Proofs of some conjectures of Sun on the relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\)
type: Item
instance of: scholarly article
title: Proofs of some conjectures of Sun on the relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\)
zbMATH Open document ID: 1406.11029
author: Xianqiang Yang
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-04-25T00:00:00Z
Mathematics Subject Classification ID: 11D85
Mathematics Subject Classification ID: 11E25
zbMATH DE Number: 6864716
zbMATH Keywords: Ramanujan's theta function identities
zbMATH Keywords: sum of squares
zbMATH Keywords: sum of triangular numbers
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.02.043
OpenAlex ID: W2793632102
Wikidata QID: Q115188961
cites work: A GENERAL RELATION BETWEEN SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS
cites work: SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS INDUCED BY PARTITIONS OF 8
cites work: Q4000402
cites work: New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions
cites work: Congruences modulo 9 and 27 for overpartitions
cites work: Congruences modulo 16, 32, and 64 for Andrews's singular overpartitions
cites work: The relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\) and (\(p,k\))-parametrization of theta functions
cites work: New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
DOI: 10.1016/J.JMAA.2018.02.043
description: scientific article; zbMATH DE number 6864716