## Nishioka, Kumiko

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

33 Publications have been cited 254 times in 158 Documents Cited by Year
Mahler functions and transcendence. Zbl 0876.11034
Nishioka, Kumiko
1996
Arithmetical properties of a certain power series. Zbl 0770.11039
Nishioka, Kumiko; Shiokawa, Iekata; Tamura, Jun-ichi
1992
New approach in Mahler’s method. Zbl 0694.10035
Nishioka, Kumiko
1990
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0902.11029
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
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
2001
Transcendence of Jacobi’s theta series. Zbl 0884.11030
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1996
An inductive method for proving the transcendence of certain series. Zbl 1049.11078
Duverney, Daniel; Nishioka, Kumiko
2003
Algebraic independence of Mahler functions and their values. Zbl 0852.11036
Nishioka, Kumiko
1996
Algebraic independence by Mahler’s method and $$S$$-unit equations. Zbl 0802.11029
Nishioka, Kumiko
1994
Algebraic independence of certain power series of algebraic numbers. Zbl 0589.10035
Nishioka, Kumiko
1986
Algebraic independence of reciprocal sums of binary recurrences. Zbl 0870.11042
Nishioka, Kumiko
1997
Algebraic independence of reciprocal sums of binary recurrences. II. Zbl 1020.11050
Nishioka, Kumiko
2002
Evertse theorem in algebraic independence. Zbl 0676.10024
Nishioka, K.
1989
Transcendence of Jacobi’s theta series and related results. Zbl 0938.11039
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1998
$$p$$-adic transcendental numbers. Zbl 0687.10027
Nishioka, Kumiko
1990
Algebraic independence measures of the values of Mahler functions. Zbl 0736.11034
Nishioka, Kumiko
1991
Proof of Masser’s conjecture on the algebraic independence of values of Liouville series. Zbl 0618.10032
Nishioka, Kumiko
1986
On a problem of Mahler for transcendency of function values. Zbl 0502.10018
Nishioka, Kumiko
1982
Algebraic independence of sums of reciprocals of the Fibonacci numbers. Zbl 0939.11028
Nishioka, Kumiko; Tanaka, Taka-aki; Toshimitsu, Takeshi
1999
On a problem of Mahler for transcendency of function values. II. Zbl 0542.10025
Nishioka, Kumiko
1983
Algebraic theory of difference equations and Mahler functions. Zbl 1327.11052
Nishioka, Kumiko; Nishioka, Seiji
2012
Note on a paper by Mahler. Zbl 0820.11044
Nishioka, Kumiko
1993
On an estimate for the orders of zeros of Mahler type functions. Zbl 0719.11041
Nishioka, Kumiko
1990
Algebraic independence of three Liouville series. Zbl 0596.10036
Nishioka, Kumiko
1986
Conditions for algebraic independence of certain power series of algebraic numbers. Zbl 0615.10042
Nishioka, Kumiko
1987
Substitution in two symbols and transcendence. Zbl 0940.11015
Nishioka, Kumiko; Tanaka, Taka-aki; Wen, Zhi-Ying
1999
Autonomous equations of Mahler type and transcendence. Zbl 1391.11091
Nishioka, Kumiko; Nishioka, Seiji
2015
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0946.11510
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1998
Algebraic independence of Fredholm series. Zbl 0991.11042
Nishioka, Kumiko
2001
The 2-adic representations attached to elliptic curves defined over Q whose points of order 2 are all Q-rational. Zbl 0526.14019
Nishioka, Kumiko
1983
Algebraic independence of functions satisfying a certain system of functional equations. Zbl 0807.39014
Nishioka, Keiji; Nishioka, Kumiko
1994
Transcendence measures and nonlinear functional equations of Mahler type. Zbl 0704.11014
Nishioka, Kumiko; Töpfer, Thomas
1991
Algebraic independence of elementary functions and its application to Masser’s vanishing theorem. Zbl 0723.11033
Nishioka, Keiji; Nishioka, Kumiko
1990
Autonomous equations of Mahler type and transcendence. Zbl 1391.11091
Nishioka, Kumiko; Nishioka, Seiji
2015
