The theory of partitions. (English) Zbl 0996.11002

Andrews, George E.

Cambridge Mathematical Library. Cambridge: Cambridge University Press. xvi, 255 p. (1998).

See the review of the original edition in Zbl 0371.10001.

MSC:

11-02	Research exposition (monographs, survey articles) pertaining to number theory
05-02	Research exposition (monographs, survey articles) pertaining to combinatorics
11P81	Elementary theory of partitions
11P82	Analytic theory of partitions
11P83	Partitions; congruences and congruential restrictions
11P84	Partition identities; identities of Rogers-Ramanujan type
05A17	Combinatorial aspects of partitions of integers
05A19	Combinatorial identities, bijective combinatorics
05A15	Exact enumeration problems, generating functions

Keywords:

partitions; generating functions; asymptotic problems; partition function; congruences; restricted partitions; permutations; compositions; Newcomb’s problem; Hardy-Ramanujan-Rademacher expansion; Rogers-Ramanujan identities; higher-dimensional partitions; multipartite partitions; ordered partitions

Citations:

Zbl 0655.10001; Zbl 0499.10001; Zbl 0371.10001