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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