Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Ayano, Takanori, Buchstaber, Victor M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211535
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions. Takanori Ayano and Victor M. Buchstaber. SIGMA 18 (2022), 010, 30 pages

The article is devoted to the classical problems about the relationships between elliptic functions and hyperelliptic functions of genus 2. It contains new results, as well as a derivation from them of well-known results on these issues. Our research was motivated by applications to the theory of eq...