
MacMahon, P. A.
38
1916
Combinatorial analysis. JFM 31.0219.01
MacMahon, P. A.
29
1900
Divisors of numbers and their continuations in the theory of partitions. JFM 47.0117.01
MacMahon, P. A.
22
1920
Memoir on the theory of the compositions of numbers. (Memoir on the theory of the eompositions of numbers.) JFM 25.0258.01
MacMahon, P. A.
17
1893
Combinatory analysis. Vols. I, II (bound in one volume). Reprint of An introduction to combinatory analysis (1920) and Combinatory analysis. Vol. I, II (1915, 1916). Zbl 1144.05300
MacMahon, Percy A.
14
2004
Second memoir on the composition of numbers. JFM 39.0241.01
MacMahon, P. A.
14
1908
Memoir on the theory of the partitions of numbers. Part V. Partitions in two-dimensional space. JFM 42.0236.21
MacMahon, P. A.
14
1911
Small contribution to combinatory analysis. JFM 46.0108.01
MacMahon, P. A.
12
1918
Collected papers. Volume I: Combinatorics. Ed. and with a preface by George F. Andrews. With an introduction by Gian-Carlo Rota. Zbl 0557.01015
MacMahon, Percy Alexander
11
1978
Memoir on the theory of the partition of numbers. – Part IV: On the probability that the successful candidate at an election by ballot may never at any time have fewer votes than the one who is insucessful; on a generalisation of this question, and on its connexion with other questions of partition, permutation, and combination. JFM 40.0281.04
Macmahon, P. A.
9
1909
Partitions of numbers whose graphs possess symmetry. (Partitions of numbers whose graphs possess symmetry.) JFM 30.0201.04
MacMahon, P. A.
9
1899
Dirichlet series and the theory of partitions. JFM 50.0083.02
MacMahon, P. A.
9
1924
Memoir on the theory of the partitions of numbers. Part VI. Partitions in two-dimesional space, to which is added an adumbration of the theory of the partitions in three-dimensional space. JFM 42.0237.01
MacMahon, P. A.
9
1911
Application of a theory of permutations in circular precession to the theory of numbers. JFM 24.0181.01
MacMahon, P. A.
7
1892
Note on the parity of the number which enumerates the partitions of a number. JFM 48.1160.01
MacMahon, P. A.
7
1921
The divisors of numbers. JFM 47.0107.02
MacMahon, P. A.
6
1920
Memoir on the symmetric functions of the roots of equations. JFM 22.0187.02
MacMahon, P. A.
5
1890
Combinatory analysis: a review of the present state of knowledge. JFM 28.0103.01
MacMahon, P. A.
4
1897
Memoir on the theory of the partition of numbers. Part I. JFM 27.0134.04
MacMahon, P. A.
4
1896
A new method in combinatory analysis, with application to latin squares and associated questions. JFM 30.0227.11
MacMahon, P. A.
3
1898
Yoke-chains and multipartite compositions in connexion with the analytical forms called trees. JFM 23.0565.02
MacMahon, P. A.
3
1891
New mathematical pastimes. JFM 48.0075.06
MacMahon, P. A.
3
1921
Note on the parity of the number which enumerates the partitions of a number. JFM 48.0153.01
MacMahon, P. A.
3
1921
The theory of modular partitions. JFM 48.1161.01
MacMahon, P. A.
3
1922
Seventh memoir on the partition of numbers. JFM 46.0205.03
MacMahon, P. A.
3
1918
Second memoir on the compositions of numbers. JFM 38.0225.01
MacMahon, P. A.
2
1907
Yoke-chains and multipartite compositions in connexion with the analytical forms called “trees”. JFM 23.0132.02
MacMahon, P. A.
2
1891
A second paper on perpetuants. JFM 17.0082.03
MacMahon, P. A.
2
1885
The structure of a determinant. (Lecture on the Rouse Ball Foundation, University of Cambridge, 7. 6. 27.). JFM 53.0074.05
MacMahon, P. A.
2
1927
Researches in the theory of determinants. JFM 50.0069.01
MacMahon, P. A.
