Risto Korhonen

collaborators

3 papers

math.AG2026

n-th Tropical Nevanlinna Theory

Risto Korhonen, Chengliang Tan

In this paper, the tropical Nevanlinna theory is extended for piecewise polynomial continuous functions. By constructing the $n$ -th Poisson-Jensen formula, the $n$ -th tropical coun…

math.CV2026

On existence questions for the functional equations $f^{8} + g^{8} + h^{8} = 1$ and $f^{6} + g^{6} + h^{6} = 1$

Xiao-Min Li, Hong-Xun Yi, Risto Korhonen

In 1985, W.K.Hayman (Bayer. Akad. Wiss. Math.-Natur. Kl. Sitzungsber, 1984(1985), 1-13.) proved that there do not exist non-constant meromorphic functions $f,$ $g$ and $h$ satisfyi…

math.CV2024

Askey-Wilson version of Second Main Theorem for holomorphic curves in projective space

Chengliang Tan, Risto Korhonen

In this paper, an Askey-Wilson version of the Wronskian-Casorati determinant $W (f_{0}, \dots, f_{n}) (x)$ for meromorphic functions $f_{0}, \dots, f_{n}$ is introduced to…

n-th Tropical Nevanlinna Theory

On existence questions for the functional equations f8+g8+h8=1 and f6+g6+h6=1

Askey-Wilson version of Second Main Theorem for holomorphic curves in projective space

On existence questions for the functional equations $f^{8} + g^{8} + h^{8} = 1$ and $f^{6} + g^{6} + h^{6} = 1$