saitou kota

College of Science and Technology Department of MathematicsResearch Assistant

Degree

  • Bachelor of Science, Saitama University, Mar. 2017
  • Master of Mathematical Science, Nagoya University, Mar. 2019
  • Doctor of Mathematical Science, Nagoya University, Sep. 2021

Research Keyword

  • Pisot number
  • Irrational numbers
  • Theory of uniform distributions
  • Transcendental number
  • Prime-representing constant
  • Fractal dimension
  • Piatetski-Shapiro sequence
  • Arithmetic progression
  • Diophantine approximation
  • Fractal geometry
  • Analytic number theory

Field Of Study

  • Natural sciences, Algebra, Diophantine approximation
  • Natural sciences, Geometry, Fractal geometry
  • Natural sciences, Algebra, Analytic number theory

Career

  • Apr. 2026 - Present
    Nihon University, College of Science and Technology Department of Mathematics, Assistant Professor
  • Apr. 2025 - Mar. 2026
    Nihon University, College of Science and Technology Department of Mathematics, Research assistant
  • Apr. 2022 - Mar. 2025
    University of Tsukuba, Faculty of Pure and Applied Sciences, JSPS research fellow for young scientists (PD)
  • Sep. 2024 - Jan. 2025
    日本大学, 生産工学部, 非常勤講師
  • Oct. 2023 - Nov. 2024
    Saitama University, Faculty of Science, Part-time teacher
  • Jun. 2024 - Aug. 2024
    東京工業大学, 非常勤講師
  • Apr. 2023 - Mar. 2024
    Sophia University, Part-time teacher
  • Sep. 2022 - Mar. 2023
    武蔵浦和日本語学院, 非常勤講師
  • Sep. 2021 - Mar. 2022
    Nagoya University, Graduate School of Mathematics Division of Mathematics, JSPS research fellow for young scientists (PD)
  • Apr. 2019 - Sep. 2021
    Nagoya University, Graduate School of Mathematics Division of Mathematics, JSPS research fellow for young scientists (DC1)

Educational Background

  • Apr. 2019 - Sep. 2021
    Nagoya University, Graduate School of Mathematics, Division of Mathematics
  • Apr. 2017 - Mar. 2019
    Nagoya University, Graduate School of Mathematics, Division of Mathematics
  • Apr. 2013 - Mar. 2017
    Saitama University, Faculty of Science, Department of Mathematics

Member History

  • Mar. 2026 - Feb. 2027

Award

  • Jun. 2021
    名古屋大学, 名古屋大学学術奨励賞
  • Mar. 2019
    名古屋大学大学院多元数理科学研究科, 多元数理論文賞
  • Nov. 2018
    日本数学会社会連携協議会(数学・数理科学専攻若手研究者のための異分野・異業種研究交流会2018), ベストポスター発表
  • Mar. 2017
    埼玉大学, 埼玉大学理学部成績優秀者賞
  • Mar. 2015
    埼玉大学, 埼玉大学理学部数学科成績優秀賞
  • Mar. 2014
    埼玉大学, 埼玉大学理学部数学科成績優秀賞

