Edit Profile (opens in new tab) Nishioka, Kumiko Compute Distance To: Compute Author ID: nishioka.kumiko Published as: Nishioka, Kumiko; Nishioka, K. External Links: Wikidata · GND · IdRef Documents Indexed: 45 Publications since 1982, including 3 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 12 Co-Authors with 18 Joint Publications 94 Co-Co-Authors all top 5 Co-Authors 28 single-authored 6 Nishioka, Keiji 6 Shiokawa, Iekata 5 Duverney, Daniel 3 Tanaka, Taka-aki 2 Nishioka, Seiji 2 Wen, Zhi-Ying 1 Amoroso, Francesco Antonio 1 Becker, Paul-Georg 1 Bertrand, Daniel 1 Brownawell, W. Dale 1 Bundschuh, Peter 1 Laurent, Michel 1 Nesterenko, Yuriĭ Valentinovich 1 Philippon, Patrice 1 Rémond, Guy 1 Roy, Damien 1 Taki, Hisako 1 Tamura, Jun-ichi 1 Töpfer, Thomas 1 Toshimitsu, Takeshi 1 Waldschmidt, Michel all top 5 Serials 4 RIMS Kokyuroku 3 Acta Arithmetica 3 Archiv der Mathematik 3 Proceedings of the Japan Academy. Series A 3 Tsukuba Journal of Mathematics 3 Seminar on Mathematical Sciences 2 Compositio Mathematica 2 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Aequationes Mathematicae 2 Lecture Notes in Mathematics 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of the Australian Mathematical Society. Series A 1 Journal de Théorie des Nombres de Bordeaux 1 Translations. Series 2. American Mathematical Society all top 5 Fields 46 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 254 times in 158 Documents Cited by ▼ Year ▼ Mahler functions and transcendence. Zbl 0876.11034Nishioka, Kumiko 83 1996 Arithmetical properties of a certain power series. Zbl 0770.11039Nishioka, Kumiko; Shiokawa, Iekata; Tamura, Jun-ichi 16 1992 New approach in Mahler’s method. Zbl 0694.10035Nishioka, Kumiko 16 1990 Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0902.11029Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata 13 1997 Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032 13 2001 Transcendence of Jacobi’s theta series. Zbl 0884.11030Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata 11 1996 An inductive method for proving the transcendence of certain series. Zbl 1049.11078Duverney, Daniel; Nishioka, Kumiko 9 2003 Algebraic independence of Mahler functions and their values. Zbl 0852.11036Nishioka, Kumiko 8 1996 Algebraic independence by Mahler’s method and \(S\)-unit equations. Zbl 0802.11029Nishioka, Kumiko 8 1994 Algebraic independence of certain power series of algebraic numbers. Zbl 0589.10035Nishioka, Kumiko 7 1986 Algebraic independence of reciprocal sums of binary recurrences. Zbl 0870.11042Nishioka, Kumiko 7 1997 Algebraic independence of reciprocal sums of binary recurrences. II. Zbl 1020.11050Nishioka, Kumiko 6 2002 Evertse theorem in algebraic independence. Zbl 0676.10024Nishioka, K. 6 1989 Transcendence of Jacobi’s theta series and related results. Zbl 0938.11039Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata 5 1998 \(p\)-adic transcendental numbers. Zbl 0687.10027Nishioka, Kumiko 5 1990 Algebraic independence measures of the values of Mahler functions. Zbl 0736.11034Nishioka, Kumiko 5 1991 Proof of Masser’s conjecture on the algebraic independence of values of Liouville series. Zbl 0618.10032Nishioka, Kumiko 4 1986 On a problem of Mahler for transcendency of function values. Zbl 0502.10018Nishioka, Kumiko 4 1982 Algebraic independence of sums of reciprocals of the Fibonacci numbers. Zbl 0939.11028Nishioka, Kumiko; Tanaka, Taka-aki; Toshimitsu, Takeshi 3 1999 On a problem of Mahler for transcendency of function values. II. Zbl 0542.10025Nishioka, Kumiko 3 1983 Algebraic theory of difference equations and Mahler functions. Zbl 1327.11052Nishioka, Kumiko; Nishioka, Seiji 3 2012 Note on a paper by Mahler. Zbl 0820.11044Nishioka, Kumiko 3 1993 On an estimate for the orders of zeros of Mahler type functions. Zbl 0719.11041Nishioka, Kumiko 3 1990 Algebraic independence of three Liouville series. Zbl 0596.10036Nishioka, Kumiko 2 1986 Conditions for algebraic independence of certain power series of algebraic numbers. Zbl 0615.10042Nishioka, Kumiko 2 1987 Substitution in two symbols and transcendence. Zbl 0940.11015Nishioka, Kumiko; Tanaka, Taka-aki; Wen, Zhi-Ying 2 1999 Autonomous equations of Mahler type and transcendence. Zbl 