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N-graphs, Modular Sidon and Sum-Free Sets, and Partition Identities (2000)

Nathanson, Melvyn B.

Springer

The Ramanujan journal 4 (2000), S. 59-67

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ISSN: 1572-9303

Keywords: partition identities ; Ferrers graphs ; modular graphs ; and N-graphs of partitions ; Sidon sets ; sum-free sets ; additive and combinatorial number theory

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Using a new graphical representation for partitions, the author obtains a family of partition identities associated with partitions into distinct parts of an arithmetic progression, or, more generally, with partitions into distinct parts of a set that is a finite union of arithmetic progressions associated with a modular sum-free Sidon set. Partition identities are also constructed for sets associated with modular sum-free sets.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1009830023023

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