Paper

  • ★Transcendency of variants of Mills’ constant
    Kota Saito
    The Ramanujan Journal, Aug. 2026, Refereed
  • ★Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences
    Kota Saito
    Acta Arithmetica, Mar. 2026, Refereed
  • ★A criterion for the simple normality of fractional powers of two via the Riemann zeta function
    Yuya Kanado; Kota Saito
    Canadian Journal of Mathematics, May 2025, Refereed
  • ★Mills' constant is irrational
    Kota Saito
    Mathematika, May 2025, Refereed
  • ★Topological properties and algebraic independence of sets of prime-representing constants
    Kota Saito; Wataru Takeda
    Mathematika, Apr. 2022, Refereed
  • ★Linear equations with two variables in Piatetski-Shapiro sequences
    Kota Saito
    Acta Arithmetica, 2022, Refereed
  • ★Linear Diophantine equations in Piatetski-Shapiro sequences
    Toshiki Matsusaka; Kota Saito
    Acta Arithmetica, 2021, Refereed
  • ★Dimensions of Sets Which Uniformly Avoid Arithmetic Progressions
    Jonathan M. Fraser; Kota Saito; Han Yu
    International Mathematics Research Notices, Jul. 2019, Refereed
  • ★Arithmetic Progressions in the Graphs of Slightly Curved Sequences
    Kota Saito; Yuuya Yoshida
    Journal of Integer Sequences, 2019, Refereed
  • Intervals without primes near an iterated linear recurrence sequence
    Kota Saito
    International Journal of Number Theory, Mar. 2026, Refereed
  • ケーキカット問題に数学の動的教材を活用する
    柴山 将一; 一瀬 陽雲; 齋藤 耕太; 鈴木 潔光; 鷲尾 夕紀子; 平田 典子
    公益社団法人日本工学教育協会 2025年度第73回年次大会・工学教育研究講演会 査読付き口頭発表論文集, Jul. 2025, Refereed
  • Some remarks on the [x/n]-sequence
    Kota Saito; Yuta Suzuki; Wataru Takeda; Yuuya Yoshida
    Research in Number Theory, Apr. 2025, Refereed
  • Palindromes and Antipalindromes in Short Intervals
    Prapanpong Pongsriiam; Kota Saito
    Journal of Integer Sequences, Dec. 2023, Refereed
  • Transcendence of Values of the Iterated Exponential Function at Algebraic Points
    Hirotaka Kobayashi; Kota Saito; Wataru Takeda
    Journal of Integer Sequences, 2023, Refereed
  • A system of certain linear Diophantine equations on analogs of squares
    Yuya Kanado; Kota Saito
    Acta Arithmetica, 2023, Refereed
  • Prime-representing functions and Hausdorff dimension
    K. Saito
    Acta Mathematica Hungarica, Oct. 2021, Refereed
  • Distributions of finite sequences represented by polynomials in Piatetski-Shapiro sequences
    Kota Saito; Yuuya Yoshida
    Journal of Number Theory, May 2021, Refereed
  • Construction of a one-dimensional set which asymptotically and omnidirectionally contains arithmetic progressions
    Kota Saito
    Journal of Fractal Geometry, 2020, Refereed
  • A fractal proof of the infinitude of primes
    Kota Saito
    Lithuanian Mathematical Journal, Jul. 2019, Refereed

MISC

  • 素数を表す不思議な定数
    大学への数学 (2025年9月号), Aug. 2025, Invited
  • ミルズの定数は無理数である
    齋藤 耕太
    2024年度(第31回)整数論サマースクール報告集「超越数論」, Sep. 2024, Not refereed
  • TRANSCENDENTAL PARAMETERS OF ANALOGS OF SQUARES FOR SOLVING A CERTAIN SYSTEM OF EQUATIONS (Analytic Number Theory and Related Topics)
    Kota Saito
    数理解析研究所講究録, Jul. 2023, Not refereed, Not invited
  • 平方数の類似を解にもつ線形ディオファントス連立方程式
    齋藤 耕太
    第14回福岡数論研究集会報告集, Dec. 2022, Not refereed
  • TRANSCENDENCE OF THE MINIMUM OF PRIME-REPRESENTING CONSTANTS (Analytic Number Theory and Related Topics)
    Kota Saito
    数理解析研究所講究録, Jun. 2022, Not refereed
  • A CONJECTURE TO FIND FOUR-TERM ARITHMETIC PROGRESSIONS OF PIATETSKI-SHAPIRO SEQUENCES (Integrated Research on Random Dynamical Systems and Multi-Valued Dynamical Systems)
    Kota Saito
    数理解析研究所講究録, Apr. 2022, Not refereed
  • THREE-TERM ARITHMETIC PROGRESSIONS OF PIATETSKI-SHAPIRO SEQUENCES (Problems and Prospects in Analytic Number Theory)
    Kota Saito
    数理解析研究所講究録, Aug. 2021, Not refereed
  • Szemerédi's theorem and fractal dimensions of sets avoiding (κ, ε)-arithmetic progressions (Research on the Theory of Random Dynamical Systems and Fractal Geometry)
    Kota Saito
    数理解析研究所講究録, Apr. 2021, Not refereed
  • 弱い等差数列とフラクタル次元を用いたSzemerédiの定理と同値な条件について (解析的整数論とその周辺)
    齋藤 耕太
    数理解析研究所講究録, Jul. 2020, Not refereed, Not invited
  • ON A SIMPLE PROOF OF SLIGHTLY CURVED SEQUENCES CONTAINING ARBITRARILY LONG ARITHMETIC PROGRESSIONS (Analytic Number Theory and Related Topics)
    Kota Saito
    数理解析研究所講究録, Oct. 2019, Not refereed

Lectures, oral presentations, etc.

