## Hata, Masayoshi

Compute Distance To:
 Author ID: hata.masayoshi Published as: Hata, Masayoshi; Hata, M. External Links: Google Scholar
 Documents Indexed: 45 Publications since 1982, including 4 Books 1 Further Contribution Co-Authors: 4 Co-Authors with 9 Joint Publications 49 Co-Co-Authors
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### Co-Authors

 36 single-authored 7 Yamaguti, Masaya 1 Haruki, Shigeru 1 Hayabara, Sirō 1 Hitotumatu, Sin 1 Hukuhara, Masuo 1 Huttner, Marc 1 Ikeuchi, Masatoshi 1 Junji, Kato 1 Kano, Takeshi 1 Kigami, Jun 1 Kimura, Tosihusa 1 1 Kuwagaki, Akira 1 Maeda, Shigeru 1 Matsumura, Akitaka 1 Mauclaire, Jean-Loup 1 Murata, Leo 1 Ozawa, Mitsuru 1 Shimizu, Ryoichi 1 Tanaka, Sen-ichiro 1 Tsuda, Kôichi 1 Tsutsumi, Akira 1 Yamaguchi, Masaya 1 Yanagihara, Niro
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### Serials

 5 Acta Arithmetica 4 Journal of Mathematics of Kyoto University 3 Journal of Number Theory 3 Proceedings of the Japan Academy. Series A 3 Transactions of the American Mathematical Society 3 Series on Number Theory and its Applications 2 Journal d’Analyse Mathématique 2 Japan Journal of Applied Mathematics 1 Annales de l’Institut Fourier 1 Hokkaido Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Sūgaku 1 Sugaku Expositions 1 Journal of the Australian Mathematical Society. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Topology Proceedings 1 Translations of Mathematical Monographs
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### Fields

