The Ramificant Determinant

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Biswas, K., Pérez-Marco, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210302
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Ramificant Determinant / K. Biswas, R. Pérez-Marco // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 19 назв. — англ.

We give an introduction to the transalgebraic theory of simply connected log-Riemann surfaces with a finite number of infinite ramification points (transalgebraic curves of genus 0). We define the base vector space of transcendental functions and establish, by elementary methods, some transcendental...