A Generalization of the Doubling Construction for Sums of Squares Identities

• Дата: 2017
• Автори: Zhang, C., Huang, H.L.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2017
• Назва видання: Symmetry, Integrability and Geometry: Methods and Applications
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/148756
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• 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.

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...