Kota Saito

activity

20172023

most citedApproximate Expected Utility Rationalization

4 citations · 13 across the 17 of their papers we have counts for

collaborators

Showing math.CAShow all

3 papers · 1 filter

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…

math.CA2018

Construction of a one-dimensional set which asymptotically and omnidirectionally contains arithmetic progressions

Kota Saito

In this paper, we construct a subset of $R^{d}$ which asymptotically and omnidirectionally contains arithmetic progressions but has Assouad dimension 1. More precisely, we s…

math.CA2017

Dimensions of sets which uniformly avoid arithmetic progressions

Jonathan M. Fraser, Kota Saito, Han Yu

We provide estimates for the dimensions of sets in $R$ which uniformly avoid finite arithmetic progressions. More precisely, we say $F$ uniformly avoids arithmetic progres…