4 citations · 13 across the 17 of their papers we have counts for
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A fractal proof of the infinitude of primes
Kota Saito
This short paper gives another proof of the infinitude of primes by using upper box dimension, which is one of fractal dimensions.
Arithmetic Progressions in the Graphs of Slightly Curved Sequences
Kota Saito, Yuuya Yoshida
A strictly increasing sequence of positive integers is called a slightly curved sequence with small error if the sequence can be well-approximated by a function whose second deriva…
Construction of a one-dimensional set which asymptotically and omnidirectionally contains arithmetic progressions
Kota Saito
In this paper, we construct a subset of which asymptotically and omnidirectionally contains arithmetic progressions but has Assouad dimension 1. More precisely, we s…
New fractal dimensions and some applications to arithmetic patches
Kota Saito
In this paper, we define new fractal dimensions of a metric space in order to calculate the roughness of a set on a large scale. These fractal dimensions are called upper zeta dime…