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Allouche, Jean-Paul Simon

Author ID: allouche.jean-paul Recent zbMATH articles by "Allouche, Jean-Paul Simon"
Published as: Allouche, Jean-Paul; Allouche, J.-P.; Allouche, J. P.
Homepage: https://webusers.imj-prg.fr/~jean-paul.allouche/
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
Member of Collective: Lothaire, M.
Documents Indexed: 195 Publications since 1977, including 2 Books and 11 Additional arXiv Preprints
1 Further Contribution
Reviewing Activity: 423 Reviews
Biographic References: 1 Publication
Co-Authors: 97 Co-Authors with 117 Joint Publications
2,954 Co-Co-Authors
all top 5

Co-Authors

74 single-authored
33 Shallit, Jeffrey Outlaw
18 Mendès France, Michel
11 Skordev, Gencho S.
5 Cosnard, Michel Y.
4 Peitgen, Heinz-Otto
4 Peyrière, Jacques
3 Bousquet-Mélou, Mireille
3 Reder, Christine
3 Sondow, Jonathan D.
3 van der Poorten, Alfred J.
3 Wen, Zhixiong
2 Berstel, Jean
2 Berthé, Valérie
2 Cateland, E.
2 Cohen, Henri
2 Dales, Harold Garth
2 Dekking, Frederik Michel
2 Deshouillers, Jean-Marc
2 Frougny, Christiane
2 Glen, Amy
2 Han, Guo-Niu
2 Johnson, Tom
2 Maillard-Teyssier, Laurence
2 Morin, Claude
2 Queffelec, Martine
2 Rampersad, Narad
2 Stipulanti, Manon
2 von Haeseler, Fritz
2 Zamboni, Luca Quardo
1 Adamczewski, Boris
1 Adler, Christopher
1 Allombert, Bill
1 Allouche, Gabrielle
1 Arnold, André
1 Axel, Françoise
1 Baake, Michael
1 Bacher, Roland
1 Baruchel, Thomas
1 Bétréma, Jean
1 Brezzi, Franco
1 Brlek, Srečko
1 Cassaigne, Julien
1 Cloitre, Benoit
1 Courbage, Maurice
1 Crochemore, Maxime
1 Currie, James D.
1 Damanik, David
1 Daudé, Hervé
1 Davison, J. Leslie
1 Denise, Alain
1 Dress, François
1 Erdélyi, Tamás
1 Flajolet, Philippe
1 Gentili, Graziano
1 Gilbert, William J.
1 Goldmakher, Leo
1 Gologan, Radu-Nicolae
1 Gouyou-Beauchamps, Dominique
1 Greuel, Gert-Martin
1 Hajnal, Péter
1 Hare, Kevin G.
1 Hu, Yining
1 Jacob, Christine
1 Jacquet, Philippe
1 Jensen, Arne
1 Jockusch, William
1 Kamae, Teturo
1 Kléman, Maurice
1 Kolpakov, Roman M.
1 Koucherov, Gregory
1 Koyanagi, Tadahiro
1 Krichever, Igor’ Moiseevich
1 Laborde, Marc
1 Laporte, Éric
1 Levé, Florence
1 Liardet, Pierre
1 Lothaire, M.
1 Lubiw, Anna
1 Micchi, Gianluca
1 Mohri, Mehryar
1 Morton, Patrick
1 Niederreiter, Harald
1 Odlyzko, Andrew M.
1 Perrin, Dominique
1 Peters, Klaus-Heinrich
1 Petrogradsky, Victor Mikhaylovich
1 Pisanski, Tomaž
1 Pisanti, Nadia
1 Plouffe, Simon
1 Poulalhon, Dominique
1 Quirós Gracián, Adolfo
1 Rande, Bernard
1 Reinert, Gesine D.
1 Riasat, Samin
1 Saffari, Bahman
1 Sagan, Bruce Eli
1 Sagot, Marie-France
1 Salon, Olivier
1 Sapir, Amir
1 Schaeffer, Gilles
...and 16 more Co-Authors
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Serials

