Komatsu Takao

Research field (4)： Basic analysis , Applied mathematics and statistics , Basic mathematics , Algebra

Research keywords (9)： Numerical semigroups , Topological index , スターリング数 , フロベニウスの線形ディオファントス問題 , 連分数 , Bernoulli numbers and Cauchy numbers , フィボナッチ数 , 組合せ解析 , ディオファントス解析

Research theme for competitive and other funds (6)：

2014 - 2014 Diophantine Analysis of the linear equations
2010 - 2014 Analytic, Algebraic and Combinatorial studies on continued fractions
2012 - 2012 Diophantine problems by the linear relations
2006 - 2009 Research on Quasi-periodic continued fractions in terms of Special functions
2003 - 2005 Tasoev's continued fraction and its applications

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Papers (188)：

Takao Komatsu, Pin Wang. A generalization of Mneimneh's binomial sum of harmonic numbers. Discrete Mathematics. 2024. 347. 5. 113945-113945
Takao Komatsu, Ruze Yin. p-Numerical Semigroups of the Triples of the Sequence (a^n-b^n)/(a-b). Springer Proceedings in Mathematics and Statistics. 2024. 15-29
Haotian Ying, Takao Komatsu. P-Frobenius problem and p-symmetric numerical semigroup. Journal of Zhejiang Sci-Tech University. 2024. 51. 2. 265-270
Takao Komatsu. On the determination of p-Frobenius and related numbers using the p-Apéry set. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 2024. 118. 2
Khalil Ayadi, Takao Komatsu. Continued Fraction Expansions Towards Zaremba’s Conjecture. Experimental Mathematics. 2023. 1-13

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MISC (35)：

Takao Komatsu, Neha Gupta, Manoj Upreti. Frobenius numbers associated with Diophantine triples of $x^2+y^2=z^r$ (extended version). 2024
Takao Komatsu. Asymmetric circular graph with hosoya index and negative continued fractions. 2021
Takao Komatsu, Yuan Zhang. Weighted sylvester sums on the frobenius set. 2021
Takao Komatsu. Stirling numbers with level $2$ and poly-Bernoulli numbers with level $2. 2021
Takao Komatsu. Recurrence relations of poly-Cauchy numbers by the $r$-Stirling transform. 2021

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Books (5)：

線形代数学講義と演習 : 連立方程式の解法から学ぶ
大学教育出版 2010 ISBN:9784887309715
Diophantine analysis and related fields
American Institute of Physics 2010 ISBN:9780735408159
解析的整数論の新しい展開
京都大学数理解析研究所 2009
初等整数論9章
森北出版 2008 ISBN:9784627081628
Diophantine analysis and related fields, DARF 2007/2008 : DARF 2007, Yokohama, Japan 7-9 March 2007, DARF 2008, Kyoto, Japan, 5-7 March 2008
American Institute of Physics 2008 ISBN:9780735404953

Lectures and oral presentations (40)：

Diophantine problems associated with the equations $x^2+y^2=z^r$
(International Conference on Recent Advances in Mathematical Physical and Chemical Sciences (ICRAMPC-2024) 2024)
The $p$-Frobenius number for the triple of the star numbers
(Seminar, Indian Institute of Technology Ropar 2024)
Frobenius numbers associated with Diophantine triples of $x^2+y^2=z^r$ (extended version)
(Mathematical Sciences Colloquium, Shiv Nadar Institution of Eminence (SNIOE) 2024)
Diophantine problems of the equations $x^2 - y^2 = z^r$
(Research on automorphic forms 2024)
The $p$-numerical semigroup under some computational aspects
(Seminar, Beijing University of Technology 2023)

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Professional career (1)：

Committee career (7)：

2022/08 - 現在 International Science Group World Journal of Mathematics and Statistics ( 数学与统计 ) 编委会
2021/02 - 現在 Academic Council of Oles Honchar Dnipro National University, Ukraine Editor of Researches in Mathematics
2020/10 - 現在 Earthline Publishers Editor of Earthline Journal of Mathematical Sciences
1997/01 - 現在 American Mathematical Society Reviewer of Mathematica Reviews
1994/01 - 現在 European Mathematical Society Reviewer of zbMATH Open

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Awards (2)：

2023/12 - 東京理科大学理窓博士会学術賞連分数とディオファントス解析、フロベニウス問題、フィボナッチ数やスターリング数などの多角的研究における国際的功績と貢献
2015/02 - Hubei Provincial Recruitment Program of Foreign Experts

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