6 citations · 28 across the 13 of their papers we have counts for
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math.AG2025★ 1 cited
Sigma function associated with a hyperelliptic curve with two points at infinity
Takanori Ayano, Victor M. Buchstaber
Baker constructed basic meromorphic functions on the Jacobian variety of a hyperelliptic curve with two points at infinity. We call them Baker functions. The construction is based…
math-ph2025★ 2 cited
Hyperelliptic sigma functions and the Kadomtsev-Petviashvili equation
Takanori Ayano, Victor M. Buchstaber
In this paper, a theory of hyperelliptic functions based on multidimensional sigma functions is developed and explicit formulas for hyperelliptic solutions to the Kadomtsev-Petvias…
math.AG2025
Reduction of bielliptic hyperelliptic functions of genus 3
Takanori Ayano
The present paper is devoted to the problem about the reduction of hyperelliptic functions of genus 3. Our research was motivated by applications to the theory of equations and dyn…