 17 Number theory (11-XX) 14 Real functions (26-XX) 11 Difference and functional equations (39-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 General topology (54-XX) 5 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 Functions of a complex variable (30-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 400 times in 331 Documents Cited by Year
On the structure of self-similar sets. Zbl 0608.28003
Hata, Masayoshi
1985
The Takagi function and its generalization. Zbl 0604.26004
Hata, Masayoshi; Yamaguti, Masaya
1984
Rational approximations to $$\pi$$ and some other numbers. Zbl 0776.11033
Hata, Masayoshi
1993
Mathematics of fractals. Transl. from the Japanese by Kiki Hudson. Zbl 0888.58030
Yamaguti, Masaya; Hata, Masayoshi; Kigami, Jun
1997
Legendre type polynomials and irrationality measures. Zbl 0692.10034
Hata, Masayoshi
1990
On the linear independence of the values of polylogarithmic functions. Zbl 0712.11040
Hata, Masayoshi
1990
On some properties of set-dynamical systems. Zbl 0573.54033
Hata, Masayoshi
1985
Euler’s finite difference scheme and chaos in $$R^ n$$. Zbl 0544.58015
Hata, Masayoshi
1982
$$\mathbf{C}^{2}$$-saddle method and Beukers’ integral. Zbl 0996.11048
Hata, Masayoshi
2000
Dynamics of Caianiello’s equation. Zbl 0502.39005
Hata, Masayoshi
1982
Weierstrass’ function and chaos. Zbl 0522.26006
Yamaguti, Masaya; Hata, Masayoshi
1983
Rational approximations to the dilogarithm. Zbl 0768.11022
Hata, Masayoshi
1993
A note on Beukers’ integral. Zbl 0830.11026
Hata, Masayoshi
1995
A new irrationality measure for $$\zeta(3)$$. Zbl 0955.11023
Hata, Masayoshi
2000
Topological aspects of self-similar sets and singular functions. Zbl 0765.54032
Hata, Masayoshi
1991
Irrationality measures of the values of hypergeometric functions. Zbl 0760.11020
Hata, Masayoshi
1992
The irrationality of $$\log(1+1/q) \log(1-1/q)$$. Zbl 0918.11040
Hata, Masayoshi
1998
Singularities of the Weierstrass type functions. Zbl 0663.26004
Hata, Masayoshi
1988
Padé approximation to the logarithmic derivative of the Gauss hypergeometric function. Zbl 1114.33002
Hata, Masayoshi; Huttner, Marc
2002
On continuous functions with no unilateral derivatives. Zbl 0641.26010
Hata, Masayoshi
1988
A lower bound for rational approximations to $$\pi$$. Zbl 0776.11034
Hata, Masayoshi
1993
On the functional equation $$1/p\cdot \{f(x/p)+\cdots +f((x+p- 1)/p)\}=\lambda f(\mu x)$$. Zbl 0583.39006
Hata, Masayoshi
1985
Neurons. A mathematical ignition. Zbl 1311.39008
Hata, Masayoshi
2015
Remarks on Mahler’s transcendence measure for $$e$$. Zbl 0839.11027
Hata, Masayoshi
1995
Improvement in the irrationality measures of $$\pi$$ and $$\pi^ 2$$. Zbl 0776.11035
Hata, Masayoshi
1992
Note on the fractional parts of $$\lambda\theta^n$$. Zbl 1221.11209
Hata, Masayoshi
2005
Farey fractions and sums over coprime pairs. Zbl 0823.11004
Hata, Masayoshi
1995
Fractals in mathematics. Zbl 0658.28003
Hata, Masayoshi
1986
On the Hausdorff dimension of spherical limit sets. Zbl 0617.28006
Hata, Masayoshi
1986
On Weierstraß’ non-differentiable function. Zbl 0645.26006
Hata, Masayoshi
1988
Differentiable functions which do not satisfy a uniform Lipschitz condition of any order. Zbl 0747.26003
Hata, Masayoshi
1991
Fractals – on self-similar sets. Zbl 0755.58040
Hata, Masayoshi
1990
On some multigrid finite difference schemes which describe everywhere non differentiable functions. Zbl 0565.26005
Yamaguti, Masaya; Hata, Masayoshi
1984
Scrambled sets on compact metric spaces. Zbl 0587.54060
Hata, Masayoshi
1984
Neurons. A mathematical ignition. Zbl 1311.39008
Hata, Masayoshi
2015
Note on the fractional parts of $$\lambda\theta^n$$. Zbl 1221.11209
Hata, Masayoshi
2005
Padé approximation to the logarithmic derivative of the Gauss hypergeometric function. Zbl 1114.33002
Hata, Masayoshi; Huttner, Marc
2002
$$\mathbf{C}^{2}$$-saddle method and Beukers’ integral. Zbl 0996.11048
Hata, Masayoshi
2000
A new irrationality measure for $$\zeta(3)$$. Zbl 0955.11023
Hata, Masayoshi
2000
The irrationality of $$\log(1+1/q) \log(1-1/q)$$. Zbl 0918.11040
Hata, Masayoshi
1998
Mathematics of fractals. Transl. from the Japanese by Kiki Hudson. Zbl 0888.58030
Yamaguti, Masaya; Hata, Masayoshi; Kigami, Jun
1997
A note on Beukers’ integral. Zbl 0830.11026
Hata, Masayoshi
1995
Remarks on Mahler’s transcendence measure for $$e$$. Zbl 0839.11027
Hata, Masayoshi
1995
Farey fractions and sums over coprime pairs. Zbl 0823.11004
Hata, Masayoshi
1995
Rational approximations to $$\pi$$ and some other numbers. Zbl 0776.11033
Hata, Masayoshi
1993
Rational approximations to the dilogarithm. Zbl 0768.11022
Hata, Masayoshi
1993
A lower bound for rational approximations to $$\pi$$. Zbl 0776.11034
Hata, Masayoshi
1993
Irrationality measures of the values of hypergeometric functions. Zbl 0760.11020
Hata, Masayoshi
1992
Improvement in the irrationality measures of $$\pi$$ and $$\pi^ 2$$. Zbl 0776.11035
Hata, Masayoshi
1992
Topological aspects of self-similar sets and singular functions. Zbl 0765.54032
Hata, Masayoshi
1991
Differentiable functions which do not satisfy a uniform Lipschitz condition of any order. Zbl 0747.26003
Hata, Masayoshi
1991
Legendre type polynomials and irrationality measures. Zbl 0692.10034
Hata, Masayoshi
1990
On the linear independence of the values of polylogarithmic functions. Zbl 0712.11040
Hata, Masayoshi
1990
Fractals – on self-similar sets. Zbl 0755.58040
Hata, Masayoshi
1990
Singularities of the Weierstrass type functions. Zbl 0663.26004
Hata, Masayoshi
1988
On continuous functions with no unilateral derivatives. Zbl 0641.26010
Hata, Masayoshi
1988
On Weierstraß’ non-differentiable function. Zbl 0645.26006
Hata, Masayoshi
1988
Fractals in mathematics. Zbl 0658.28003
Hata, Masayoshi
1986
On the Hausdorff dimension of spherical limit sets. Zbl 0617.28006
Hata, Masayoshi
1986
On the structure of self-similar sets. Zbl 0608.28003
Hata, Masayoshi
1985
On some properties of set-dynamical systems. Zbl 0573.54033
Hata, Masayoshi
1985
On the functional equation $$1/p\cdot \{f(x/p)+\cdots +f((x+p- 1)/p)\}=\lambda f(\mu x)$$. Zbl 0583.39006
Hata, Masayoshi
1985
The Takagi function and its generalization. Zbl 0604.26004
Hata, Masayoshi; Yamaguti, Masaya
1984
On some multigrid finite difference schemes which describe everywhere non differentiable functions. Zbl 0565.26005
Yamaguti, Masaya; Hata, Masayoshi
1984
Scrambled sets on compact metric spaces. Zbl 0587.54060
Hata, Masayoshi
1984
Weierstrass’ function and chaos. Zbl 0522.26006
Yamaguti, Masaya; Hata, Masayoshi
1983
Euler’s finite difference scheme and chaos in $$R^ n$$. Zbl 0544.58015
Hata, Masayoshi
1982
Dynamics of Caianiello’s equation. Zbl 0502.39005
Hata, Masayoshi
1982
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### Cited by 366 Authors

