Computational proofs of congruences for 2-colored frobenius partitions

Dennis Eichhorn, James A. Sellers

Research output: Contribution to journalReview articlepeer-review

18 Scopus citations

Abstract

In 1994, the following infinite family of congruences was conjectured for the partition function cφ 2 (n) which counts the number of 2-colored Frobenius partitions of n: for all n≥0 and a≥1, cφ 2 (5an+λa)=0 (mod5a), where λa is the least positive reciprocal of 12 modulo 5a. In this paper, the first four cases of this family are proved.

Original languageEnglish (US)
Pages (from-to)333-340
Number of pages8
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume29
Issue number6
DOIs
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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