論文等
論文等
[査読付き論文]
A criterion for the simple normality of fractional powers of two via the Riemann zeta function, Canad. J. Math. 2025, 1–24 (with Yuya Kanado) [journal] [arXiv]
Mills' constant is irrational, Mathematika, 71 (2025), No.3, e70027. [journal] [arXiv]
Some remarks on the $[x/n]$-sequence, Res. number theory, 11 (2025) (with Yuta Suzuki, Wataru Takeda, Yuuya Yoshida) [journal] [arXiv]
Palindromes and Antipalindromes in Short Intervals, J. Integer Seq. 26 (2023), Article 23.9.5, 28 pp. (with Prapanpong Pongsriiam) [journal]
A system of certain linear Diophantine equations on analogs of squares, Acta Arith. 207 (2023), 251-277, (with Yuya Kanado) [journal][arXiv]
Transcendence of values of the iterated exponential function at algebraic points, J. integer Seq. 26 (2023), Art. 23.3.3, 18 pp. (with Hirotaka Kobayashi, Wataru Takeda). [journal][arXiv]
Topological properties and algebraic independence of sets of prime-representing constants. Mathematika, 68 (2022), no. 2, 429–453 (with Wataru Takeda). [journal] [arXiv]
Linear equations with two variables in Piatetski-Shapiro sequences, Acta Arith. 202 (2022), no. 2, 161–171. [journal] [arXiv]
Prime-representing functions and Hausdorff dimension. Acta Math. Hungar. 165 (2021), no. 1, 203–217. [journal] [arXiv]
Linear Diophantine equations in Piatetski-Shapiro sequences, Acta Arith. 200 (2021), no. 1, 91–110 (with Toshiki Matsusaka). [journal] [arXiv]
Distributions of finite sequences represented by polynomials in Piatetski-Shapiro sequences, J. Number Theory, Volume 222, 2021, 115–156 (with Yuuya Yoshida). [journal] [arXiv]
Construction of a one-dimensional set which asymptotically and omnidirectionally contains arithmetic progressions. J. Fractal Geom. 7 (2020), no. 4, 319–327. [journal] [arXiv]
A fractal proof of the infinitude of primes. Lith.Math.J. 59 (2019), no. 3, 408–411. [journal] [arXiv]
Dimensions of sets which uniformly avoid arithmetic progressions, Int. Math. Res. Not. IMRN 2019, no. 14, 4419–4430 (with Jonathan M. Fraser and Han Yu). [journal] [arXiv]
Arithmetic progressions in the graphs of slightly curved sequences, J. Integer Seq. 22 (2019), no. 2, Art. 19.2.1, 25 pp (with Yuuya Yoshida). [journal] [arXiv]
[講究録(査読なし)]
ミルズの定数は無理数である，2024年度(第31回)整数論サマースクール報告集「超越数論」，2024年9月，308-335. [link]
TRANSCENDENTAL PARAMETERS OF ANALOGS OF SQUARES FOR SOLVING A CERTAIN SYSTEM OF EQUATIONS, 数理解析研究所講究録，No. 2259， Analytic Number Theory and Related Topics 解析的整数論とその周辺. [link]
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, 第14回福岡数論研究集会報告集, 2022年12月, 63-69. [link]
TRANSCENDENCE OF THE MINIMUM OF PRIME-REPRESENTING CONSTANTS, 数理解析研究所講究録, No.2222 Analytic Number Theory and Related Topics 解析的整数論とその周辺, 107-112. [link]
Three-term arithmetic progressions of Piatetski-Shapiro sequences, 数理解析研究所講究録, No.2196, Analytic Number Theory and Related Topics 解析的整数論とその周辺. [link]
Szemeredi’s theorem and fractal dimensions of sets avoiding (k,ε)-arithmetic progressions, 数理解析研究所講究録, No.2176, Research on the Theory of Random Dynamical Systems and Fractal Geometry ランダム力学系とフラ クタル幾何学の研究. [link]
弱い等差数列とフラクタル次元を用いた Szemerediの定理と同値な条件について, 数理解析研究所講究録 No.2162 Analytic Number Theory and Related Topics 解析的整数論とその周辺. [link]
On a simple proof of slightly curved sequences containing arbitrarily long arithmetic progressions, RIMS 講究録, No.2131 Analytic Number Theory and Related Topics 解析的整数論とその周辺. [link]
[プレプリント]
Transcendency of variants of Mills' constant, preprint 2025 [arXiv].
Intervals without primes near an iterated linear recurrence sequence, preprint 2025 [arXiv].
Normality of algebraic numbers and the Riemann zeta function, preprint 2024 (with Yuya Kanado) [arXiv].
Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences, preprint 2023 [arXiv] to appear in Acta Arithmetica.
New bounds for dimensions of a set uniformly avoiding multi-dimensional arithmetic progressions, preprint 2019 [arXiv].
New fractal dimensions and some applications to arithmetic patches, preprint 2018 [arXiv].
最終更新日：2025年5月8日