Identities for Partitions with Distinct Colors

Bruce C Berndt, Roberta R. Zhou

Research output: Contribution to journalArticle

Abstract

We establish several identities for partitions with distinct colors that arise from Ramanujan’s formulas for multipliers in the theory of modular equations. In the course of our investigations, we prove three conjectures made by C. Sandon and F. Zanello. However, combinatorial proofs of these three conjectures and most of the theorems in this paper remain to be given.

Original languageEnglish (US)
Pages (from-to)397-420
Number of pages24
JournalAnnals of Combinatorics
Volume19
Issue number3
DOIs
StatePublished - Sep 22 2015

Keywords

  • colored partitions
  • modular equations
  • theta function identities

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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