New theorems on the parity of partition functions

Bruce C. Berndt, Ae Ja Yee, Alexandru Zaharescu

Research output: Contribution to journalArticle

Abstract

Working in the ring A of formal power series in one variable over the field of two elements, we have recently established lower bounds for both the number of even values and the number of odd values for a wide variety of partition functions. Here, we introduce two further ideas, diÂerential equations in A and finite perturbations, to prove theorems on the parity of a considerably larger class of partition functions.

Original languageEnglish (US)
Pages (from-to)91-109
Number of pages19
JournalJournal fur die Reine und Angewandte Mathematik
Volume2004
Issue number566
DOIs
StatePublished - Feb 5 2020

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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