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## Shiokawa, Iekata

Compute Distance To:
 Author ID: shiokawa.iekata Published as: Shiokawa, I.; Shiokawa, Iekata; Shiokawa, Ietaka External Links: MGP
 Documents Indexed: 70 Publications since 1970, including 3 Books Biographic References: 1 Publication
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#### Co-Authors

 14 single-authored 16 Elsner, Carsten 11 Shimomura, Shun 10 Duverney, Daniel 8 Tamura, Jun-ichi 6 Kurosawa, Takeshi 6 Nishioka, Kumiko 4 Nakai, Yoshinobu 4 Nishioka, Keiji 3 Kaneiwa, Ryuji 3 Komatsu, Takao 3 Tachiya, Yohei 2 Arnoux, Pierre 2 Bundschuh, Peter 2 Ito, Yuji 2 Kano, Hiroyuki 2 Mauduit, Christian 1 Akiyama, Jin 1 Ito, Shunji 1 Kamae, Teturo 1 Kanemitsu, Shigeru 1 Kano, Takeshi 1 Kanoko, Tomoaki 1 Mitsui, Takayoshi 1 Nakada, Hitoshi 1 Nesterenko, Yuriĭ Valentinovich 1 Okada, Shin-ichiro 1 Onoyama, Takuji 1 Son, Jin-Woo 1 Uchiyama, Saburo
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#### Serials

 5 Acta Arithmetica 4 Monatshefte für Mathematik 4 The Ramanujan Journal 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the Japan Academy 2 Archiv der Mathematik 2 Mathematical Journal of Okayama University 2 Tokyo Journal of Mathematics 2 Indagationes Mathematicae. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Moscow Journal of Combinatorics and Number Theory 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Israel Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Approximation Theory 1 Journal of Mathematics of Kyoto University 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Japanese Journal of Mathematics. New Series 1 Osaka Journal of Mathematics 1 Results in Mathematics 1 Tsukuba Journal of Mathematics 1 Acta Mathematica Hungarica 1 Aequationes Mathematicae 1 Glasnik Matematički. Serija III 1 Journal of Mathematical Sciences (New York) 1 RIMS Kokyuroku 1 Seminar on Mathematical Sciences
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#### Fields

 68 Number theory (11-XX) 8 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 228 times in 160 Documents Cited by Year
Complexity of sequences defined by billiard in the cube. Zbl 0791.58034
Arnoux, Pierre; Mauduit, Christian; Shiokawa, Iekata; Tamura, Jun-Ichi
1994
Algebraic relations for reciprocal sums of Fibonacci numbers. Zbl 1132.11036
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2007
Arithmetical properties of a certain power series. Zbl 0770.11039
Nishioka, Kumiko; Shiokawa, Iekata; Tamura, Jun-ichi
1992
Algebraic independence results for reciprocal sums of Fibonacci numbers. Zbl 1231.11080
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2011
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0902.11029
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1997
Transcendence of Jacobi’s theta series. Zbl 0884.11030
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1996
A measure for the linear independence of certain numbers. Zbl 0552.10021
Bundschuh, Peter; Shiokawa, Iekata
1984
Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers. Zbl 1233.11081
Elsner, C.; Shimomura, S.; Shiokawa, I.
2008
A construction of $$\beta$$-normal sequences. Zbl 0292.10040
Ito, Shunji; Shiokawa, I.
1975
Algebraic relations for reciprocal sums of even terms in Fibonacci numbers. Zbl 1345.11011
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2012
Discrepancy estimates for a class of normal numbers. Zbl 0773.11050
Nakai, Yoshinobu; Shiokawa, Iekata
1992
A class of normal numbers. Zbl 0708.11037
Nakai, Yoshinobu; Shiokawa, Iekata
1990
On the sum of digits of prime numbers. Zbl 0301.10047
Shiokawa, Iekata
1974
Ergodic properties of piecewise linear transformations. Zbl 0228.28014
Shiokawa, Iekata
1970
Rational approximations to the values of certain hypergeometric functions. Zbl 0614.10030
Shiokawa, I.
