Wataru Takeda

most citedThe exact order of the number of lattice points visible from the origin

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2021★ 1 cited

Topological properties and algebraic independence of sets of prime-representing constants

Kota Saito, Wataru Takeda

Let $(c_{k})_{k \in N}$ be a sequence of positive integers. We investigate the set of $A > 1$ such that the integer part of $A^{c_{1} \dots c_{k}}$ is always a prime number for eve…

math.NT2016

The number of relatively $r$ -prime $k$ -tuple integers

Wataru Takeda

For a fixed integer $r \geq 1$ , we say $k$ -tuple integers $(x_{1}, \dots, x_{k})$ are relatively $r$ -prime if there exists no prime $p$ such that all $k$ integers is multiple of $p^{r}$ . Ben…

math.NT2016★ 1 cited

The exact order of the number of lattice points visible from the origin

Wataru Takeda

We say a lattice point $X = (x_{1}, \dots, x_{m})$ is visible from the origin, if $g cd (x_{1}, ..., x_{m}) = 1$ . In other word, there are no other lattice point on the line segment from the origi…

Topological properties and algebraic independence of sets of prime-representing constants

The number of relatively r-prime k-tuple integers

The exact order of the number of lattice points visible from the origin

The number of relatively $r$ -prime $k$ -tuple integers