1391.11091Nishioka, Kumiko; Nishioka, Seiji 1 2015 Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0946.11510Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata 1 1998 Algebraic independence of Fredholm series. Zbl 0991.11042Nishioka, Kumiko 1 2001 The 2-adic representations attached to elliptic curves defined over Q whose points of order 2 are all Q-rational. Zbl 0526.14019Nishioka, Kumiko 1 1983 Algebraic independence of functions satisfying a certain system of functional equations. Zbl 0807.39014Nishioka, Keiji; Nishioka, Kumiko 1 1994 Transcendence measures and nonlinear functional equations of Mahler type. Zbl 0704.11014Nishioka, Kumiko; Töpfer, Thomas 1 1991 Algebraic independence of elementary functions and its application to Masser’s vanishing theorem. Zbl 0723.11033Nishioka, Keiji; Nishioka, Kumiko 1 1990 Autonomous equations of Mahler type and transcendence. Zbl 1391.11091Nishioka, Kumiko; Nishioka, Seiji 1 2015 Algebraic theory of difference equations and Mahler functions. Zbl 1327.11052Nishioka, Kumiko; Nishioka, Seiji 3 2012 An inductive method for proving the transcendence of certain series. Zbl 1049.11078Duverney, Daniel; Nishioka, Kumiko 9 2003 Algebraic independence of reciprocal sums of binary recurrences. II. Zbl 1020.11050Nishioka, Kumiko 6 2002 Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032 13 2001 Algebraic independence of Fredholm series. Zbl 0991.11042Nishioka, Kumiko 1 2001 Algebraic independence of sums of reciprocals of the Fibonacci numbers. Zbl 0939.11028Nishioka, Kumiko; Tanaka, Taka-aki; Toshimitsu, Takeshi 3 1999 Substitution in two symbols and transcendence. Zbl 0940.11015Nishioka, Kumiko; Tanaka, Taka-aki; Wen, Zhi-Ying 2 1999 Transcendence of Jacobi’s theta series and related results. Zbl 0938.11039Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata 5 1998 Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0946.11510Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata 1 1998 Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0902.11029Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata 13 1997 Algebraic independence of reciprocal sums of binary recurrences. Zbl 0870.11042Nishioka, Kumiko 7 1997 Mahler functions and transcendence. Zbl 0876.11034Nishioka, Kumiko 83 1996 Transcendence of Jacobi’s theta series. Zbl 0884.11030Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata 11 1996 Algebraic independence of Mahler functions and their values. Zbl 0852.11036Nishioka, Kumiko 8 1996 Algebraic independence by Mahler’s method and \(S\)-unit equations. Zbl 0802.11029Nishioka, Kumiko 8 1994 Algebraic independence of functions satisfying a certain system of functional equations. Zbl 0807.39014Nishioka, Keiji; Nishioka, Kumiko 1 1994 Note on a paper by Mahler. Zbl 0820.11044Nishioka, Kumiko 3 1993 Arithmetical properties of a certain power series. Zbl 0770.11039Nishioka, Kumiko; Shiokawa, Iekata; Tamura, Jun-ichi 16 1992 Algebraic independence measures of the values of Mahler functions. Zbl 0736.11034Nishioka, Kumiko 5 1991 Transcendence measures and nonlinear functional equations of Mahler type. Zbl 0704.11014Nishioka, Kumiko; Töpfer, Thomas 1 1991 New approach in Mahler’s method. Zbl 0694.10035Nishioka, Kumiko 16 1990 \(p\)-adic transcendental numbers. Zbl 0687.10027Nishioka, Kumiko 5 1990 On an estimate for the orders of zeros of Mahler type functions. Zbl 0719.11041Nishioka, Kumiko 3 1990 Algebraic independence of elementary functions and its application to Masser’s vanishing theorem. Zbl 0723.11033Nishioka, Keiji; Nishioka, Kumiko 1 1990 Evertse theorem in algebraic independence. Zbl 0676.10024Nishioka, K. 6 1989 Conditions for algebraic independence of certain power series of algebraic numbers. Zbl 0615.10042Nishioka, Kumiko 2 1987 Algebraic independence of certain power series of algebraic numbers. Zbl 0589.10035Nishioka, Kumiko 7 1986 Proof of Masser’s conjecture on the algebraic independence of values of Liouville series. Zbl 0618.10032Nishioka, Kumiko 4 1986 Algebraic independence of three Liouville series. Zbl 0596.10036Nishioka, Kumiko 2 1986 On a problem of Mahler for transcendency of function values. II. Zbl 0542.10025Nishioka, Kumiko 3 1983 The 2-adic representations attached to elliptic