1985
Algebraic independence of certain gap series. Zbl 0474.10029
Shiokawa, Iekata
1982
Transcendence of Jacobi’s theta series and related results. Zbl 0938.11039
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1998
Normality of numbers generated by the values of polynomials at primes. Zbl 0881.11062
Nakai, Yoshinobu; Shiokawa, Iekata
1997
A remark on a theorem of Gel’fond. Zbl 0823.11038
Bundschuh, Peter; Shiokawa, Iekata
1995
Rauzy’s conjecture on billiards in the cube. Zbl 0814.11014
Arnoux, Pierre; Mauduit, Christian; Shiokawa, Iekata; Tamura, Jun-ichi
1994
Rational approximations to the Rogers-Ramanujan continued fraction. Zbl 0655.10031
Shiokawa, Iekata
1988
A remark on Nesterenko’s theorem for Ramanujan functions. Zbl 1263.11071
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2010
Transcendence of reciprocal sums of binary recurrences. Zbl 1194.11078
Kanoko, Tomoaki; Kurosawa, Takeshi; Shiokawa, Iekata
2009
Pattern sequences in $$\langle q,r\rangle$$-numeration systems. Zbl 1185.11010
Shiokawa, I.; Tachiya, Y.
2008
On series involving Fibonacci and Lucas numbers. I. Zbl 1141.11009
Duverney, Daniel; Shiokawa, Iekata
2008
Algebraic independence results related to $$\langle q,r\rangle$$-number systems. Zbl 1116.11056
2006
Rings of normal and nonnormal numbers. Zbl 0789.11044
Kano, Hiroyuki; Shiokawa, Iekata
1993
Point spectrum and Hausdorff dimension. Zbl 0614.28013
Ito, Y.; Kamae, T.; Shiokawa, I.
1985
On algebraic relations for Ramanujan’s functions. Zbl 1277.11079
Elsner, Carsten; Shiokawa, Iekata
2012
A proof of Perron’s theorem on diophantine approximation of complex numbers. Zbl 0409.10021
Shiokawa, Ietaka; Kaneiwa, Ryuji; Tamura, Jun-ichi
1975
On some properties of the dyadic Champernowne numbers. Zbl 0301.10048
Shiokawa, I.; Uchiyama, S.
1975
On a problem in additive number theory. Zbl 0285.10031
Shiokawa, Iekata
1974
Irrationality exponents of numbers related with Cahen’s constant. Zbl 1436.11085
Duverney, Daniel; Shiokawa, Iekata
2020
Transcendence of numbers related with Cahen’s constant. Zbl 1448.11139
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata
2019
Algebraic independence of values of exponential type power series. Zbl 1352.11058
Elsner, Carsten; Nesterenko, Yuri V.; Shiokawa, Iekata
2013
Algebraic independence of certain numbers related to modular functions. Zbl 1290.11109
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2012
Linear relations between pattern sequences in a $$\langle q, r\rangle$$-numeration system. Zbl 1249.11014
Shiokawa, I.; Tachiya, Y.
