Edit Profile (opens in new tab) Hata, Masayoshi Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0608.28003Hata, Masayoshi 122 1985 The Takagi function and its generalization. Zbl 0604.26004Hata, Masayoshi; Yamaguti, Masaya 49 1984 Rational approximations to \(\pi\) and some other numbers. Zbl 0776.11033Hata, Masayoshi 35 1993 Mathematics of fractals. Transl. from the Japanese by Kiki Hudson. Zbl 0888.58030Yamaguti, Masaya; Hata, Masayoshi; Kigami, Jun 21 1997 Legendre type polynomials and irrationality measures. Zbl 0692.10034Hata, Masayoshi 21 1990 On the linear independence of the values of polylogarithmic functions. Zbl 0712.11040Hata, Masayoshi 17 1990 On some properties of set-dynamical systems. Zbl 0573.54033Hata, Masayoshi 16 1985 Euler’s finite difference scheme and chaos in \(R^ n\). Zbl 0544.58015Hata, Masayoshi 13 1982 \(\mathbf{C}^{2}\)-saddle method and Beukers’ integral. Zbl 0996.11048Hata, Masayoshi 10 2000 Dynamics of Caianiello’s equation. Zbl 0502.39005Hata, Masayoshi 10 1982 Weierstrass’ function and chaos. Zbl 0522.26006Yamaguti, Masaya; Hata, Masayoshi 10 1983 Rational approximations to the dilogarithm. Zbl 0768.11022Hata, Masayoshi 9 1993 A note on Beukers’ integral. Zbl 0830.11026Hata, Masayoshi 7 1995 A new irrationality measure for \(\zeta(3)\). Zbl 0955.11023Hata, Masayoshi 6 2000 Topological aspects of self-similar sets and singular functions. Zbl 0765.54032Hata, Masayoshi 6 1991 Irrationality measures of the values of hypergeometric functions. Zbl 0760.11020Hata, Masayoshi 6 1992 The irrationality of \(\log(1+1/q) \log(1-1/q)\). Zbl 0918.11040Hata, Masayoshi 4 1998 Singularities of the Weierstrass type functions. Zbl 0663.26004Hata, Masayoshi 4 1988 Padé approximation to the logarithmic derivative of the Gauss hypergeometric function. Zbl 1114.33002Hata, Masayoshi; Huttner, Marc 4 2002 On continuous functions with no unilateral derivatives. Zbl 0641.26010Hata, Masayoshi 4 1988 A lower bound for rational approximations to \(\pi\). Zbl 0776.11034Hata, Masayoshi 4 1993 On the functional equation \(1/p\cdot \{f(x/p)+\cdots +f((x+p- 1)/p)\}=\lambda f(\mu x)\). Zbl 0583.39006Hata, Masayoshi 4 1985 Neurons. A mathematical ignition. Zbl 1311.39008Hata, Masayoshi 3 2015 Remarks on Mahler’s transcendence measure for \(e\). Zbl 0839.11027Hata, Masayoshi 3 1995 Improvement in the irrationality measures of \(\pi\) and \(\pi^ 2\). Zbl 0776.11035Hata, Masayoshi 2 1992 Note on the fractional parts of \(\lambda\theta^n\). Zbl 1221.11209Hata, Masayoshi 2 2005 Farey fractions and sums over coprime pairs. Zbl 0823.11004Hata, Masayoshi 1 1995 Fractals in mathematics. Zbl 0658.28003Hata, Masayoshi 1 1986 On the Hausdorff dimension of spherical limit sets. Zbl 0617.28006Hata, Masayoshi 1 1986 On Weierstraß’ non-differentiable function. Zbl 0645.26006Hata, Masayoshi 1 1988 Differentiable functions which do not satisfy a uniform Lipschitz condition of any order. Zbl 0747.26003Hata, Masayoshi 1 1991 Fractals – on self-similar sets. Zbl 0755.58040Hata, Masayoshi 1 1990 On some multigrid finite difference schemes which describe everywhere non differentiable functions. Zbl 0565.26005Yamaguti, Masaya; Hata, Masayoshi 1 1984 Scrambled sets on compact metric spaces. Zbl 0587.54060Hata, Masayoshi 1 1984 