Wataru Takeda

activity

20162026

most citedVisible lattice points and the Extended Lindelöf Hypothesis

8 citations · 28 across the 15 of their papers we have counts for

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math.NT2016★ 8 cited

Visible lattice points and the Extended Lindelöf Hypothesis

Wataru Takeda

We consider the number of visible lattice points under the assumption of the Extended Lindelöf Hypothesis. We get a relation between visible lattice points and the Extended Lindelö…

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…

Visible lattice points and the Extended Lindelöf Hypothesis

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