Elementary proofs of infinitely many congruences for 8-cores
type: Item
instance of: scholarly article
title: Elementary proofs of infinitely many congruences for 8-cores
zbMATH Open document ID: 0939.05009
DOI: 10.1023/A:1006953609540
author: James A. Sellers
author: Louis W. Kolitsch
published in: The Ramanujan Journal
publication date: 2000-06-29T00:00:00Z
review text: From the paper's abstract: Using a very elementary argument, we prove the congruences \[ a_8(81n + 21) \equiv 0 \pmod 2 \quad \text{and}\quad a_8(81n + 75) \equiv 0 \pmod 2 \] where \(a_8(n)\) is the number of 8-core partitions of \(n\). We also exhibit two infinite families of congruences modulo 2 for 8-cores.
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 11P83
zbMATH DE Number: 1347445
zbMATH Keywords: partitions
zbMATH Keywords: congruences
zbMATH Keywords: \(t\)-cores
reviewed by: R. Scurr
MaRDI profile type: Publication
full work available at URL: a:1006953609540
OpenAlex ID: W2116462045
description: scientific article; zbMATH DE number 1347445