Mathematics – Number Theory
Scientific paper
2000-02-21
Mathematics
Number Theory
9 pages. To appear in The Ramanujan Journal
Scientific paper
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.
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