2
1924
An introduction to combinatory analysis. JFM 47.0066.07
MacMahon, P. A.
2
1920
Combinations derived from \(m\) identical sets of \(n\) different letters and their connexion with general magic squares. JFM 46.0108.02
MacMahon, P. A.
2
1917
The combinations of resistances. Zbl 1053.94585
MacMahon, P. A.
1
1994
The sums of powers of the binomial coefficients. JFM 33.0285.05
MacMahon, P. A.
1
1902
Memoir on the theory of the partitions of numbers. Part. II. (Memoir on the theory of the partitions of numbers. Part. II.) JFM 30.0171.11
MacMahon, P. A.
1
1899
James Joseph Sylvester. JFM 28.0030.03
MacMahon, P. A.
1
1896
The perpetuant invariants of binary quantics. JFM 26.0141.01
MacMahon, P. A.
1
1895
A certain class of generating functions in the theory of numbers. (A certain class of generating functions in the theory of numbers.) JFM 25.0258.02
MacMahon, P. A.
1
1893
Weighing by a series of weights. (Weighing by a series of weights.) JFM 23.0186.03
MacMahon, P. A.
1
1890
A new theorem in symmetric functions. JFM 17.0113.03
MacMahon
1
1885
Certain special partitions of numbers. (Certain special partitions of numbers.) JFM 18.0138.04
MacMahon, P. A.
1
1886
Seminvariants and symmetric functions. JFM 15.0127.01
MacMahon, P. A.
1
1883
The parity of \(p(n)\), the number of partitions of \(n\), when \(n\leqq \, 1000\). JFM 52.0167.01
MacMahon, P. A.
1
1926
The theory of modular partitions. JFM 48.0154.01
MacMahon, P. A.
1
1922
The superior and inferior indices of permutations. JFM 45.1264.01
MacMahon, P. A.
1
1915
Combinatory analysis. Vols. I, II (bound in one volume). Reprint of An introduction to combinatory analysis (1920) and Combinatory analysis. Vol. I, II (1915, 1916). Zbl 1144.05300
MacMahon, Percy A.
14
2004
The combinations of resistances. Zbl 1053.94585
MacMahon, P. A.
1
1994
Collected papers. Volume I: Combinatorics. Ed. and with a preface by George F. Andrews. With an introduction by Gian-Carlo Rota. Zbl 0557.01015
MacMahon, Percy Alexander
11
1978
Combinatory analysis. Vol. I, II. Zbl 0101.25102
MacMahon, Percy A.
152
1960
The structure of a determinant. (Lecture on the Rouse Ball Foundation, University of Cambridge, 7. 6. 27.). JFM 53.0074.05
MacMahon, P. A.
2
1927
The parity of \(p(n)\), the number of partitions of \(n\), when \(n\leqq \, 1000\). JFM 52.0167.01
MacMahon, P. A.
1
1926
Dirichlet series and the theory of partitions. JFM 50.0083.02
MacMahon, P. A.
9
1924
Researches in the theory of determinants. JFM 50.0069.01
MacMahon, P. A.
2
1924
The theory of modular partitions. JFM 48.1161.01
MacMahon, P. A.
3
1922
The theory of modular partitions. JFM 48.0154.01
MacMahon, P. A.
1
1922
Note on the parity of the number which enumerates the partitions of a number. JFM 48.1160.01
MacMahon, P. A.
7
1921
New mathematical pastimes. JFM 48.0075.06
MacMahon, P. A.
3
1921
Note on the parity of the number which enumerates the partitions of a number. JFM 48.0153.01
MacMahon, P. A.
3
1921
Divisors of numbers and their continuations in the theory of partitions. JFM 47.0117.01
MacMahon, P. A.
22
1920
The divisors of numbers. JFM 47.0107.02
MacMahon, P. A.
6
1920
An introduction to combinatory analysis. JFM 47.0066.07
MacMahon, P. A.
2
1920
Small contribution to combinatory analysis. JFM 46.0108.01
MacMahon, P. A.
