A note on partitions into distinct parts and odd parts

Dongsu Kim, Ae Ja Yee

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Bousquet-Mélou and Eriksson showed that the number of partitions of n into distinct parts whose alternating sum is k is equal to the number of partitions of n into k odd parts, which is a refinement of a well-known result by Euler. We give a different graphical interpretation of the bijection by Sylvester on partitions into distinct parts and partitions into odd parts, and show that the bijection implies the above statement.

Original languageEnglish (US)
Pages (from-to)227-231
Number of pages5
JournalRamanujan Journal
Volume3
Issue number2
DOIs
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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