2011
Algebraic independence results for the sixteen families of $$q$$-series. Zbl 1256.11040
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata; Tachiya, Yohei
2010
On convergents formed from Diophantine equations. Zbl 1233.11031
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata
2009
Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values. Zbl 1233.11018
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2009
Approximation of values of hypergeometric functions by restricted rationals. Zbl 1167.11026
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata
2007
Algebraic relations for reciprocal sums of binary recurrences. Zbl 1155.11041
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2006
$$q$$-linear functions and algebraic independence. Zbl 1100.11022
Kurosawa, Takeshi; Shiokawa, Iekata
2002
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers. Zbl 0946.11510
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1998
On irrationality of the values of certain series. Zbl 0474.10027
Shiokawa, Iekata
1981
Some properties of complex continued fractions. Zbl 0365.10023
Kaneiwa, Ryuji; Shiokawa, Iekata; Tamura, Jun-ichi
1977
Some ergodic properties of a complex continued fraction algorithm. Zbl 0409.10037
Shiokawa, Iekata
1976
$$g$$-adical analogues of some arithmetical functions. Zbl 0307.10016
Shiokawa, Iekata
1974
Irrationality exponents of numbers related with Cahen’s constant. Zbl 1436.11085
Duverney, Daniel; Shiokawa, Iekata
2020
Transcendence of numbers related with Cahen’s constant. Zbl 1448.11139
Duverney, Daniel; Kurosawa, Takeshi; Shiokawa, Iekata
2019
Algebraic independence of values of exponential type power series. Zbl 1352.11058
Elsner, Carsten; Nesterenko, Yuri V.; Shiokawa, Iekata
2013
Algebraic relations for reciprocal sums of even terms in Fibonacci numbers. Zbl 1345.11011
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2012
On algebraic relations for Ramanujan’s functions. Zbl 1277.11079
Elsner, Carsten; Shiokawa, Iekata
2012
Algebraic independence of certain numbers related to modular functions. Zbl 1290.11109
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2012
Algebraic independence results for reciprocal sums of Fibonacci numbers. Zbl 1231.11080
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2011
Linear relations between pattern sequences in a $$\langle q, r\rangle$$-numeration system. Zbl 1249.11014
Shiokawa, I.; Tachiya, Y.
2011
A remark on Nesterenko’s theorem for Ramanujan functions. Zbl 1263.11071
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2010
Algebraic independence results for the sixteen families of $$q$$-series. Zbl 1256.11040
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata; Tachiya, Yohei
2010
Transcendence of reciprocal sums of binary recurrences. Zbl 1194.11078
Kanoko, Tomoaki; Kurosawa, Takeshi; Shiokawa, Iekata
2009
On convergents formed from Diophantine equations. Zbl 1233.11031
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata
2009
Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values. Zbl 1233.11018
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2009
Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers. Zbl 1233.11081
Elsner, C.; Shimomura, S.; Shiokawa, I.
2008
Pattern sequences in $$\langle q,r\rangle$$-numeration systems. Zbl 1185.11010
Shiokawa, I.; Tachiya, Y.
2008
On series involving Fibonacci and Lucas numbers. I. Zbl 1141.11009
Duverney, Daniel; Shiokawa, Iekata
2008
Algebraic relations for reciprocal sums of Fibonacci numbers. Zbl 1132.11036
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2007
Approximation of values of hypergeometric functions by restricted rationals. Zbl 1167.11026
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata
2007
Algebraic independence results related to $$\langle q,r\rangle$$-number systems. Zbl 1116.11056
2006
Algebraic relations for reciprocal sums of binary recurrences. Zbl 1155.11041
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata
2006
$$q$$-linear functions and algebraic independence. Zbl 1100.11022
Kurosawa, Takeshi; Shiokawa, Iekata
2002
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
Normality of numbers generated by the values of polynomials at primes. Zbl 0881.11062
Nakai, Yoshinobu; Shiokawa, Iekata
1997
Transcendence of Jacobi’s theta series. Zbl 0884.11030
Duverney, Daniel; Nishioka, Keiji; Nishioka, Kumiko; Shiokawa, Iekata
1996
A remark on a theorem of Gel’fond. Zbl 0823.11038
Bundschuh, Peter; Shiokawa, Iekata
1995
Complexity of sequences defined by billiard in the cube. Zbl 0791.58034
Arnoux, Pierre; Mauduit, Christian; Shiokawa, Iekata; Tamura, Jun-Ichi
1994
Rauzy’s conjecture on billiards in the cube. Zbl 0814.11014
Arnoux, Pierre; Mauduit, Christian; Shiokawa, Iekata; Tamura, Jun-ichi
1994
Rings of normal and nonnormal numbers. Zbl 0789.11044
Kano, Hiroyuki; Shiokawa, Iekata
1993
Arithmetical properties of a certain power series. Zbl 0770.11039
Nishioka, Kumiko; Shiokawa, Iekata; Tamura, Jun-ichi
1992
Discrepancy estimates for a class of normal numbers. Zbl 0773.11050
Nakai, Yoshinobu; Shiokawa, Iekata
1992
A class of normal numbers. Zbl 0708.11037
Nakai, Yoshinobu; Shiokawa, Iekata
1990
Rational approximations to the Rogers-Ramanujan continued fraction. Zbl 0655.10031
Shiokawa, Iekata
1988
Rational approximations to the values of certain hypergeometric functions. Zbl 0614.10030
Shiokawa, I.