12
1918
Seventh memoir on the partition of numbers. JFM 46.0205.03
MacMahon, P. A.
3
1918
Combinations derived from \(m\) identical sets of \(n\) different letters and their connexion with general magic squares. JFM 46.0108.02
MacMahon, P. A.
2
1917
Combinatory analysis. Vol. 2. JFM 46.0118.07
MacMahon, P. A.
149
1916
Two applications of general theorems in combinatory analysis: (1) To the theory of inversions of permutations; (2) To the ascertainment of the numbers of terms in the development of a determinant which has amongst its elements an arbitrary number of zero. JFM 46.0107.04
MacMahon, P. A.
38
1916
Combinatory analysis. Vol. 1. JFM 45.1271.01
MacMahon, P. A.
120
1915
The superior and inferior indices of permutations. JFM 45.1264.01
MacMahon, P. A.
1
1915
The indices of permutations and the derivation therefrom of functions of a single associated with the permutations of any assemblage of objects. JFM 44.0076.02
MacMahon, P. A.
43
1913
Memoir on the theory of the partitions of numbers. Part V. Partitions in two-dimensional space. JFM 42.0236.21
MacMahon, P. A.
14
1911
Memoir on the theory of the partitions of numbers. Part VI. Partitions in two-dimesional space, to which is added an adumbration of the theory of the partitions in three-dimensional space. JFM 42.0237.01
MacMahon, P. A.
9
1911
Memoir on the theory of the partition of numbers. – Part IV: On the probability that the successful candidate at an election by ballot may never at any time have fewer votes than the one who is insucessful; on a generalisation of this question, and on its connexion with other questions of partition, permutation, and combination. JFM 40.0281.04
Macmahon, P. A.
9
1909
Second memoir on the composition of numbers. JFM 39.0241.01
MacMahon, P. A.
14
1908
Second memoir on the compositions of numbers. JFM 38.0225.01
MacMahon, P. A.
2
1907
The sums of powers of the binomial coefficients. JFM 33.0285.05
MacMahon, P. A.
1
1902
Combinatorial analysis. JFM 31.0219.01
MacMahon, P. A.
29
1900
Partitions of numbers whose graphs possess symmetry. (Partitions of numbers whose graphs possess symmetry.) JFM 30.0201.04
MacMahon, P. A.
9
1899
Memoir on the theory of the partitions of numbers. Part. II. (Memoir on the theory of the partitions of numbers. Part. II.) JFM 30.0171.11
MacMahon, P. A.
1
1899
A new method in combinatory analysis, with application to latin squares and associated questions. JFM 30.0227.11
MacMahon, P. A.
3
1898
Combinatory analysis: a review of the present state of knowledge. JFM 28.0103.01
MacMahon, P. A.
4
1897
Memoir on the theory of the partition of numbers. Part I. JFM 27.0134.04
MacMahon, P. A.
4
1896
James Joseph Sylvester. JFM 28.0030.03
MacMahon, P. A.
1
1896
The perpetuant invariants of binary quantics. JFM 26.0141.01
MacMahon, P. A.
1
1895
Memoir on the theory of the compositions of numbers. (Memoir on the theory of the eompositions of numbers.) JFM 25.0258.01
MacMahon, P. A.
17
1893
A certain class of generating functions in the theory of numbers. (A certain class of generating functions in the theory of numbers.) JFM 25.0258.02
MacMahon, P. A.
1
1893
Application of a theory of permutations in circular precession to the theory of numbers. JFM 24.0181.01
MacMahon, P. A.
7
1892
Yoke-chains and multipartite compositions in connexion with the analytical forms called trees. JFM 23.0565.02
MacMahon, P. A.
3
1891
Yoke-chains and multipartite compositions in connexion with the analytical forms called “trees”. JFM 23.0132.02
MacMahon, P. A.
2
1891
Memoir on the symmetric functions of the roots of equations. JFM 22.0187.02
MacMahon, P. A.
5
1890
Weighing by a series of weights. (Weighing by a series of weights.) JFM 23.0186.03
MacMahon, P. A.
