Edit Profile (opens in new tab) Uchida, Yukihiro Co-Author Distance Author ID: uchida.yukihiro Published as: Uchida, Yukihiro Documents Indexed: 20 Publications since 1971, including 2 Additional arXiv Preprints Co-Authors: 8 Co-Authors with 8 Joint Publications 98 Co-Co-Authors all top 5 Co-Authors 7 single-authored 3 Myoken, Hajime 3 Uchiyama, Shigenori 2 Ishitsuka, Yasuhiro 2 Ito, Tetsushi 2 Ohshita, Tatsuya 2 Sawa, Masanori 1 Onishi, Akihiko 1 Tokunaga, Hiro-o 1 Ukon, Tetuya 1 Yarimizu, Junichi all top 5 Serials 4 JSIAM Letters 1 Astrophysics and Space Science 1 International Journal of Heat and Mass Transfer 1 International Journal of Systems Science 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Metrika 1 Acta Arithmetica 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Proceedings of the Japan Academy. Series A 1 Transactions of the American Mathematical Society all top 5 Fields 12 Number theory (11-XX) 8 Algebraic geometry (14-XX) 4 Statistics (62-XX) 3 Numerical analysis (65-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Special functions (33-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 17 times in 14 Documents Cited by ▼ Year ▼ Forced convective heat transfer in a curved channel with a square cross section. Zbl 0233.76069 Mori, Y.; Uchida, Y.; Ukon, T. 7 1971 Discriminants of classical quasi-orthogonal polynomials with application to Diophantine equations. Zbl 1429.33016 Sawa, Masanori; Uchida, Yukihiro 4 2019 The difference between the ordinary height and the canonical height on elliptic curves. Zbl 1145.11050 Uchida, Yukihiro 3 2008 Canonical local heights and multiplication formulas for the Jacobians of curves of genus 2. Zbl 1229.11096 Uchida, Yukihiro 3 2011 Division polynomials and canonical local heights on hyperelliptic Jacobians. Zbl 1226.14039 Uchida, Yukihiro 2 2011 Valuations of Somos 4 sequences and canonical local heights on elliptic curves. Zbl 1281.11066 Uchida, Yukihiro 2 2011 A minimal canonical form realization for a multivariable econometric system. Zbl 0369.90018 Myoken, H.; Uchida, Y. 2 1977 The generalized ridge estimator and improved adjustments for regression parameters. Zbl 0381.62057 Myoken, H.; Uchida, Y. 2 1977 Magnetodynamic formation of jets in accretion process of magnetized mass onto the central gravitator – cases of forming stars and active galactic nuclei. Zbl 0974.85008 Uchida, Y.; Nakamura, M.; Hirose, S.; Uemura, S. 1 1999 On the difference between the ordinary height and the canonical height on elliptic curves. Zbl 1115.11035 Uchida, Yukihiro 1 2006 The elliptic curve Diffie-Hellman problem and an equivalent hard problem for elliptic divisibility sequences. Zbl 1408.11057 Yarimizu, Junichi; Uchida, Yukihiro; Uchiyama, Shigenori 1 2014 Algebro-geometric aspects of the Christoffel-Darboux kernels for classical orthogonal polynomials. Zbl 1433.42032 Sawa, Masanori; Uchida, Yukihiro 1 2020 Algebro-geometric aspects of the Christoffel-Darboux kernels for classical orthogonal polynomials. Zbl 1433.42032 Sawa, Masanori; Uchida, Yukihiro 1 2020 Discriminants of classical quasi-orthogonal polynomials with application to Diophantine equations. Zbl 1429.33016 Sawa, Masanori; Uchida, Yukihiro 4 2019 The elliptic curve Diffie-Hellman problem and an equivalent hard problem for elliptic divisibility sequences. Zbl 1408.11057 Yarimizu, Junichi; Uchida, Yukihiro; Uchiyama, Shigenori 1 2014 Canonical local heights and multiplication formulas for the Jacobians of curves of genus 2. Zbl 1229.11096 Uchida, Yukihiro 3 2011 Division polynomials and canonical local heights on hyperelliptic Jacobians. Zbl 1226.14039 Uchida, Yukihiro 2 2011 Valuations of Somos 4 sequences and canonical local heights on elliptic curves. Zbl 1281.11066 Uchida, Yukihiro 2 2011 The difference between the ordinary height and the canonical height on elliptic curves. Zbl 1145.11050 Uchida, Yukihiro 3 2008 On the difference between the ordinary height and the canonical height on elliptic curves. Zbl 1115.11035 Uchida, Yukihiro 1 2006 Magnetodynamic formation of jets in accretion process of magnetized mass onto the central gravitator – cases of forming stars and active galactic nuclei. Zbl 0974.85008 Uchida, Y.; Nakamura, M.; Hirose, S.; Uemura, S. 1 1999 A minimal canonical form realization for a multivariable econometric system. Zbl 0369.90018 Myoken, H.; Uchida, Y. 2 1977 The generalized ridge estimator and improved adjustments for regression parameters. Zbl 0381.62057 Myoken, H.; Uchida, Y. 2 1977 Forced convective heat transfer in a curved channel with a square cross section. Zbl 0233.76069 Mori, Y.; Uchida, Y.; Ukon, T. 7 1971 all cited Publications top 5 cited Publications all top 5 Cited by 13 Authors 5 Uchida, Yukihiro 2 Müller, Jan Steffen 2 Sawa, Masanori 1 Bernatska, Julia 1 de Jong, Robin 1 Hirao, Masatake 1 Hone, Andrew N. W. 1 Kim, Seoyoung 1 Kopeliovich, Yaacov 1 Matsumura, Hideki 1 Stumpe, Corinna 1 Ulas, Maciej 1 Zeng, Jinxiang all top 5 Cited in 12 Serials 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Number Theory 1 Periodica Mathematica Hungarica 1 Acta Arithmetica 1 Proceedings of the Japan Academy. Series A 1 Transactions of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 LMS Journal of Computation and Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 JSIAM Letters 1 European Journal of Mathematics 1 Japanese Journal of Statistics and Data Science all top 5 Cited in 11 Fields 10 Number theory (11-XX) 6 Algebraic geometry (14-XX) 3 Special functions (33-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) Citations by Year