On a problem of Lehmer on partitions into squares

Michael D. Hirschhorn, James Sellers

Research output: Contribution to journalReview articlepeer-review

5 Scopus citations

Abstract

In 1948 D.H.Lehmer published a brief work discussing the difference between representations of the integer n as a sum of squares and partitions of n into square summands. In this article we return to this topic and consider four partition functions involving square parts and prove various arithmetic properties of these functions. These results provide a natural extension to the work of Lehmer.

Original languageEnglish (US)
Pages (from-to)279-287
Number of pages9
JournalRamanujan Journal
Volume8
Issue number3
DOIs
StatePublished - Sep 1 2004
Externally publishedYes

Keywords

  • Partitions into squares

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