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11P: Additive number theory; partitions



Applications and related fields

Note that some of the principal questions about partitions can be answered with Bell numbers and Stirling numbers; these are discussed in 11B among other Sets and Sequences. More general set-partitioning problems are treated in Combinatorics.


Parent field: 11: Number Theory

Browse all (old) classifications for this area at the AMS.

Textbooks, reference works, and tutorials

Nathanson, Melvyn B.: "Additive number theory; The classical bases", Graduate Texts in Mathematics, 164. Springer-Verlag, New York, 1996. 342 pp. ISBN 0-387-94656-X

Number-theoretic properties of partitions are included in the extensive book by Andrews, George E.: "The theory of partitions", Encyclopedia of Mathematics and its Applications, Vol. 2, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1976. 255 pp.

See also the references for number theory in general.

Software and tables

Other web sites with this focus

Selected topics at this site

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