A Generalization of the Doubling Construction for Sums of Squares Identities

dc.contributor.author	Zhang, C.
dc.contributor.author	Huang, H.L.
dc.date.accessioned	2019-02-18T18:29:31Z
dc.date.available	2019-02-18T18:29:31Z
dc.date.issued	2017
dc.identifier.citation	A Generalization of the Doubling Construction for Sums of Squares Identities / C. Zhang, H.L. Huang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 9 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 11E25
dc.identifier.other	DOI:10.3842/SIGMA.2017.064
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148756
dc.description.abstract	The doubling construction is a fast and important way to generate new solutions to the Hurwitz problem on sums of squares identities from any known ones. In this short note, we generalize the doubling construction and obtain from any given admissible triple [r,s,m] a series of new ones [r+ρ(2ⁿ⁻¹),2ⁿs,2ⁿm] for all positive integer n, where ρ is the Hurwitz-Radon function.	uk_UA
dc.description.sponsorship	This research was supported by NSFC 11471186 and NSFC 11571199.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A Generalization of the Doubling Construction for Sums of Squares Identities	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA