Edit Profile (opens in new tab) Hirata-Kohno, Noriko Compute Distance To: Compute Author ID: hirata-kohno.noriko Published as: Hirata-Kohno, Noriko; Hirata, Noriko; Hirata-Kohno, N. more...less Homepage: http://trout.math.cst.nihon-u.ac.jp/~hirata/ External Links: MGP Documents Indexed: 42 Publications since 1985 1 Contribution as Editor Co-Authors: 19 Co-Authors with 18 Joint Publications 542 Co-Co-Authors all top 5 Co-Authors 24 single-authored 6 David, Sinnou 3 Ito, Masaru 3 Kawashima, Makoto 2 Shorey, Tarlok Nath 1 Adam, David 1 Akiyama, Koichiro 1 Bérczes, Attila 1 Evertse, Jan-Hendrik 1 Hajdu, Lajos 1 Huttner, Marc 1 Kovács, Tünde 1 Laishram, Shanta 1 Luca, Florian 1 Motohashi, M. 1 Nakamura, Shuhei 1 Okada, Hironori 1 Pethő, Attila 1 Takada, Rina 1 Tijdeman, Robert 1 Washio, Yusuke all top 5 Serials 10 RIMS Kokyuroku 3 Acta Arithmetica 3 Proceedings of the Japan Academy. Series A 1 International Journal of Modern Physics B 1 Rocky Mountain Journal of Mathematics 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Sugaku Expositions 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Kyushu Journal of Mathematics 1 Interdisciplinary Information Sciences (IIS) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 RIMS Kôkyûroku Bessatsu 1 Moscow Journal of Combinatorics and Number Theory 1 JSIAM Letters 1 International Journal of Mathematics for Industry all top 5 Fields 42 Number theory (11-XX) 7 Algebraic geometry (14-XX) 3 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Approximations and expansions (41-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 78 times in 50 Documents Cited by ▼ Year ▼ Formes linéaires de logarithmes de points algébriques sur les groupes algébriques. (Linear forms in logarithms of algebraic points on algebraic groups). Zbl 0704.11016Hirata-Kohno, Noriko 11 1991 An extension of a theorem of Euler. Zbl 1137.11022Hirata-Kohno, Noriko; Laishram, Shanta; Shorey, T. N.; Tijdeman, R. 10 2007 Linear forms in elliptic logarithms. Zbl 1169.11034David, Sinnou; Hirata-Kohno, Noriko 10 2009 Recent progress on linear forms in elliptic logarithms. Zbl 1041.11053David, Sinnou; Hirata-Kohno, Noriko 7 2002 On the Diophantine equation \(F_n^x+F_{n+1}^x=F_m^y\). Zbl 1332.11042Hirata-Kohno, Noriko; Luca, Florian 5 2015 Simultaneous approximation on commutative algebraic groups. (Approximations simultanées sur les groupes algébriques commutatifs.) Zbl 0776.11038Hirata-Kohno, Noriko 5 1993 A criterion for the linear independence of polylogarithms over a number field. Zbl 1430.11098Hirata-Kohno, Noriko; Ito, Masaru; Washio, Yusuke 4 2017 Linear forms in two elliptic logarithms in the \(p\)-adic case. Zbl 1264.11065Hirata-Kohno, Noriko; Takada, Rina 3 2010 Formes linéaires d’intégrales elliptiques. (Linear forms of elliptic integrals). Zbl 0716.11033Hirata-Kohno, Noriko 3 1990 Dépendance linéaire de fonctions arithmétiques et presque arithmétiques (Linear dependence of arithmetical and almost arithmetical functions). Zbl 0577.10033Hirata, Noriko 2 1985 Wirsing systems and resultant inequalities. Zbl 1049.11113Evertse, Jan-Hendrik; Hirata-Kohno, Noriko 2 2002 A relation between integral points on algebraic curves and rational points of the Jacobian. (Une relation entre les points entiers sur une courbe algébrique et les points rationnels de la Jacobienne.) Zbl 0805.14009Hirata-Kohno, Noriko 2 1993 Can polylogarithms at algebraic points be linearly independent? Zbl 1459.11144David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto 2 2020 Transcendence measures for quotients of periods of elliptic integrals. (Mesures de transcendance pour les quotients de périodes d’intégrales elliptiques.) Zbl 0659.10038Hirata-Kohno, Noriko 2 1989 Optimization for lattices and Diophantine approximations. Zbl 1365.11023Ito, Masaru; Hirata-Kohno, Noriko 1 2013 Arithmetic properties of \(p\)-adic elliptic logarithmic functions. Zbl 1276.11126Hirata-Kohno, Noriko 1 2012 Approximation of periods of meromorphic functions. (Approximation de périodes de fonctions méromorphes.) Zbl 0683.10026Hirata, Noriko 1 1989 On the equation \((x^m-1)/(x-1)=y^q\) with \(x\) power. Zbl 0904.11009Hirata-Kohno, Noriko; Shorey, Tarlok N. 1 1997 New transcendence measures related to commutative algebraic groups. (Nouvelles mesures de transcendance liées aux groupes algébriques commutatifs.) Zbl 0776.11037Hirata-Kohno, Noriko 1 1992 Almost integer-valued functions in positive characteristic. Zbl 1148.13301Adam, David; Hirata-Kohno, Noriko 1 2006 Integral points on an algebraic curve having simple Jacobian. (Les points entiers sur une courbe algébrique ayant la jacobienne simple.) Zbl 0978.11028Hirata-Kohno, Noriko 1 1993 Logarithmic functions and formal groups of elliptic curves. Zbl 1196.11106David, Sinnou; Hirata-Kohno, Noriko 1 2008 A key exchange protocol relying on polynomial maps. Zbl 1467.94023Akiyama, Koichiro; Nakamura, Shuhei; Ito, Masaru; Hirata-Kohno, Noriko 1 2019 Linear forms in polylogarithms. Zbl 07601386David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto 1 2022 Linear forms in polylogarithms. Zbl 07601386David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto 1 2022 Can polylogarithms at algebraic points be linearly independent? Zbl 1459.11144David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto 2 2020 A key exchange protocol relying on polynomial maps. Zbl 1467.94023Akiyama, Koichiro; Nakamura, Shuhei; Ito, Masaru; Hirata-Kohno, Noriko 1 2019 A criterion for the linear independence of polylogarithms over a number field. Zbl 1430.11098Hirata-Kohno, Noriko; Ito, Masaru; Washio, Yusuke 4 2017 On the Diophantine equation \(F_n^x+F_{n+1}^x=F_m^y\). Zbl 1332.11042Hirata-Kohno, Noriko; Luca, Florian 5 2015 Optimization for lattices and Diophantine approximations. Zbl 1365.11023Ito, Masaru; Hirata-Kohno, Noriko 1 2013 Arithmetic properties of \(p\)-adic elliptic logarithmic functions. Zbl 1276.11126Hirata-Kohno, Noriko 1 2012 Linear forms in two elliptic logarithms in the \(p\)-adic case. Zbl 1264.11065Hirata-Kohno, Noriko; Takada, Rina 3 2010 Linear forms in elliptic logarithms. Zbl 1169.11034David, Sinnou; Hirata-Kohno, Noriko 10 2009 Logarithmic functions and formal groups of elliptic curves. Zbl 1196.11106David, Sinnou; Hirata-Kohno, Noriko 1 2008 An extension of a theorem of Euler. Zbl 1137.11022Hirata-Kohno, Noriko; Laishram, Shanta; Shorey, T. N.; Tijdeman, R. 10 2007 Almost integer-valued functions in positive characteristic. Zbl 1148.13301Adam, David; Hirata-Kohno, Noriko 1 2006 Recent progress on linear forms in elliptic logarithms. Zbl 1041.11053David, Sinnou; Hirata-Kohno, Noriko 7 2002 Wirsing systems and resultant inequalities. Zbl 1049.11113Evertse, Jan-Hendrik; Hirata-Kohno, Noriko 2 2002 On the equation \((x^m-1)/(x-1)=y^q\) with \(x\) power. Zbl 0904.11009Hirata-Kohno, Noriko; Shorey, Tarlok N. 1 1997 Simultaneous approximation on commutative algebraic groups. (Approximations simultanées sur les groupes algébriques commutatifs.) Zbl 0776.11038Hirata-Kohno, Noriko 5 1993 A