The number of representations of a positive integer by triangular, square and decagonal numbers

Isnaini, U; Melham, R; Toh, PC

The number of representations of a positive integer by triangular, square and decagonal numbers

Isnaini, U Melham, R Toh, PC

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Publication Type:: Journal Article
Citation:: Bulletin of the Korean Mathematical Society, 2019, 56 (5), pp. 1143 - 1157
Issue Date:: 2019-01-01

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Field	Value	Language
dc.contributor.author	Isnaini, U	en_US
dc.contributor.author	Melham, R	en_US
dc.contributor.author	Toh, PC	en_US
dc.date.issued	2019-01-01	en_US
dc.identifier.citation	Bulletin of the Korean Mathematical Society, 2019, 56 (5), pp. 1143 - 1157	en_US
dc.identifier.issn	1015-8634	en_US
dc.identifier.uri	http://hdl.handle.net/10453/137359
dc.description.abstract	© 2019 Korean Mathematical Society. Let TaDb(n) and TaDb(n) denote respectively the number of representations of a positive integer n by a(x2 - x)/2 + b(4y2 - 3y) and a(x2 - x)/2 + b(4y2 - y). Similarly, let SaDb(n) and SaD’b(n) denote respectively the number of representations of n by ax2 + b(4y2 - 3y) and ax2 + b(4y2 - y). In this paper, we prove 162 formulas for these functions.	en_US
dc.relation.ispartof	Bulletin of the Korean Mathematical Society	en_US
dc.relation.isbasedon	10.4134/BKMS.b180914	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	The number of representations of a positive integer by triangular, square and decagonal numbers	en_US
dc.type	Journal Article
utslib.citation.volume	5	en_US
utslib.citation.volume	56	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0102 Applied Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
utslib.copyright.status	closed_access
pubs.issue	5	en_US
pubs.publication-status	Published	en_US
pubs.volume	56	en_US

Abstract:

© 2019 Korean Mathematical Society. Let TaDb(n) and TaDb(n) denote respectively the number of representations of a positive integer n by a(x2 - x)/2 + b(4y2 - 3y) and a(x2 - x)/2 + b(4y2 - y). Similarly, let SaDb(n) and SaD’b(n) denote respectively the number of representations of n by ax2 + b(4y2 - 3y) and ax2 + b(4y2 - y). In this paper, we prove 162 formulas for these functions.

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http://hdl.handle.net/10453/137359