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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)
Contenidos:
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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