relation between integral points on algebraic curves and rational points of the Jacobian. (Une relation entre les points entiers sur une courbe algébrique et les points rationnels de la Jacobienne.) Zbl 0805.14009Hirata-Kohno, Noriko 2 1993 Integral points on an algebraic curve having simple Jacobian. (Les points entiers sur une courbe algébrique ayant la jacobienne simple.) Zbl 0978.11028Hirata-Kohno, Noriko 1 1993 New transcendence measures related to commutative algebraic groups. (Nouvelles mesures de transcendance liées aux groupes algébriques commutatifs.) Zbl 0776.11037Hirata-Kohno, Noriko 1 1992 Formes linéaires de logarithmes de points algébriques sur les groupes algébriques. (Linear forms in logarithms of algebraic points on algebraic groups). Zbl 0704.11016Hirata-Kohno, Noriko 11 1991 Formes linéaires d’intégrales elliptiques. (Linear forms of elliptic integrals). Zbl 0716.11033Hirata-Kohno, Noriko 3 1990 Transcendence measures for quotients of periods of elliptic integrals. (Mesures de transcendance pour les quotients de périodes d’intégrales elliptiques.) Zbl 0659.10038Hirata-Kohno, Noriko 2 1989 Approximation of periods of meromorphic functions. (Approximation de périodes de fonctions méromorphes.) Zbl 0683.10026Hirata, Noriko 1 1989 Dépendance linéaire de fonctions arithmétiques et presque arithmétiques (Linear dependence of arithmetical and almost arithmetical functions). Zbl 0577.10033Hirata, Noriko 2 1985 all cited Publications top 5 cited Publications all top 5 Cited by 61 Authors 7 Hirata-Kohno, Noriko 4 David, Sinnou 4 Kawashima, Makoto 4 Tengely, Szabolcs 3 Bosser, Vincent 3 Gaudron, Éric 3 Hajdu, Lajos 2 Luca, Florian 2 Patel, Bijan Kumar 2 Ulas, Maciej 1 Altassan, Alaa 1 Amoroso, Francesco Antonio 1 Anglès, Bruno 1 Ballaÿ, François 1 Benoist, Yves 1 Bézivin, Jean-Paul 1 Bridy, Andrew 1 Caveny, Deanna M. 1 Chabert, Jean-Luc 1 Chalebgwa, Taboka Prince 1 Chaves, Ana Paula 1 Evertse, Jan-Hendrik 1 Fischler, Stéphane 1 Fuchs, Clemens 1 Gómez, Carlos Alexis 1 Gómez, Jhonny Carpediem 1 Győry, Kálmán 1 Habegger, Philipp 1 Hirose, Minoru 1 Hulin, Dominique 1 Jones, Gareth A. 1 Kovács, Tünde 1 Kühne, Lars 1 Laishram, Shanta 1 Lemke Oliver, Robert J. 1 Levin, Aaron 1 Marcovecchio, Raffaele 1 Marques, Diego 1 Masser, David William 1 Munshi, Ritabrata 1 Nuida, Koji 1 Pham, Duc Hiep 1 Philippon, Patrice 1 Pintér, Ákos 1 Poels, Anthony 1 Qiu, Shi 1 Rivoal, Tanguy 1 Sato, Nobuo 1 Shallit, Arlo 1 Shallit, Jeffrey O. 1 Surroca, Andrea 1 Suzuki, Keita 1 Taelman, Lenny 1 Teh, Wen Chean 1 Trojovský, Pavel 1 Tubbs, Robert 1 Uchida, Yukihiro 1 Villani, Eric 1 Waldschmidt, Michel 1 Zannier, Umberto M. 1 Zhang, Yong all top 5 Cited in 38 Serials 7 Journal of Number Theory 3 Inventiones Mathematicae 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Arithmetica 2 Compositio Mathematica 2 Journal de Théorie des Nombres de Bordeaux 1 Indian Journal of Pure & Applied Mathematics 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Dissertationes Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Tokyo Journal of Mathematics 1 Acta Mathematica Hungarica 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Taiwanese Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 International Journal of Number Theory 1 Moscow Journal of Combinatorics and Number Theory 1 Actes des Rencontres du C.I.R.M. 1 International Journal of Mathematics for Industry all top 5 Cited in 15 Fields 50 Number theory (11-XX) 10 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year