  • ★Arithmetic properties of prime-representing constants
    Kota Saito
    Numeration and Substitution 2025, Sep. 2025, Invited
  • ★ミルズの定数は超越数か?
    齋藤 耕太
    東北-名古屋ゼータ若手研究集会, Mar. 2025, Invited
  • ★数列の整数部分および小数部分の数論的性質
    齋藤 耕太
    日本数学会2024年度秋季総合分科会代数学分科会特別講演, Sep. 2024, Invited
  • ★Linear Diophantine equations on Piatetski-Shapiro sequences
    Kota Saito
    第68回代数学シンポジウム, Sep. 2023, Invited
  • ★Topological properties and algebraic independence of sets of prime-representing constants
    Kota Saito
    Journées Arithmétiques 2023, Jul. 2023, Not invited
  • ★素数表現定数の集合の位相的性質と代数的独立性
    齋藤 耕太
    数学会2022年度秋季総合分科会, Sep. 2022
  • ★On a new class of sets containing arbitrarily long arithmetic progressions
    Kota Saito
    Zeta Value 2019 (RIKEN), Mar. 2019, Not invited
  • 素数表現定数の最近の進展
    齋藤耕太
    愛媛大学代数セミナー, Aug. 2026, Invited
  • Argument of Pisot powers and its application to Mills’ constant
    Kota Saito
    Doshisha Dynamics Days 2026, Aug. 2026, Invited
  • Recent progress on Mills’ constant
    Kota Saito
    2026早稲田整数論研究集会, Mar. 2026, Invited
  • Mills’ constant is transcendental under the Density Hypothesis
    Diophantine Analysis and Related Fields 2026, Mar. 2026
  • A criterion for the normality of algebraic numbers via the Riemann zeta function
    Kota Saito
    Japan-India Workshop on L-functions and multiple zeta functions, Mar. 2026, Not invited
  • Divisibility of a rapidly increasing sequence
    Kota Saito
    Analytic Number Theory and Special Functions, Dec. 2025, Invited
  • ミルズの定数の無理数性と最近の進展
    齋藤 耕太
    令和7年度第69回理工学部学術講演会, Dec. 2025, Invited
  • ピゾ数のベキ乗とその整数部分の可除性
    齋藤耕太
    数論セミナー(明学セミナー), May 2025, Invited
  • Transcendence of Mills-type constants
    Kota Saito
    Diophantine Analysis and Related Fields 2025, Mar. 2025, Not invited
  • 代数的数の正規性とリーマンゼータ関数
    齋藤 耕太
    ワークショップ「数論とエルゴード理論」(2025年), Feb. 2025, Not invited
  • ミルズの定数は無理数である
    齋藤 耕太
    第3回大分数論研究集会, Jan. 2025, Invited
  • Mills’ constant is irrational
    Kota Saito
    2024 年度 RIMS 共同研究 (公開型) 解析的整数論とその周辺, Oct. 2024, Not invited
  • Mills’ constant is irrational
    Kota Saito
    International conference on probability theory and number theory 2024, Sep. 2024, Not invited
  • ミルズの定数は無理数である
    齋藤 耕太
    整数論サマースクール, Sep. 2024, Invited
  • Mills’ constant is irrational
    Kota Saito
    Saitama Dynamics 2024, Sep. 2024, Invited
  • ミルズの定数は無理数である
    齋藤 耕太
    早稲田整数論セミナー, Aug. 2024, Invited
  • The simple normality of the fractional powers of two and the Riemann zeta function
    Kota Saito
    Diophantine Analysis and Related Fields 2024, Mar. 2024, Not invited
  • The simple normality of the square root of two and the Riemann zeta function
    Kota Saito
    ワークショップ「数論とエルゴード理論」(2024年), Feb. 2024, Not invited
  • The simple normality of the fractional powers of two and the Riemann zeta function
    Kota Saito
    Tsukuba Seminar, Jan. 2024, Not invited
  • Finiteness of solutions of Diophantine equations on Piatetski-Shapiro sequences
    Kota Saito
    2023年度RIMS共 同研究(公開型)「解析的整数論とその周辺」, Oct. 2023, Not invited
  • Finiteness of solutions of Diophantine equations on Piatetski-Shapiro sequences
    Kota Saito
    数論合同セミナー (京都大学), Jun. 2023, Invited
  • Piatetski-Shapiro列における不定方程式の解の有限性について
    齋藤 耕太
    第2回大分数論研究集会, Jan. 2023, Invited
  • A system of certain linear Diophantine equations on analogs of square
    Kota Saito
    津田塾大学整数論ワークショップ2022, Nov. 2022, Invited
  • A system of certain linear Diophantine equations on analogs of squares
    Kota Saito
    Analytic Number Theory and Related Topics, RIMS, Oct. 2022, Not invited
  • A system of certain linear Diophantine equations on analogs of squares
    齋藤 耕太
    第14 回福岡数論研究集会, Aug. 2022, Invited
  • Linear Diophantine equations on certain sparse sets
