P. A. MacMahon

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Person:1336628

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zbMath Open macmahon.percy-alexanderWikidataQ1490782 ScholiaQ1490782MaRDI QIDQ1336628

List of research outcomes

PublicationDate of PublicationType
https://portal.mardi4nfdi.de/entity/Q49925562021-06-09Paper
https://portal.mardi4nfdi.de/entity/Q35247722008-09-15Paper
https://portal.mardi4nfdi.de/entity/Q35149892008-07-24Paper
The combinations of resistances.1994-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32221511978-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32838951960-01-01Paper
The expansion of determinants and permanents in terms of symmetric functions.1928-01-01Paper
The structure of a determinant. (Lecture on the Rouse Ball Foundation, University of Cambridge, 7. 6. 27.)1927-01-01Paper
Euler's \(\varphi\)-function and its connexion with multipartite numbers.1926-01-01Paper
The parity of \(p(n)\), the number of partitions of \(n\), when \(n\leqq \, 1000\).1926-01-01Paper
Researches in the theory of determinants.1924-01-01Paper
Dirichlet series and the theory of partitions.1924-01-01Paper
Properties of prime numbers deduced from the calculus of symmetric functions.1924-01-01Paper
On an \(x\)-determinant which includes as particular cases both determinants and permanents.1924-01-01Paper
The algebra of symmetric functions.1923-01-01Paper
Chess tournaments and the like treated by the calculus of symmetric functions.1923-01-01Paper
The partitions of infinity with some arithmetic and algebraic consequences.1923-01-01Paper
The prime numbers of measurement on a scale.1923-01-01Paper
On a class of transcendents of which the Bessel functions are a special case.1923-01-01Paper
Prime lattice permutations.1922-01-01Paper
The theory of modular partitions.1922-01-01Paper
The theory of modular partitions.1922-01-01Paper
Prime lattice permutations.1922-01-01Paper
The design of repeating patterns. I.1922-01-01Paper
The connexion between the sum of the squares of the divisors and the number of the partitions of a given number.1922-01-01Paper
Note on the parity of the number which enumerates the partitions of a number.1921-01-01Paper
Note on the parity of the number which enumerates the partitions of a number.1921-01-01Paper
New mathematical pastimes.1921-01-01Paper
The divisors of numbers.1920-01-01Paper
An introduction to combinatory analysis.1920-01-01Paper
Divisors of numbers and their continuations in the theory of partitions.1920-01-01Paper
Permutations, lattice permutations, and the hypergeometric series.1920-01-01Paper
An American tournament treated by the calculus of symmetric functions.1920-01-01Paper
Congruences with respect to composite moduli.1920-01-01Paper
Divisors of numbers and their continuations in the theory of partitions.1920-01-01Paper
On partitions into unequal and into uneven parts.1920-01-01Paper
Contribution to the theory of attraction when the force varies as any power of the distance.1918-01-01Paper
Small contribution to combinatory analysis.1918-01-01Paper
Seventh memoir on the partition of numbers.1918-01-01Paper
Combinations derived from \(m\) identical sets of \(n\) different letters and their connexion with general magic squares.1917-01-01Paper
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.1916-01-01Paper
Combinatory analysis. Vol. 2.1916-01-01Paper
The invariants of the \textit{Halphenian} homographic substitution -- to which is appended some investigations concerning the transformations of differential operators which present themselves in invariant theories.1915-01-01Paper
The invariants of the \textit{Halphenian} homographic substitution -- to which is appended some investigations concerning the transformation of differential operators which present themselves in invariant theories.1915-01-01Paper
The superior and inferior indices of permutations.1915-01-01Paper
Combinatory analysis. Vol. 11915-01-01Paper
On a modified form of pure reciprocants possessing the property that the algebraic sum of the coefficients is zero.1914-01-01Paper
On a modified form of pure reciprocants possessing the property that the algebraical sum of the coefficients is zero.1914-01-01Paper
The indices of permutations and the derivation therefrom of functions of a single associated with the permutations of any assemblage of objects.1913-01-01Paper
On compound denumeration.1912-01-01Paper
The problem of ``dérangement in the theory of permutations.1912-01-01Paper
Memoir on the theory of the partitions of numbers. Part V. Partitions in two-dimensional space.1911-01-01Paper
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.1911-01-01Paper
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.1909-01-01Paper
Preliminary note an the operational invariants of a binary quantic.1908-01-01Paper
Second memoir on the composition of numbers.1908-01-01Paper
The operator reciprocants of Sylvester's theory of reciprocants.1908-01-01Paper
Second memoir on the compositions of numbers.1907-01-01Paper
The Diophantine equation \(x^n-Ny^n=z\).1907-01-01Paper
Magic squares and other problems on a chess-board.1906-01-01Paper
