2 papers
math.NT2026
Dynamical systems defined by polynomials with algebraic properties
Shigeki Akiyama, Xiang Gao, Teturo Kamae
Let (x_n; n\in Z) be a bisequence of elements x_n in the 1-dimensional torus R/Z, which is called a stream over R/Z. Let P(z)=a_k z^k+...+a_1 z+a_0 be a polynomial with integer coe…
math.NT2025
Exponential Diophantine approximation and symbolic dynamics
Shigeki Akiyama, Teturo Kamae, Hajime Kaneko
We extend the key formula which intertwines multiplicative Markoff-Lagrange spectrum and symbolic dynamics. The proof uses complex analysis and elucidates the strategy of the probl…