1
1890
Certain special partitions of numbers. (Certain special partitions of numbers.) JFM 18.0138.04
MacMahon, P. A.
1
1886
A second paper on perpetuants. JFM 17.0082.03
MacMahon, P. A.
2
1885
A new theorem in symmetric functions. JFM 17.0113.03
MacMahon
1
1885
Seminvariants and symmetric functions. JFM 15.0127.01
MacMahon, P. A.
1
1883
all top 5

Cited by 757 Authors

19 Lai, Tri
17 Krattenthaler, Christian Friedrich
15 Andrews, George Eyre
15 Ciucu, Mihai
14 Foata, Dominique C.
13 Merca, Mircea
11 Ehrenborg, Richard
11 Sills, Andrew V.
10 Rawlings, Don
9 Chen, William Yong-Chuan
8 Han, Guo-Niu
8 Zeilberger, Doron
7 Jackson, David M.
7 Konvalinka, Matjaž
7 Mansour, Toufik
6 Biagioli, Riccardo
6 Carlitz, Leonard
6 Caselli, Fabrizio
6 Drensky, Vesselin
6 Gessel, Ira Martin
6 Goulden, Ian P.
6 Munagi, Augustine O.
6 Rohatgi, Ranjan
6 Savage, Carla D.
6 Stanley, Richard Peter
6 Swanson, Joshua P.
6 Wachs, Michelle Lynn
5 Remmel, Jeffrey B.
5 Roichman, Yuval
5 Sagan, Bruce Eli
5 Warnaar, S. Ole
5 Zeng, Jiang
4 Brenti, Francesco
4 Clarke, Robert J.
4 Eisenkölbl, Theresia
4 Fischer, Ilse
4 Hopkins, Samuel Francis
4 Mutafchiev, Lyuben R.
4 Pak, Igor
4 Readdy, Margaret A.
4 Rosas, Mercedes Helena
4 Steingrímsson, Einar
4 Tewari, Vasu V.
4 Viennot, Xavier Gérard
3 Adin, Ron M.
3 Beck, Matthias
3 Billey, Sara C.
3 Borodin, Alexei
3 Cerasoli, Mauro
3 Chu, Wenchang
3 Corteel, Sylvie
3 Eu, Sen-Peng
3 Fındık, Şehmus
3 Fu, Shishuo
3 Gilmore, Tomack
3 Good, Irving John (Jack)
3 Haglund, James
3 Hernane, Mohand-Ouamar
3 Ji, Kathy Qing
3 Knopfmacher, Arnold
3 Lin, Zhicong
3 Nicolas, Jean-Louis
3 Park, SeungKyung
3 Poznanović, Svetlana
3 Rhoades, Brendon
3 Riordan, John F.
3 Vallejo, Ernesto
3 Yan, Catherine Huafei
2 Abramson, Morton
2 Adler, Mark
2 Ahlbach, Connor
2 Armstrong, Drew
2 Assaf, Sami H.
2 Bayad, Abdelmejid
2 Bell, Eric Temple
2 Berkove, Ethan J.
2 Berkovich, Alexander
2 Björner, Anders
2 Braun, Benjamin
2 Canfield, E. Rodney
2 Choliy, Yuriy
2 Colmenarejo, Laura
2 Conflitti, Alessandro
2 Conger, Mark A.
2 Crilly, Tony
2 Dangovski, Rumen
2 Désarménien, Jacques
2 Destainville, Nicolas
2 Domokos, Mátyás
2 Dousse, Jehanne
2 Ewell, John A.
2 Feltrin, Guglielmo
2 Foulkes, H. O.
2 Fox, N. Bradley
2 Fu, James C.
2 Fulmek, Markus
2 Galovich, Jennifer
2 Gamburd, Alexander
2 Govindarajan, Suresh
2 Goyal, Megha
...and 657 more Authors
all top 5

Cited in 163 Serials

80 Journal of Combinatorial Theory. Series A
69 Discrete Mathematics
52 Advances in Applied Mathematics
34 European Journal of Combinatorics
24 Annals of Combinatorics
21 Advances in Mathematics
21 The Ramanujan Journal
20 The Electronic Journal of Combinatorics
19 Proceedings of the American Mathematical Society
15 Transactions of the American Mathematical Society
15 Linear Algebra and its Applications
14 Journal of Number Theory
12 Journal of Algebraic Combinatorics
10 Journal of Algebra
8 Journal of Integer Sequences
8 International Journal of Number Theory
7 Discrete Applied Mathematics
7 Séminaire Lotharingien de Combinatoire
6 Journal of Mathematical Analysis and Applications
6 Mathematics of Computation
6 Journal of Statistical Planning and Inference
6 Theoretical Computer Science
5 Journal of Mathematical Physics
5 Nuclear Physics. B
5 Integers
4 Journal of Statistical Physics
4 Mathematische Annalen
4 Studies in Applied Mathematics
4 Journal of Symbolic Computation
3 Israel Journal of Mathematics
3 Journal of Geometry and Physics
3 The Mathematical Intelligencer
3 Journal of Computational and Applied Mathematics
