The product of parts or “norm” of a partition

Robert Schneider, Andrew V. Sills

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this article we study the “norm” of an integer partition, which we define to be the product of the parts. This partition-theoretic statistic has appeared here and there in the literature of the last century or so, and is at the heart of current research by both authors. We survey known results and give new results related to this all-but-overlooked object, which, it turns out, plays a comparable role in partition theory to the size, length, and other standard partition statistics.

Original languageEnglish
Article numberA13
Pages (from-to)1-16
Number of pages16
JournalIntegers
Volume20A
StatePublished - 2020

Scopus Subject Areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

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