Manabu Ozaki

collaborators

2 papers

math.NT2023

A number field analogue of Weil's theorem on congruent zeta functions

Manabu Ozaki

Let $K$ be a function field of one variable over a finite field $F$ . Weil's celebrated theorem states that the congruent zeta function of $K / F$ is determined by t…

math.GT2010

Remark on the Alexander polynomials of periodic knots

Manabu Ozaki

We will show that if $K$ is a knot of prime period $p > 2$ and whose Alexander polynomial $Δ_{K} (t)$ is monic and of degree $p - 1$ , then $Δ_{K} (t)$ is uniquely determined only by $p$ .