Ayano Takanori

Publications in Math-Net.Ru

1. Hyperelliptic sigma functions and the Kadomtsev–Petviashvili equation
   
   Phys. D, 485 (2025),  134819–9
2. Relationships Between Hyperelliptic Functions of Genus $2$ and Elliptic Functions
   
   SIGMA, 18 (2022), 010, 30 pp.
3. Analytical and number-theoretical properties of the two-dimensional sigma function
   
   Chebyshevskii Sb., 21:1 (2020),  9–50
4. Ultraelliptic integrals and two-dimensional sigma-functions
   
   Funktsional. Anal. i Prilozhen., 53:3 (2019),  3–22
5. Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3
   
   SIGMA, 15 (2019), 032, 15 pp.
6. The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications
   
   Funktsional. Anal. i Prilozhen., 51:3 (2017),  4–21
7. On Jacobi Inversion Formulae for Telescopic Curves
   
   SIGMA, 12 (2016), 086, 21 pp.
8. On Addition Formulae for Sigma Functions of Telescopic Curves
   
   SIGMA, 9 (2013), 046, 14 pp.