論文等

[査読付き論文]

1. Palindromes and Antipalindromes in Short Intervals, J. Integer Seq. 26 (2023), Article 23.9.5, 28 pp. (with Prapanpong Pongsriiam) [journal]

2. A system of certain linear Diophantine equations on analogs of squares, Acta Arith. 207 (2023), 251-277, (with Yuya Kanado) [arXiv] [journal].

3. 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). [arXiv] [journal]

4. Topological properties and algebraic independence of sets of prime-representing constants. Mathematika, 68 (2022), no. 2, 429–453 (with Wataru Takeda). [journal] [arXiv]

5. Linear equations with two variables in Piatetski-Shapiro sequences, Acta Arith. 202 (2022), no. 2, 161–171. [journal] [arXiv]

6. Prime-representing functions and Hausdorff dimension. Acta Math. Hungar. 165 (2021), no. 1, 203–217. [journal] [arXiv] 

7. Linear Diophantine equations in Piatetski-Shapiro sequences, Acta Arith. 200 (2021), no. 1, 91–110 (with Toshiki Matsusaka).  [journal] [arXiv] 

8. Distributions of finite sequences represented by polynomials in Piatetski-Shapiro sequences, J. Number Theory, Volume 222, 2021, 115–156 (with Yuuya Yoshida). [journal] [arXiv] 

9. Construction of a one-dimensional set which asymptotically and omnidirectionally contains arithmetic progressions. J. Fractal Geom. 7 (2020), no. 4, 319–327. [journal] [arXiv]

10. A fractal proof of the infinitude of primes. Lith.Math.J. 59 (2019), no. 3, 408–411. [journal] [arXiv] 

11. 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] 

12. 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)]

1. 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]

2. 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]

3. 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]

4. 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]

5. 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, RIMS 講究録 No.2162 Analytic Number Theory and Related Topics 解析的整数論とその周辺. [link]

6. 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(投稿中)]

1. Mills' constant is irrational, preprint 2024 [arXiv]

2. Some remarks on the $[x/n]$-sequence,  preprint 2023 (with  Yuta Suzuki, Wataru Takeda, Yuuya Yoshida) [arXiv]

3. The simple normality of the fractional powers of two and the Riemann zeta function, preprint 2023 (with Yuya Kanado) [arXiv]

4. Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences, preprint 2023 [arXiv]．

5. New bounds for dimensions of a set uniformly avoiding multi-dimensional arithmetic progressions, preprint 2019. [arXiv]

6. New fractal dimensions and some applications to arithmetic patches, preprint 2018. [arXiv]

最終更新日：2024年5月24日