 12 Zudilin, Wadim 10 Hata, Masayoshi 9 Strobin, Filip 9 Thuswaldner, Jörg Maximilian 8 Matala-aho, Tapani 8 Rivoal, Tanguy 8 Shiota, Yasunobu 7 Luo, Jun 7 Salikhov, Vladislav Khasanovich 7 Sekiguchi, Takeshi 7 Viola, Carlo 6 Akiyama, Shigeki 6 Ngai, Sze-Man 6 Okamura, Kazuki 6 Tatsumi, Keiji 6 Ye, Yuanling 5 Loridant, Benoit 5 Luchin, Mikhaĭl Yur’evich 5 Luo, Jun Jason 5 Nowak, Magdalena 5 Tanino, Tetsuzo 4 Aihara, Kazuyuki 4 Bashmakova, Mariya Gennad’evna 4 Fischler, Stéphane 4 Lau, Kasing 4 Leung, King-Shun 4 Marcovecchio, Raffaele 4 Okada, Tatsuya 4 Polyanskiĭ, Aleksandr Andreevich 3 Allaart, Pieter C. 3 Arimoto, Shigeru 3 Banakh, Taras Onufrievich 3 Cristea, Ligia-Loreta 3 De Amo, Enrique 3 Diaz Carrillo, Manuel 3 Dubuc, Serge 3 Dumitru, Dan 3 Fernández-Sánchez, Juan 3 Hessami Pilehrood, Khodabakhsh 3 Hessami Pilehrood, Tatiana 3 Hirai, Kazumasa 3 Kaneko, Kunihiko 3 Kataoka, Naoto 3 Kawamura, Kiko 3 Leśniak, Krzysztof 3 Liu, Chuntai 3 Miculescu, Radu 3 Mihail, Alexandru 3 Rao, Hui 3 Rhin, Georges 3 Samuel, Mary Jemima 3 Sirvent, Víctor F. 3 Steinsky, Bertran 3 Sumi, Hiroki 3 Tetenov, Andreĭ Viktorovich 3 Van Assche, Walter 2 Alonso-Ruiz, Patricia 2 Amoroso, Francesco Antonio 2 Bandt, Christoph 2 Barnsley, Michael Fielding 2 Bondareva, Inna Vasil’evna 2 Conner, Gregory R. 2 Demir, Bunyamin 2 Deng, Guotai 2 Drozdov, Dmitry 2 Ernvall-Hytönen, Anne-Maria 2 Ferrera, Juan 2 Gaspard, Pierre 2 Gomez Gil, Javier 2 Huttner, Marc 2 Ibuki, Takeru 2 Ioana, Loredana 2 Iri, Masao 2 Jiang, Yunping 2 Kameyama, Atsushi 2 Karatsuba, Ekaterina Anatol’evna 2 Kigami, Jun 2 Kirat, Ibrahim 2 Kitada, Akihiko 2 Kono, Norio 2 Lapidus, Michel L. 2 Leppälä, Kalle 2 Liu, Jingcheng 2 Maślanka, Łukasz 2 Nesterenko, Yuriĭ Valentinovich 2 Özdemir, Yunus 2 Prévost, Marc 2 Sal’nikova, E. S. 2 Saltan, Mustafa 2 Sato, Hiroshi 2 Seppälä, Louna 2 Solomyak, Boris 2 Swaczyna, Jarosław 2 Szarek, Tomasz Jakub 2 Takahashi, Hayato 2 Takeo, Fukiko 2 Tomashevskaya, Elena Bronislavovna 2 Ushio, Toshimitsu 2 Väänänen, Keijo O. 2 Wang, Lian ...and 266 more Authors
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### Cited in 132 Serials

