Research Articles

1. Product of factorials equals another product of factorials, to appear.

2. Existence of the solutions to the Brocard-Ramanujan problem for norm forms, Proc. Amer. Math. Soc. Ser. B 10 (2023), 413-421 [Journal (Open Access)]

3. (With Maki Nakasuji and Yasuo Ohno) An interpolation of the generalized duality formula for the Schur multiple zeta values to complex functions, J. Math. Soc. Japan. [Journal][arXiv]

4. (With Hirotaka Kobayashi and Kota Saito) Transcendence of values of the iterated exponential function at algebraic points,  J. Integer Seq. 26 (2023), no. 3, Art. 23.3.3, 18pp. [Journal] [arXiv]

5. On the Bhargava factorials of polynomial maps, Comm. Algebra 51 (2023), no. 7, 3124-3133.  [Journal][arXiv]

6. (With Maki Nakasuji) The Pieri formulas for hook type Schur multiple zeta functions,  J. Combin. Theory Ser. A 191 (2022), Paper No. 105642. 31pp. [Journal][arXiv]

7. (With Kota Saito) Topological properties and algebraic independence of sets of prime-representing constants, Mathematika 68 (2022), no. 2, 429-453. [Journal][arXiv]

8. The distribution of rational points for a class of quartic hypersurfaces, Res. number theory 8 (2022), Article number 17. [Journal]

9. On solutions to Erdös' last equation,  Integers 21 (2021), Paper No. A117, 44pp. [Journal (PDF)]

10. On the finiteness of solutions for polynomial-factorial Diophantine equations, Forum Math. 33 (2021), no. 2, 361-374. [Journal][arXiv]

11. Explicit upper bound of the solution-free region for a Diophantine equation over number fields, Lithuanian Mathematical Journal, volume 60 (2020), 107–128. [Journal]

12. Uniform bounds of the Piltz divisor problem over number fields, Pacific J. Math. 301 (2019), no. 2, 601–616. [Corrigendum][Journal][arXiv]

13. Finiteness of trivial solutions of factorial products yielding a factorial over number fields, Acta Arith. 190 (2019), no. 4, 395–401. [Journal][arXiv]

14. A non-commutative multiple Dirichlet power product and an application, J. Number Theory 199 (2019) pp. 310-321. [Journal]

15. (With Shinya Koyama) Estimates of lattice points in the discriminant aspect over abelian extension fields, Forum Math. 30 (2018), no. 3, 767–773. [Journal]

16. Visible lattice points and the extended Lindelöf hypothesis, J. Number Theory 180 (2017), 297–309. [Journal][arXiv]

Preprints(Submitted)

1. The Pieri formula of the multiple zeta functions with fewer conditions

2. (With Maki Nakasuji) Shuffle product formula of the Schur multiple zeta values of hook type [arXiv]

3. (With Maki Nakasuji) Symmetric Schur multiple zeta functions [arXiv]

4. (With Isao Kiuchi) On sums of sums involving the von Mangoldt function

5. (With Kota Saito, Yuta Suzuki and Yuuya Yoshida) Some remarks on the [x/n]-sequence [arXiv]

6. (With Isao Kiuchi) On the weighted average number of subgroups of Z_m× Z_n with mn<= x, II 

arXiv

Proceedings (Mainly written in Japanese)

1. (With Rikuna Tokuda and Hiroshi Sekigawa) 因数分解を利用した多変数多項式のdecomposition, RIMS Kokyuroku No. 2280 (2024), 104-112. [link]

2. (With Ryusei Osada and Hiroshi Sekigawa) ヴィーフェリッヒ素数の多項式の類似, RIMS Kokyuroku No. 2280 (2024), 96-103. [link]

3. Algebraic independence and Linear independence of sets of prime-representing constants, RIMS Kokyuroku No. 2259 (2023), 133-139. [link]

4. (With Yusuke Yamanaka and Hiroshi Sekigawa) マンハッタン距離ボロノイ図からの母点探索, RIMS Kokyuroku No. 2255 (2023), 174-183. [link]

5. (With Fumiya Aoki and Hiroshi Sekigawa) 角度に制限を設けた格子三角形による正方形の三角形分割, RIMS Kokyuroku No. 2255 (2023), 164-173. [link]

6. Hook型Schur多重ゼータ値のShuffle積公式, RIMS Kokyuroku No. 2238 (2023), 26-38. [link]

7. Schur多重ゼータ関数のPieri公式, RIMS Kokyuroku No.2222 (2022), 93-106. [link]

8. 階乗の積が階乗と等しくなるペアについて. RIMS Kokyuroku No.2196 (2021), 150-160. [link]

9. 代数的数の反復べき乗の超越性. 第3回数理新人セミナー報告集 (2020), 14-20. [link]

10. Brocard-Ramanujan problem for irreducible polynomials. RIMS Kokyuroku No.2162 (2020), 115-126. [link]

11. 多項式-階乗関数型方程式の整数解について. 第2回数理新人セミナー報告集 (2019), 103ｰ106. [link]

12. 代数体の階乗型Diophantus方程式の自明解の有限性. 第12回福岡数論研究集会報告集 (2018), 7ｰ12. [link]

13. 代数体のイデアルの数え上げについて. 第1回数理新人セミナー報告集 (2018),191ｰ195. [link]

14. THE DISTRIBUTION OF RELATIVELY R-PRIME LATTICE POINTS. RIMS Kokyuroku No.2092 (2018), 165ｰ177. [link]

15. 原点可視格子点と拡張されたLindelöf予想. 第14回城崎新人セミナー報告集 (2017),191ｰ195. [link]