Memoir on the theory of the partitions of numbers.1906-01-01Paper
Memoir on the orthogonal and other special systems of invariants. I.1905-01-01Paper
Memoir on the theory of the partition of numbers. III.1905-01-01Paper
On a deficient multinomial expansion.1905-01-01Paper
On the application of quaternions to the orthogonal transformation and invariant theory.1904-01-01Paper
Note on the Diophantine inequality \(\lambda x\geq \mu y\).1904-01-01Paper
Seminvariants of systems of binary quantics, the order of each quantic being infinite.1902-01-01Paper
The sums of powers of the binomial coefficients.1902-01-01Paper
Magic squares and other problems upon a chessboard.1901-01-01Paper
Opening addres. Section A. Mathematics and physics. The British Association at Glasgow.1901-01-01Paper
Address as president of the mathematical and physical science of the Britisch Association.1901-01-01Paper
Application of the partition analysis to the study of the properties of any system of consecutive integers.1900-01-01Paper
The diophantine inequality \(\lambda x\geq\mu y\).1900-01-01Paper
Combinatorial analysis.1900-01-01Paper
Partitions of numbers whose graphs possess symmetry.1899-01-01Paper
Memoir on the theory of the partitions of numbers. Part. II.1899-01-01Paper
A new method in combinatory analysis, with application to latin squares and associated questions.1898-01-01Paper
Mirage.1898-01-01Paper
Solution du problème de partition d'où résulte le dénombrement des genres distincts d'abaques relatifs aux équations à \(n\) variables.1898-01-01Paper
Combinatory analysis: a review of the present state of knowledge.1897-01-01Paper
James Joseph Sylvester.1896-01-01Paper
Memoir on the theory of the partition of numbers. Part I.1896-01-01Paper
The perpetuant invariants of binary quantics.1895-01-01Paper
Self-conjugate permutations.1894-01-01Paper
Memoir on the theory of the compositions of numbers.1893-01-01Paper
A certain class of generating functions in the theory of numbers.1893-01-01Paper
Application of a theory of permutations in circular precession to the theory of numbers.1892-01-01Paper
Yoke-chains and multipartite compositions in connexion with the analytical forms called ``trees.1891-01-01Paper
Third and fourth memoir on a new theory of symmetric functions.1891-01-01Paper
Yoke-chains and multipartite compositions in connexion with the analytical forms called trees.1891-01-01Paper
Weighing by a series of weights.1890-01-01Paper
Memoir on the symmetric functions of the roots of equations.1890-01-01Paper
The theory of perfect partitions of numbers and the compositions of multipartite numbers.1890-01-01Paper
A theorem in the calculus of linear partial differential operations.1890-01-01Paper
Second memoir on a new theory of symmetric functions.1890-01-01Paper
On Play ``to the utmost.1889-01-01Paper
Memoir on a new theory of symmetric functions.1889-01-01Paper
The algebra of multi-linear partial differential operators.1888-01-01Paper
Symmetric functions and the theory of distributions.1888-01-01Paper
The eliminant of two binary quantics.1888-01-01Paper
The theory of a multilinear partial differential operator, with applications to the theories of invariants and reciprocants.1887-01-01Paper
Observations on the generating functions of the theory of invariants.1887-01-01Paper
The expression of syzygies among perpetuants by means of partitions.1887-01-01Paper
Properties of a complete table of symmetric functions.1887-01-01Paper
The differential equation of the most general substitution of one variable.1887-01-01Paper
The law of symmetry and other theorems in symmetric functions.1887-01-01Paper
Operators in the theory of semivariants.1886-01-01Paper
Perpetuant reciprocants.1886-01-01Paper
Certain special partitions of numbers.1886-01-01Paper
Note on rationalisation.1885-01-01Paper
A second paper on perpetuants.1885-01-01Paper
Memoir on semivariants.1885-01-01Paper
A new theorem in symmetric functions.1885-01-01Paper
On perpetuants.1884-01-01Paper
On symmetric functions.1884-01-01Paper
The multiplication of symmetric functions.1884-01-01Paper
Algebraic identities arising out of an extension of Waring's formula.1884-01-01Paper
Symmetric functions of the \(13^{\text{ic}}\).1884-01-01Paper
Note on the development of an algebraic fraction.1884-01-01Paper
Solutions of question 7298.1884-01-01Paper
Note on an algebraical identity.1883-01-01Paper
On the differential equation \[ X^{-\frac 23}dx + Y^{-\frac 23}dy + Z^{-\frac 23}dz=0. \]1883-01-01Paper
Further solutions of problems in probability1883-01-01Paper
On Professor Cayley's canonical form.1883-01-01Paper
On symmetric functions and in particular on certain inverse operators in connection therewith.1883-01-01Paper
Seminvariants and symmetric functions.1883-01-01Paper
On a generalization of the nine-points properties of a triangle.1883-01-01Paper
On a result of the calculus obtained by Mr. Allégret.1883-01-01Paper
The Cassinian.1882-01-01Paper
An extension of Steiner's problem.1882-01-01Paper
The three-cusped hypocycloid.1882-01-01Paper
Integration of an equation connected with elliptic functions.1882-01-01Paper
A property of pedal curves.1880-01-01Paper

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