 16 Journal of Mathematical Analysis and Applications 12 Chaos, Solitons and Fractals 11 Topology and its Applications 11 Japan Journal of Applied Mathematics 10 Mathematical Notes 10 Journal of Number Theory 9 Monatshefte für Mathematik 8 Transactions of the American Mathematical Society 8 Japan Journal of Industrial and Applied Mathematics 8 Fractals 7 Journal of Computational and Applied Mathematics 7 Proceedings of the American Mathematical Society 7 Proceedings of the Japan Academy. Series A 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Journal de Théorie des Nombres de Bordeaux 5 Mathematics of Computation 5 Annales de l’Institut Fourier 5 Ergodic Theory and Dynamical Systems 5 Aequationes Mathematicae 4 Rocky Mountain Journal of Mathematics 4 Acta Mathematica Hungarica 4 Physica D 4 Journal of Mathematical Sciences (New York) 4 Chebyshevskiĭ Sbornik 3 Nonlinearity 3 Geometriae Dedicata 3 Real Analysis Exchange 3 Constructive Approximation 3 Indagationes Mathematicae. New Series 3 Russian Mathematics 3 Journal of Mathematical Chemistry 3 Journal of Fractal Geometry 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 International Journal of Systems Science 2 Moscow University Mathematics Bulletin 2 Problems of Information Transmission 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Theoretical Computer Science 2 Acta Applicandae Mathematicae 2 Topological Methods in Nonlinear Analysis 2 Russian Journal of Mathematical Physics 2 Mathematical Logic Quarterly (MLQ) 2 Doklady Mathematics 2 Chaos 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Central European Journal of Mathematics 2 Fixed Point Theory and Applications 2 International Journal of Number Theory 2 Annales Mathématiques du Québec 1 International Journal of Modern Physics B 1 Biological Cybernetics 1 International Journal of Control 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Ukrainian Mathematical Journal 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Mathematical Economics 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Advances in Applied Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Journal of Complexity 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of Economic Dynamics & Control 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Kyushu Journal of Mathematics ...and 32 more Serials
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### Cited in 42 Fields

 128 Measure and integration (28-XX) 99 Number theory (11-XX) 85 Dynamical systems and ergodic theory (37-XX) 45 Real functions (26-XX) 35 General topology (54-XX) 27 Special functions (33-XX) 22 Approximations and expansions (41-XX) 18 Probability theory and stochastic processes (60-XX) 16 Difference and functional equations (39-XX) 16 Operator theory (47-XX) 16 Convex and discrete geometry (52-XX) 13 Biology and other natural sciences (92-XX) 12 Computer science (68-XX) 11 Combinatorics (05-XX) 11 Numerical analysis (65-XX) 10 Functions of a complex variable (30-XX) 10 Ordinary differential equations (34-XX) 7 Potential theory (31-XX) 7 Operations research, mathematical programming (90-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Partial differential equations (35-XX) 4 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mathematical logic and foundations (03-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Algebraic geometry (14-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)