    齋藤 耕太
    上智大学数学談話会, Jun. 2022, Invited
  • Topological properties and algebraic independence of sets of prime-representing constants
    齋藤 耕太
    第 26 回代数学若手研究会, Mar. 2022, Not invited
  • Prime-representing functions and Hausdorff dimension
    齋藤 耕太
    第 18 回数学総合若手研究集会 ~数学の交叉点~, Mar. 2022
  • Topological properties and algebraic independence of sets of prime-representing constants
    齋藤 耕太
    第 5 回数理新人セミナー, Feb. 2022, Not invited
  • 素数表現定数の集合の位相的性質と代数的独立性
    齋藤 耕太
    Workshop 「数論とエルゴード理論」, Feb. 2022, Not invited
  • 素数表現関数とハウスドルフ次元
    齋藤 耕太
    2021 年度 RIMS 共同研究 (公開型) 解析的整数論とその周辺, Oct. 2021
  • Diophantine equations in Piatetski-Shapiro sequences and Hausdorff dimensions
    齋藤 耕太
    年度RIMS共同研究;型;ランダム力学系および多価写像力学系理論の総合的研究, Aug. 2021, Not invited
  • Piatetski-Shapiro 列の 2 変数線形方程式
    齋藤 耕太
    日本数学会 2021 年度年会, Mar. 2021, Not invited
  • Piatetski-Shapiro 列の Diophantine 方程式
    齋藤 耕太
    第 17 回数学総合若手研究集会, Mar. 2021, Not invited
  • Linear equations with two variables in Piatetski-Shapiro sequences
    齋藤 耕太
    第 14 回ゼータ若手研究集会, Feb. 2021
  • Linear Diophantine equations in Piatetski-Shapiro sequences
    齋藤 耕太
    Diophantine Analysis and Related Fields, Dec. 2020, Not invited
  • Linear Diophantine equations in Piatetski-Shapiro sequences
    齋藤 耕太
    2020年度RIMS共同研究(公開型) 解析的整数論の展望と諸問題, Nov. 2020
  • Piatetski-Shapiro 列からなる等差数列の分布について
    齋藤 耕太
    Friday Tea Time Zoom Seminar, Jun. 2020, Invited
  • セメレディの定理と弱等差数列を含まないフラクタル次元
    齋藤 耕太
    Workshop「数論とエルゴード理論」, Feb. 2020, Not invited
  • セメレディの定理と弱等差数列を含まない集合のフラクタル次元との関係について
    齋藤 耕太
    2019年度RIMS(公開型)解析的整数論とその周辺, Oct. 2019
  • Relations between Szemer ́edi’s theorem and fractal dimensions of sets which do not contain (k, ε)-arithmetic progressions
    齋藤 耕太
    2019年度RIMS(公開型)ランダム力学系理論とフラクタル幾何学の研究, Aug. 2019, Invited
  • On the dimension of a set which contains (weak) arithmetic progressions in every direction
    齋藤 耕太
    東北大学幾何セミナー, May 2019, Invited
  • On a new class of sets containing arbitrarily long arithmetic progressions
    齋藤 耕太
    東北大学整数論セミナー, May 2019, Invited
  • フラクタル次元を用いた素数の無限性の証明
    齋藤 耕太
    第 15 回数学総合若手研究集会, Mar. 2019, Not invited
  • On the dimension of a set which contains weak arithmetic progressions in every direction
    第 12 回ゼータ若手研究集会, Feb. 2019
  • On a new class of sets containing arbitrarily long arithmetic progressions
    齋藤 耕太
    数論とエルゴード理論, Feb. 2019, Not invited
  • 等差数列のボードゲームへの活用
    異分野・異業種研究交流会 2018(日本数学会主催), Nov. 2018, Not invited
  • 漸近的に任意の長さの等差数列を含むがフラクタル次元が 1 である集合の構成
    齋藤 耕太
    2018年度秋季総合分科会, Sep. 2018
  • 小湾曲列中の等差数列
    齋藤 耕太
    2018年度秋季総合分科会, Sep. 2018
  • Arithmetic progressions in the graphs of slightly linear sequences
    Kota Saito
    International conference on number theory, Sep. 2018, Not invited
  • Arithmetic progressions in the graphs of slightly linear sequences
    齋藤 耕太
    九大整数論セミナー, Aug. 2018
  • 漸近的に任意の長さの等差数列を含むがフラクタル次元が 1 である集合の構成
    齋藤 耕太
    解析数論セミナー, Aug. 2018, Not invited
  • 等間隔の列に魅せられて
    齋藤 耕太
    数理ウェーブ, Jun. 2018
  • 新しいフラクタル次元といくつかの応用
    齋藤 耕太
    早稲田整数論セミナー, May 2018, Invited
  • 漸近的に任意の長さの等差数列を含むがフラクタル次元が 1 である集合の構成
    齋藤 耕太
    理解析セミナー,(首都大学東京), Apr. 2018, Invited
  • New fractal dimensions and some applications to arithmetic patches
    齋藤 耕太
    名古屋大学解析数論セミナー, Mar. 2018
  • 等差数列の存在性とフラクタル次元の関係性について
    齋藤 耕太
    第 14 回数学総合若手研究集会, Feb. 2018
  • Relationships between fractal dimensions and arithmetic progressions
    齋藤 耕太
    Workshop「数論とエルゴード理論」, Feb. 2018
  • 等差数列の存在性とフラクタル次元との関係について
    齋藤 耕太
    名古屋大学微分方程式セミナー, Jan. 2018
  • Relationships between arithmetic progressions and fractal dimensions
    齋藤 耕太
    第 8回調和解析中央大セミナー, Dec. 2017
  • 等差数列とフラクタル次元との関係性について
    齋藤 耕太
    解析ゼミ, Oct. 2017

