A Generalization of the Doubling Construction for Sums of Squares Identities
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),2ⁿ...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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| Sprache: | English |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148756 |
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| Zitieren: | 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. |
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Zhang, C. Huang, H.L. 2019-02-18T18:29:31Z 2019-02-18T18:29:31Z 2017 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. 1815-0659 2010 Mathematics Subject Classification: 11E25 DOI:10.3842/SIGMA.2017.064 https://nasplib.isofts.kiev.ua/handle/123456789/148756 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. This research was supported by NSFC 11471186 and NSFC 11571199. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Generalization of the Doubling Construction for Sums of Squares Identities Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A Generalization of the Doubling Construction for Sums of Squares Identities |
| spellingShingle |
A Generalization of the Doubling Construction for Sums of Squares Identities Zhang, C. Huang, H.L. |
| title_short |
A Generalization of the Doubling Construction for Sums of Squares Identities |
| title_full |
A Generalization of the Doubling Construction for Sums of Squares Identities |
| title_fullStr |
A Generalization of the Doubling Construction for Sums of Squares Identities |
| title_full_unstemmed |
A Generalization of the Doubling Construction for Sums of Squares Identities |
| title_sort |
generalization of the doubling construction for sums of squares identities |
| author |
Zhang, C. Huang, H.L. |
| author_facet |
Zhang, C. Huang, H.L. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148756 |
| citation_txt |
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. |
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| first_indexed |
2025-12-07T20:54:11Z |
| last_indexed |
2025-12-07T20:54:11Z |
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