Neurons. A mathematical ignition. Zbl 1311.39008Hata, Masayoshi 3 2015 Note on the fractional parts of \(\lambda\theta^n\). Zbl 1221.11209Hata, Masayoshi 2 2005 Padé approximation to the logarithmic derivative of the Gauss hypergeometric function. Zbl 1114.33002Hata, Masayoshi; Huttner, Marc 4 2002 \(\mathbf{C}^{2}\)-saddle method and Beukers’ integral. Zbl 0996.11048Hata, Masayoshi 10 2000 A new irrationality measure for \(\zeta(3)\). Zbl 0955.11023Hata, Masayoshi 6 2000 The irrationality of \(\log(1+1/q) \log(1-1/q)\). Zbl 0918.11040Hata, Masayoshi 4 1998 Mathematics of fractals. Transl. from the Japanese by Kiki Hudson. Zbl 0888.58030Yamaguti, Masaya; Hata, Masayoshi; Kigami, Jun 21 1997 A note on Beukers’ integral. Zbl 0830.11026Hata, Masayoshi 7 1995 Remarks on Mahler’s transcendence measure for \(e\). Zbl 0839.11027Hata, Masayoshi 3 1995 Farey fractions and sums over coprime pairs. Zbl 0823.11004Hata, Masayoshi 1 1995 Rational approximations to \(\pi\) and some other numbers. Zbl 0776.11033Hata, Masayoshi 35 1993 Rational approximations to the dilogarithm. Zbl 0768.11022Hata, Masayoshi 9 1993 A lower bound for rational approximations to \(\pi\). Zbl 0776.11034Hata, Masayoshi 4 1993 Irrationality measures of the values of hypergeometric functions. Zbl 0760.11020Hata, Masayoshi 6 1992 Improvement in the irrationality measures of \(\pi\) and \(\pi^ 2\). Zbl 0776.11035Hata, Masayoshi 2 1992 Topological aspects of self-similar sets and singular functions. Zbl 0765.54032Hata, Masayoshi 6 1991 Differentiable functions which do not satisfy a uniform Lipschitz condition of any order. Zbl 0747.26003Hata, Masayoshi 1 1991 Legendre type polynomials and irrationality measures. Zbl 0692.10034Hata, Masayoshi 21 1990 On the linear independence of the values of polylogarithmic functions. Zbl 0712.11040Hata, Masayoshi 17 1990 Fractals – on self-similar sets. Zbl 0755.58040Hata, Masayoshi 1 1990 Singularities of the Weierstrass type functions. Zbl 0663.26004Hata, Masayoshi 4 1988 On continuous functions with no unilateral derivatives. Zbl 0641.26010Hata, Masayoshi 4 1988 On Weierstraß’ non-differentiable function. Zbl 0645.26006Hata, Masayoshi 1 1988 Fractals in mathematics. Zbl 0658.28003Hata, Masayoshi 1 1986 On the Hausdorff dimension of spherical limit sets. Zbl 0617.28006Hata, Masayoshi 1 1986 On the structure of self-similar sets. Zbl 0608.28003Hata, Masayoshi 122 1985 On some properties of set-dynamical systems. Zbl 0573.54033Hata, Masayoshi 16 1985 On the functional equation \(1/p\cdot \{f(x/p)+\cdots +f((x+p- 1)/p)\}=\lambda f(\mu x)\). Zbl 0583.39006Hata, Masayoshi 4 1985 The Takagi function and its generalization. Zbl 0604.26004Hata, Masayoshi; Yamaguti, Masaya 49 1984 On some multigrid finite difference schemes which describe everywhere non differentiable functions. Zbl 0565.26005Yamaguti, Masaya; Hata, Masayoshi 1 1984 Scrambled sets on compact metric spaces. Zbl 0587.54060Hata, Masayoshi 1 1984 Weierstrass’ function and chaos. Zbl 0522.26006Yamaguti, Masaya; Hata, Masayoshi 10 1983 Euler’s finite difference scheme and chaos in \(R^ n\). Zbl 0544.58015Hata, Masayoshi 13 1982 Dynamics of Caianiello’s equation. Zbl 0502.39005Hata, Masayoshi 10 1982 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year