3 Statistics & Probability Letters
3 SIAM Journal on Discrete Mathematics
3 Aequationes Mathematicae
3 Historia Mathematica
3 Journal of Mathematical Sciences (New York)
3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
2 International Journal of Modern Physics B
2 Computers & Mathematics with Applications
2 Communications in Mathematical Physics
2 Physica A
2 Rocky Mountain Journal of Mathematics
2 Biometrical Journal
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Quaestiones Mathematicae
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Discrete & Computational Geometry
2 Journal of the Ramanujan Mathematical Society
2 Bulletin of the American Mathematical Society. New Series
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Indagationes Mathematicae. New Series
2 The Australasian Journal of Combinatorics
2 Experimental Mathematics
2 Journal de Théorie des Nombres de Bordeaux
2 Combinatorics, Probability and Computing
2 Journal of Algebra and its Applications
2 Mediterranean Journal of Mathematics
2 Bulletin of the American Mathematical Society
2 Contributions to Discrete Mathematics
2 Forum of Mathematics, Sigma
2 Algebraic Combinatorics
1 American Mathematical Monthly
1 Analysis Mathematica
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Indian Journal of Pure & Applied Mathematics
1 Lithuanian Mathematical Journal
1 Linear and Multilinear Algebra
1 The Mathematical Gazette
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Arithmetica
1 Algebra Universalis
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 The Annals of Statistics
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1 Archiv der Mathematik
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Fuzzy Sets and Systems
1 Integral Equations and Operator Theory
1 Journal of Applied Probability
1 Journal of Combinatorial Theory. Series B
1 Journal of Differential Equations
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of Multivariate Analysis
1 Journal of Pure and Applied Algebra
1 Matematički Vesnik
...and 63 more Serials
all top 5

Cited in 49 Fields

534 Combinatorics (05-XX)
202 Number theory (11-XX)
53 Group theory and generalizations (20-XX)
43 Special functions (33-XX)
38 Convex and discrete geometry (52-XX)
35 Linear and multilinear algebra; matrix theory (15-XX)
32 Probability theory and stochastic processes (60-XX)
30 Order, lattices, ordered algebraic structures (06-XX)
21 Commutative algebra (13-XX)
21 Algebraic geometry (14-XX)
20 Computer science (68-XX)
18 Statistical mechanics, structure of matter (82-XX)
16 Associative rings and algebras (16-XX)
16 Quantum theory (81-XX)
14 Nonassociative rings and algebras (17-XX)
12 History and biography (01-XX)
10 Functions of a complex variable (30-XX)
8 Statistics (62-XX)
6 Real functions (26-XX)
5 Ordinary differential equations (34-XX)
5 Difference and functional equations (39-XX)
4 General and overarching topics; collections (00-XX)
4 Numerical analysis (65-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Topological groups, Lie groups (22-XX)
3 Approximations and expansions (41-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
3 Operator theory (47-XX)
3 Manifolds and cell complexes (57-XX)
3 Biology and other natural sciences (92-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 Category theory; homological algebra (18-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Partial differential equations (35-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.