1985
Point spectrum and Hausdorff dimension. Zbl 0614.28013
Ito, Y.; Kamae, T.; Shiokawa, I.
1985
A measure for the linear independence of certain numbers. Zbl 0552.10021
Bundschuh, Peter; Shiokawa, Iekata
1984
Algebraic independence of certain gap series. Zbl 0474.10029
Shiokawa, Iekata
1982
On irrationality of the values of certain series. Zbl 0474.10027
Shiokawa, Iekata
1981
Some properties of complex continued fractions. Zbl 0365.10023
Kaneiwa, Ryuji; Shiokawa, Iekata; Tamura, Jun-ichi
1977
Some ergodic properties of a complex continued fraction algorithm. Zbl 0409.10037
Shiokawa, Iekata
1976
A construction of $$\beta$$-normal sequences. Zbl 0292.10040
Ito, Shunji; Shiokawa, I.
1975
A proof of Perron’s theorem on diophantine approximation of complex numbers. Zbl 0409.10021
Shiokawa, Ietaka; Kaneiwa, Ryuji; Tamura, Jun-ichi
1975
On some properties of the dyadic Champernowne numbers. Zbl 0301.10048
Shiokawa, I.; Uchiyama, S.
1975
On the sum of digits of prime numbers. Zbl 0301.10047
Shiokawa, Iekata
1974
On a problem in additive number theory. Zbl 0285.10031
Shiokawa, Iekata
1974
$$g$$-adical analogues of some arithmetical functions. Zbl 0307.10016
Shiokawa, Iekata
1974
Ergodic properties of piecewise linear transformations. Zbl 0228.28014
Shiokawa, Iekata
1970
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#### Cited by 187 Authors

 18 Shiokawa, Iekata 10 Elsner, Carsten 8 Madritsch, Manfred G. 7 Tachiya, Yohei 6 Bundschuh, Peter 6 Matala-aho, Tapani 6 Shimomura, Shun 6 Väänänen, Keijo O. 5 Hubert, Pascal 5 Komatsu, Takao 5 Kurosawa, Takeshi 5 Tamura, Jun-ichi 4 Bedaride, Nicolas 4 Duverney, Daniel 4 Nishioka, Kumiko 4 Vuillon, Laurent 4 Wang, Andrew Y. Z. 3 Bertrand-Mathis, Anne 3 Borel, Jean-Pierre 3 Hančl, Jaroslav 3 Mauduit, Christian 3 Rout, Sudhansu Sekhar 3 Wallisser, Rolf V. 2 Adamczewski, Boris 2 Blanchet-Sadri, Francine 2 Dutta, Utkal Keshari 2 Kaneko, Hajime 2 Kátai, Imre 2 Laohakosol, Vichian 2 Leppälä, Kalle 2 Luca, Florian 2 Meher, Nabin Kumar 2 Okano, Takeshi 2 Pila, Jonathan 2 Prévost, Marc 2 Ray, Prasanta Kumar 2 Rivat, Joël 2 Schmidt, Asmus L. 2 Tichy, Robert Franz 2 Tijdeman, Robert 2 Vandehey, Joseph 2 Wu, Zhengang 2 Zhang, Fan 1 Adams, William W. 1 Adhikari, Sukumar Das 1 Akiyama, Shigeki 1 Allouche, Jean-Paul Simon 1 Amou, Masaaki 1 Anderson, Peter Gordon 1 Ayral, Hakan 1 Badziahin, Dzmitry A. 1 Bailey, David Harold 1 Balková, L’ubomíra 1 Baryshnikov, Yu. M. 1 Becher, Verónica 1 Behera, Debismita 1 Berend, Daniel 1 Bertazzon, Jean-Francois 1 Bibiloni, Lluís 1 Borwein, Jonathan Michael 1 Bousquet-Mélou, Mireille 1 Bowman, Douglas C. 1 Brown, Thomas Craig 1 Bugeaud, Yann 1 Cangul, Ismail Naci 1 Carton, Olivier 1 Cassaigne, Julien 1 Castelli, M. Gabriella 1 Çevik, Ahmet Sinan 1 Chaichana, Tuangrat 1 Chakarov, Aleksandar 1 Chekhova, Nataliya 1 Chen, Louis Hsiao-Yun 1 Choi, Geumlan 1 Chuan, Waifong 