A Generalization of the Doubling Construction for Sums of Squares Identities
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Generalization of the Doubling Construction for Sums of Squares Identities
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| Creator |
Zhang, C.
Huang, H.L. |
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| 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.
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| Date |
2019-02-18T18:29:31Z
2019-02-18T18:29:31Z 2017 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/148756 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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