Miyazaki Takafumi

ミヤザキタカフミ | Miyazaki Takafumi

Affiliation and department：
Job title： Associate Professor
Homepage URL (2)： https://www.sci.st.gunma-u.ac.jp/index.html , https://www.sci.st.gunma-u.ac.jp/index_e.html

Research field (1)： Algebra

Research keywords (4)： Diophantine equation , exponential Diophantine equation , purely exponential Diophantine equation , System of Pellian equations

Research theme for competitive and other funds (5)：

2024 - 2029 代数的無理数の実効的な有理近似と指数型ディオファントス方程式
2020 - 2024 Algebraic and analytic study on exponential equations related to Fermat's equation
2016 - 2020 Study of Diophantine problems related to polynomial-exponential Diophantine equations
2013 - 2016 Study of multiplicative structures of families of linear recuurence sequences and exponential Diophantine equations
2011 - 2013 Terai's conjecture and Jesmanowicz' conjecture on Diophantine equations

Papers (32)：

Takafumi Miyazaki, István Pink. Number of solutions to a special type of unit equations in two unknowns, II. Research in Number Theory. 2024. 10. 2
Takafumi Miyazaki, István Pink. Number of solutions to a special type of unit equations in two unknowns. American Journal of Mathematics. 2024. 146. 2. 295-369
Takafumi Miyazaki, Masaki Sudo, Nobuhiro Terai. A purely exponential Diophantine equation in three unknowns. Periodica Mathematica Hungarica. 2021. 84. 2. 287-298
Takafumi Miyazaki. Coincidence between two binary recurrent sequences of polynomials arising from Diophantine triples. Tokyo Journal of Mathematics. 2019. 42. 2. 611-619
Takafumi Miyazaki. Application of cubic residue theory to an exponential equation concerning Eisenstein triples. Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. 2019. 62. 110. 305-312

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MISC (14)：

Maohua Le, Takafumi Miyazaki. An application of $abc$-conjecture to a conjecture of Scott and Styer on purely exponential equations. 2024
Number of solutions to a special type of Pillai's equation. 2024. 2285. 200-208
Takafumi Miyazaki, István Pink. Number of solutions to a special type of unit equations in two unknowns, III. 2024
Takafumi Miyazaki. Number of solutions to some purely exponential Diophantine equation in three unknowns. 2022. 2222. 212-218
宮崎隆史. On Terai's exponential equation with two finite integer parameters. 数理解析研究所考究緑. 2018. 2092. 50-59

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Lectures and oral presentations (52)：

特別な純指数型不定方程式の解の個数の最良評価とその応用
(明学セミナー 2024)
Number of solutions to a special type of unit equations in two unknowns III
(NUMBER THEORY SEMINAR 2024)
Number of solutions to a special type of unit equations in two unknowns III
(Diophantine Analysis and Related Fields 2024 2024)
Number of solutions to a special type of Pillai’s equation
(Analytic Number Theory and Related Topics 2023)
Number of solutions to a special type of Pillai’s equation
(25th Central European Number Theory Conference 2023)

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Education (1)：

2009 - 2012 Tokyo Metropolitan University

Professional career (1)：

Dr. Science (Tokyo Metropolitan University)

Work history (5)：

2018/10 - 現在 Gunma University Associate professor
2015/09 - 2018/09 Gunma University Assistant professor
2013/04 - 2015/08 JSPS Fellows (PD)
2012/04 - 2013/03 JSPS Fellows (PD)
2011/04 - 2012/03 JSPS Fellows (DC2)

Committee career (2)：

2023/01 - 現在 Notes on Number Theory and Discrete Mathematics Editorial Board Member
2024/03 - 2025/03 日本数学会地方区代議員

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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