Courses

  • Apr. 2026 - Present
  • Sep. 2024 - Jan. 2025
  • Jun. 2024 - Aug. 2024
  • Multivariable calculus
    Sep. 2023 - Feb. 2024
    Sophia University
  • Intensive course
    Oct. 2023 - Nov. 2023
    Saitama University
  • World of Geometry
    Apr. 2023 - Sep. 2023
    Sophia University
  • Sep. 2022 - Mar. 2023
  • Sep. 2022 - Mar. 2023

Affiliated academic society

  • Sep. 2017 - Present
    日本数学会

Research Themes

  • 素数表現定数の超越性とディオファントス近似
    日本学術振興会, 科学研究費助成事業, 01 Apr. 2025 - 31 Mar. 2029
    齋藤 耕太
  • Diophantine approximation, related problems, and applications to the existence or non-existence of arithmetic progressions
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 08 Mar. 2023 - 31 Mar. 2025
    齋藤 耕太; 齋藤 耕太
  • Diophantine approximation, related problems, and applications to the existence or non-existence of arithmetic progressions
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 22 Apr. 2022 - 31 Mar. 2025
    齋藤 耕太
  • Fractal geometry, zeta functions associated with fractals, and applications to number theory
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 25 Apr. 2019 - 31 Mar. 2022
    齋藤 耕太