The theory of partitions / George E. Andrews.
Series Encyclopedia of mathematics and its applications: v. 2.; Encyclopedia of mathematics and its applicationsSection, Number theory: Editor: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1976Descripción: xiv, 255 p. ; 24 cmISBN: 0201135019Tema(s): Partitions (Mathematics) | Number theoryOtra clasificación: 11P81 (05A17 11P82 11P83)Capítulos: 1. The elementary theory of partitions2. Infinite series generating functions3. Restricted partitions and permutations4. Compositions and Simon Newcomb's problem5. The Hardy-Ramanujan-Rademacher expansion of p(n)6. The asymptotics of infinite product generating functions7. Identities of the Rogers-Ramanujan type8. A general theory of partition identities9. Sieve methods related to partitions10. Congruence properties of partition functions11. Higher-dimensional partitions12. Vector or multipartite partitions13. Partitions in combinatorics14. Computations for partitions.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 11 An565 (Browse shelf) | Available | A-4675 |
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| 11 Ad211 Introduction to number theory / | 11 Al394 Algebraic number fields : | 11 Al394l Algebraic numbers / | 11 An565 The theory of partitions / | 11 Ap645m Modular functions and Dirichlet series in number theory / | 11 Ar791 Theory of algebraic numbers / | 11 Ar791c Class field theory / |
Incluye referencias bibliográficas e índices.
Capítulos: 1. The elementary theory of partitions -- 2. Infinite series generating functions -- 3. Restricted partitions and permutations -- 4. Compositions and Simon Newcomb's problem -- 5. The Hardy-Ramanujan-Rademacher expansion of p(n) -- 6. The asymptotics of infinite product generating functions -- 7. Identities of the Rogers-Ramanujan type -- 8. A general theory of partition identities -- 9. Sieve methods related to partitions -- 10. Congruence properties of partition functions -- 11. Higher-dimensional partitions -- 12. Vector or multipartite partitions -- 13. Partitions in combinatorics -- 14. Computations for partitions.
MR, 58 #27738
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