Congruences for 3-core cubic partitions

Robson Silva () and James A. Sellers ()
Additional contact information
Robson Silva: Universidade Federal de São Paulo
James A. Sellers: University of Minnesota Duluth

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 2, 404-420

Abstract: Abstract In this paper, our goal is to significantly extend the list of proven arithmetic properties satisfied by the function that enumerates cubic partitions which are also 3-cores, namely $$C_3(n),$$ C 3 ( n ) , which was studied extensively by Gireesh in 2017. Our proof techniques are elementary, including classical generating function manipulations and dissections.

Keywords: Congruence; Cubic partition; 3-Core partition; Generating function; 11P81; 05A17 (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-022-00262-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:indpam:v:54:y:2023:i:2:d:10.1007_s13226-022-00262-5

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-022-00262-5

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().