Computational proofs of congruences for 2-colored Frobenius partitions

Dennis Eichhorn and James A. Sellers

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-8

Abstract:

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

Date: 2002
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/29/256862.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/29/256862.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:256862

DOI: 10.1155/S0161171202007342

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().