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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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148756 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148756 |
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dspace |
| spelling |
irk-123456789-1487562019-02-24T15:44:44Z A Generalization of the Doubling Construction for Sums of Squares Identities Zhang, C. Huang, H.L. 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. 2017 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Zhang, C. Huang, H.L. |
| spellingShingle |
Zhang, C. Huang, H.L. A Generalization of the Doubling Construction for Sums of Squares Identities Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Zhang, C. Huang, H.L. |
| author_sort |
Zhang, C. |
| title |
A Generalization of the Doubling Construction for Sums of Squares Identities |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT zhangc ageneralizationofthedoublingconstructionforsumsofsquaresidentities AT huanghl ageneralizationofthedoublingconstructionforsumsofsquaresidentities AT zhangc generalizationofthedoublingconstructionforsumsofsquaresidentities AT huanghl generalizationofthedoublingconstructionforsumsofsquaresidentities |
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2023-05-20T17:31:14Z |
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2023-05-20T17:31:14Z |
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1796153476592435200 |