1 Coquet, Jean 1 Crandall, Richard E. 1 Das, Kinkar Chandra 1 De Koninck, Jean-Marie 1 Drmota, Michael 1 Eigen, Stanley J. 1 Farhi, Bakir 1 Ferapontov, Evgeny Vladimirovich 1 Ferenczi, Sébastien 1 Fici, Gabriele 1 Gheorghiciuc, Irina 1 Gramain, Francois 1 Haas, Mark 1 Hajian, Arshag B. 1 Halverson, Kim 1 Haynes, Alan K. 1 Heidergott, Bernd F. 1 Hordijk, Arie 1 Hordijk, Wim 1 Host, Bernard 1 Hwang, Hsien-Kuei 1 Ishitani, Hiroshi 1 Ito, Shunji 1 Julien, Antoine 1 Kamano, Ken ...and 87 more Authors
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#### Cited in 69 Serials

 16 Journal of Number Theory 12 Journal de Théorie des Nombres de Bordeaux 11 Theoretical Computer Science 6 Monatshefte für Mathematik 6 Proceedings of the Japan Academy. Series A 6 The Ramanujan Journal 5 Functiones et Approximatio. Commentarii Mathematici 5 Indagationes Mathematicae. New Series 4 Proceedings of the American Mathematical Society 4 Ergodic Theory and Dynamical Systems 3 Israel Journal of Mathematics 3 Archiv der Mathematik 3 Bulletin de la Société Mathématique de France 3 Acta Mathematica Hungarica 3 Journal of Inequalities and Applications 3 Advances in Difference Equations 2 Bulletin of the Australian Mathematical Society 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Journal of Mathematical Analysis and Applications 2 Compositio Mathematica 2 Manuscripta Mathematica 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 Forum Mathematicum 2 Aequationes Mathematicae 2 Moscow Journal of Combinatorics and Number Theory 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Archive for History of Exact Sciences 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Journal of Approximation Theory 1 Journal of Computer and System Sciences 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Asia-Pacific Journal of Operational Research 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 International Journal of Foundations of Computer Science 1 Discrete Event Dynamic Systems 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Integers 1 Dynamical Systems 1 Journal of the Australian Mathematical Society 1 Fixed Point Theory and Applications 1 International Journal of Number Theory 1 Probability Surveys 1 Kyoto Journal of Mathematics 1 RAIRO. Theoretical Informatics and Applications
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#### Cited in 21 Fields

 126 Number theory (11-XX) 27 Computer science (68-XX) 24 Dynamical systems and ergodic theory (37-XX) 9 Measure and integration (28-XX) 9 Functions of a complex variable (30-XX) 6 Combinatorics (05-XX) 6 Probability theory and stochastic processes (60-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 3 Field theory and polynomials (12-XX) 3 Approximations and expansions (41-XX) 3 General topology (54-XX) 2 Real functions (26-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX)