Kota Saito

activity

20182021

most citedApproximate Expected Utility Rationalization

4 citations · 5 across the 5 of their papers we have counts for

collaborators

10 papers

econ.GN2021★ 4 cited

Approximate Expected Utility Rationalization

Federico Echenique, Kota Saito, Taisuke Imai

We propose a new measure of deviations from expected utility theory. For any positive number~ $e$ , we give a characterization of the datasets with a rationalization that is within~$…

math.NT2021

Prime-representing functions and Hausdorff dimension

Kota Saito

In 2010, Matomäki investigated the set of $A > 1$ such that the integer part of $A^{c^{k}}$ is a prime number for every $k \in N$ , where $c \geq 2$ is any fixed real number. S…

math.NT2020

Linear equations with two variables in Piatetski-Shapiro sequences

Kota Saito

For every non-integral $α > 1$ , the sequence of the integer parts of $n^{α}$ $(n = 1, 2, \dots)$ is called the Piatetski-Shapiro sequence with exponent $α$ , and let $PS (α)$ denot…

math.NT2020

Distributions of Finite Sequences Represented by Polynomials in Piatetski-Shapiro Sequences

Kota Saito, Yuuya Yoshida

By using the work of Frantzikinakis and Wierdl, we can see that for all $d \in N$ , $α \in (d, d + 1)$ , and integers $k \geq d + 2$ and $r \geq 1$ , there exist infinitely many $n\in\math…

math.NT2020

Transcendence of values of the iterated exponential function at algebraic points

Hirotaka Kobayashi, Kota Saito, Wataru Takeda

We say that the order of an algebraic number $A$ is the minimum of positive integers $k$ such that $A^{k}$ is rational. In this paper, we show that the number of algebraic numbers $A…

math.CA2019★ 1 cited

New bounds for dimensions of a set uniformly avoiding multi-dimensional arithmetic progressions

Kota Saito

Let $r_{k} (N)$ be the largest cardinality of a subset of ${1, \dots, N}$ which does not contain any arithmetic progressions (APs) of length $k$ . In this paper, we give new upper and…