Euler-like recurrences for smallest parts functions

Scott Ahlgren, Nickolas Andersen

Research output: Contribution to journalArticlepeer-review

Abstract

We obtain recurrences for smallest parts functions which resemble Euler’s recurrence for the ordinary partition function. The proofs involve the holomorphic projection of non-holomorphic modular forms of weight 2.

Original languageEnglish (US)
Pages (from-to)237-248
Number of pages12
JournalRamanujan Journal
Volume36
Issue number1
DOIs
StatePublished - 2015

Keywords

  • Holomorphic projection
  • Smallest parts functions

ASJC Scopus subject areas

  • Algebra and Number Theory

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