Algebraic theory of difference equations and Mahler functions. Zbl 1327.11052
Nishioka, Kumiko; Nishioka, Seiji
2012
An inductive method for proving the transcendence of certain series. Zbl 1049.11078
Duverney, Daniel; Nishioka, Kumiko
2003
Algebraic independence of reciprocal sums of binary recurrences. II. Zbl 1020.11050
Nishioka, Kumiko
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
2001
Algebraic independence of Fredholm series. Zbl 0991.11042
Nishioka, Kumiko
2001
Algebraic independence of sums of reciprocals of the Fibonacci numbers. Zbl 0939.11028
Nishioka, Kumiko; Tanaka, Taka-aki; Toshimitsu, Takeshi
1999
Substitution in two symbols and transcendence. Zbl 0940.11015
Nishioka, Kumiko; Tanaka, Taka-aki; Wen, Zhi-Ying
1999
Transcendence of Jacobi’s theta series and related results. Zbl 0938.11039
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1998
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0946.11510
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1998
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0902.11029
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1997
Algebraic independence of reciprocal sums of binary recurrences. Zbl 0870.11042
Nishioka, Kumiko
1997
Mahler functions and transcendence. Zbl 0876.11034
Nishioka, Kumiko
1996
Transcendence of Jacobi’s theta series. Zbl 0884.11030
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1996
Algebraic independence of Mahler functions and their values. Zbl 0852.11036
Nishioka, Kumiko
1996
Algebraic independence by Mahler’s method and $$S$$-unit equations. Zbl 0802.11029
Nishioka, Kumiko
1994
Algebraic independence of functions satisfying a certain system of functional equations. Zbl 0807.39014
Nishioka, Keiji; Nishioka, Kumiko
1994
Note on a paper by Mahler. Zbl 0820.11044
Nishioka, Kumiko
1993
Arithmetical properties of a certain power series. Zbl 0770.11039
Nishioka, Kumiko; Shiokawa, Iekata; Tamura, Jun-ichi
1992
Algebraic independence measures of the values of Mahler functions. Zbl 0736.11034
Nishioka, Kumiko
1991
Transcendence measures and nonlinear functional equations of Mahler type. Zbl 0704.11014
Nishioka, Kumiko; Töpfer, Thomas
1991
New approach in Mahler’s method. Zbl 0694.10035
Nishioka, Kumiko
1990
$$p$$-adic transcendental numbers. Zbl 0687.10027
Nishioka, Kumiko
1990
On an estimate for the orders of zeros of Mahler type functions. Zbl 0719.11041
Nishioka, Kumiko
1990
Algebraic independence of elementary functions and its application to Masser’s vanishing theorem. Zbl 0723.11033
Nishioka, Keiji; Nishioka, Kumiko
1990
Evertse theorem in algebraic independence. Zbl 0676.10024
Nishioka, K.
1989
Conditions for algebraic independence of certain power series of algebraic numbers. Zbl 0615.10042
Nishioka, Kumiko
1987
Algebraic independence of certain power series of algebraic numbers. Zbl 0589.10035
Nishioka, Kumiko
1986
Proof of Masser’s conjecture on the algebraic independence of values of Liouville series. Zbl 0618.10032
Nishioka, Kumiko
1986
Algebraic independence of three Liouville series. Zbl 0596.10036
Nishioka, Kumiko
1986
On a problem of Mahler for transcendency of function values. II. Zbl 0542.10025
Nishioka, Kumiko
1983
The 2-adic representations attached to elliptic curves defined over Q whose points of order 2 are all Q-rational. Zbl 0526.14019
Nishioka, Kumiko
1983
On a problem of Mahler for transcendency of function values. Zbl 0502.10018
Nishioka, Kumiko
1982
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### 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
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### 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
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### 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)

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