curves defined over Q whose points of order 2 are all Q-rational. Zbl 0526.14019Nishioka, Kumiko 1 1983 On a problem of Mahler for transcendency of function values. Zbl 0502.10018Nishioka, Kumiko 4 1982 all cited Publications top 5 cited Publications all top 5 Cited by 125 Authors 14 Nishioka, Kumiko 14 Väänänen, Keijo O. 11 Bundschuh, Peter 10 Hančl, Jaroslav 9 Coons, Michael 9 Shiokawa, Iekata 8 Tachiya, Yohei 8 Tanaka, Taka-aki 6 Elsner, Carsten 5 Kurosawa, Takeshi 4 Amou, Masaaki 4 Komatsu, Takao 4 Rout, Sudhansu Sekhar 4 Ulas, Maciej 3 Adamczewski, Boris 3 Bugeaud, Yann 3 Chirskiĭ, Vladimir Grigor’evich 3 Duverney, Daniel 3 Hubert, Pascal 3 Kaneko, Hajime 3 Meher, Nabin Kumar 3 Shimomura, Shun 3 Tamura, Jun-ichi 3 Töpfer, Thomas 3 Zhu, Yaochen 2 Aşan, Abdulkadir 2 Bell, Jason P. 2 Chyzak, Frédéric 2 Dreyfus, Thomas 2 Dumas, Philippe 2 Fernandes, Gwladys 2 Kumar, Veekesh 2 Laurent, Michel 2 Luca, Florian 2 Matala-aho, Tapani 2 Menken, Hamza 2 Nishioka, Keiji 2 Nogueira, Arnaldo C. R. 2 Pellarin, Federico 2 Philippon, Patrice 2 Prévost, Marc 2 Rivoal, Tanguy 2 Roques, Julien 2 Rucki, Pavel 2 Tanuma, Yusuke 2 Żmija, Błażej 2 Zorin, Evgeniy V. 1 Adhikari, Sukumar Das 1 Akiyama, Shigeki 1 Allouche, Jean-Paul Simon 1 Anderson, Peter Gordon 1 Ayral, Hakan 1 Badziahin, Dzmitry A. 1 Bailey, David Harold 1 Bazhenova, O. Yu. 1 Borel, Jean-Pierre 1 Borwein, Jonathan Michael 1 Bousquet-Mélou, Mireille 1 Brown, Thomas Craig 1 Cassaigne, Julien 1 Checcoli, Sara 1 Chekhova, Nataliya 1 Chen, Yonggao 1 Chuan, Waifong 1 Corvaja, Pietro 1 Crandall, Richard E. 1 Drensky, Vesselin 1 Ferenczi, Sébastien 1 Ferguson, Timothy 1 Gawron, Maciej 1 Goto, Akinari 1 Gramain, Francois 1 Hardouin, Charlotte 1 Hirata-Kohno, Noriko 1 Icard, Thomas F. III 1 Ide, Haruki 1 Kamano, Ken 1 Kaneko, Masanobu 1 Kanoko, Tomoaki 1 Kisielewski, Tomasz 1 Kwon, DoYong 1 Laubie, François 1 Le Gonidec, Marion 1 Lipka, Eryk Tadeusz 1 Mance, Bill 1 Mañibo, Neil 1 Marques, Diego 1 Mauduit, Christian 1 Messaoudi, Ali 1 Mezzarobba, Marc 1 Mišík, Ladislav jun. 1 Montgomery, Hugh Lowell 1 Nagy, Levente 1 Nair, Radhakrishnan B. 1 Nguyen, Khoa Dang 1 Nishioka, Seiji 1 Novotný, Lukáš 1 Panda, Gopal Krishna 1 Petkovšek, Marko 1 Pomerance, Carl Bernard ...and 25 more Authors all top 5 Cited in 67 Serials 16 Journal of Number Theory 15 Journal de Théorie des Nombres de Bordeaux 7 Archiv der Mathematik 5 Bulletin of the Australian Mathematical Society 5 The Ramanujan Journal 5 Journal of the Australian Mathematical Society 5 International Journal of Number Theory 4 Proceedings of the Japan Academy. Series A 4 Transactions of the American Mathematical Society 3 Rocky Mountain Journal of Mathematics 3 Annales de l’Institut Fourier 3 Compositio Mathematica 3 Functiones et Approximatio. Commentarii Mathematici 3 Monatshefte für Mathematik 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 3 Indagationes Mathematicae. New Series 3 Documenta Mathematica 2 Mathematica Slovaca 2 Theoretical Computer Science 2 Tohoku Mathematical Journal. Second Series 2 Tokyo Journal of Mathematics 2 Acta Mathematica Hungarica 2 Forum Mathematicum 2 Acta Mathematica Sinica. New Series 2 Russian Journal of Mathematical Physics 2 Acta Mathematica Sinica. English Series 2 Mediterranean Journal of Mathematics 2 Journal of Modern Dynamics 2 Research in Number Theory 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematical Psychology 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Journal of the American Mathematical Society 1 Sugaku Expositions 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Aequationes Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Journal of Difference Equations and Applications 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Integers 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 European Journal of Pure and Applied Mathematics 1 Chinese Journal of Mathematics all top 5 Cited in 25 Fields 147 Number theory (11-XX) 13 Difference and functional equations (39-XX) 13 Computer science (68-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Functions of a complex variable (30-XX) 9 Field theory and polynomials (12-XX) 5 Special functions (33-XX) 4 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.