Congruences Involving F-Partition Functions

James Sellers

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

The primary goal of this note is to prove the congruence ϕ3 (3n + 2) = 0 (mod 3), where ϕ3 (n) denotes the number of F-partitions of n with at most F repetitions. Secondarily, we conjecture a new family of congruences involving cϕ2 (n), the number of F-partitions of n with 2 colors.

Original languageEnglish (US)
Pages (from-to)187-188
Number of pages2
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume17
Issue number1
DOIs
StatePublished - Jan 1 1994

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

Fingerprint Dive into the research topics of 'Congruences Involving F-Partition Functions'. Together they form a unique fingerprint.

  • Cite this