12 Theoretical Computer Science
12 European Mathematical Society Newsletter
9 Journal of Number Theory
6 Acta Arithmetica
6 Gazette des Mathématiciens
6 Integers
5 The Ramanujan Journal
4 Discrete Mathematics
4 Journal de Théorie des Nombres de Bordeaux
4 European Mathematical Society Magazine
3 Annales de l’Institut Fourier
3 Bulletin de la Société Mathématique de France
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Bulletin of the Belgian Mathematical Society - Simon Stevin
3 Publications Mathématiques d’Orsay
3 Journal of Mathematics and Music
2 American Mathematical Monthly
2 Discrete Applied Mathematics
2 Journal of Algebra
2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Aequationes Mathematicae
2 L’Enseignement Mathématique. 2e Série
2 Expositiones Mathematicae
2 RAIRO. Informatique Théorique et Applications
2 Fractals
2 The Electronic Journal of Combinatorics
1 Analysis Mathematica
1 Bulletin of the Australian Mathematical Society
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematics of Computation
1 Annales des Sciences Mathématiques du Québec
1 Bulletin of the London Mathematical Society
1 Commentationes Mathematicae Universitatis Carolinae
1 The Fibonacci Quarterly
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Computational and Applied Mathematics
1 Journal of Computer and System Sciences
1 Journal of the London Mathematical Society. Second Series
1 Mathematica Slovaca
1 Mathematika
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Revista de Matemáticas Aplicadas
1 SIAM Journal on Discrete Mathematics
1 Journal of the Ramanujan Mathematical Society
1 Bulletin of the American Mathematical Society. New Series
1 Comptes Rendus de l’Académie des Sciences. Série II
1 Finite Fields and their Applications
1 Séminaire Lotharingien de Combinatoire
1 Theory of Computing Systems
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 RAIRO. Theoretical Informatics and Applications
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Journal of the Australian Mathematical Society
1 Cubo Matemática Educacional
1 Mathématiques et Sciences Humaines. Mathematics and Social Sciences
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Encyclopedia of Mathematics and Its Applications
1 Journal of Mathematics and the Arts
1 RIMS Kôkyûroku Bessatsu
1 Uniform Distribution Theory
1 Ars Mathematica Contemporanea
1 Moscow Journal of Combinatorics and Number Theory
1 Journal de Physique
1 Séminaire de Théorie des Nombres
1 Combinatorial Theory
1 Journal of New Music Research
all top 5

Fields

154 Number theory (11-XX)
93 Computer science (68-XX)
22 Combinatorics (05-XX)
21 General and overarching topics; collections (00-XX)
16 Dynamical systems and ergodic theory (37-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 History and biography (01-XX)
10 Commutative algebra (13-XX)
9 Special functions (33-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Real functions (26-XX)
6 General topology (54-XX)
5 Group theory and generalizations (20-XX)
4 Mathematical logic and foundations (03-XX)
4 Measure and integration (28-XX)
4 Partial differential equations (35-XX)
3 Difference and functional equations (39-XX)
3 Sequences, series, summability (40-XX)
3 Probability theory and stochastic processes (60-XX)
3 Information and communication theory, circuits (94-XX)
3 Mathematics education (97-XX)
2 Field theory and polynomials (12-XX)
2 Algebraic geometry (14-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Associative rings and algebras (16-XX)
2 Functions of a complex variable (30-XX)
2 Quantum theory (81-XX)
2 Biology and other natural sciences (92-XX)
1 Nonassociative rings and algebras (17-XX)
1 Ordinary differential equations (34-XX)
1 Approximations and expansions (41-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 2,120 times in 1,284 Documents Cited by Year
Automatic sequences. Theory, applications, generalizations. Zbl 1086.11015
Allouche, Jean-Paul; Shallit, Jeffrey
706
2003
The ubiquitous Prouhet-Thue-Morse sequence. Zbl 1005.11005
Allouche, Jean-Paul; Shallit, Jeffrey
159
1999
Applied combinatorics on words. A collective work by Jean Berstel, Dominique Perrin, Maxime Crochemore, Eric Laporte, Mehryar Mohri, Nadia Pisanti, Marie-France Sagot, Gesine Reinert, Sophie Schbath, Michael Waterman, Philippe Jacquet, Wojciech Szpankowski, Dominique Poulalhon, Gilles Schaeffer, Roman Kolpakov, Gregory Koucherov, Jean-Paul Allouche and Valérie Berthé. With a preface by Berstel and Perrin. Zbl 1133.68067
Lothaire, M.
149
2005
The ring of \(k\)-regular sequences. Zbl 0774.68072
Allouche, Jean-Paul; Shallit, Jeffrey
140
1992
Palindrome complexity. Zbl 1064.68074
Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David
70
2003
Finite automata in number theory. (Automates finis en théorie des nombres.) Zbl 0641.10041
Allouche, Jean-Paul
51
1987
The ring of \(k\)-regular sequences. II. Zbl 1058.68066
Allouche, Jean-Paul; Shallit, Jeffrey
50
2003
Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q.
40
2001
On the complexity of infinite sequences. (Sur la complexité des suites infinies.) Zbl 0803.68094
Allouche, Jean-Paul
40
1994
Hankel determinants of the Thue-Morse sequence. Zbl 0974.11010
Allouche, Jean-Paul; Peyrière, Jacques; Wen, Zhi-Xiong; Wen, Zhi-Ying
29
1998
Generalized Rudin-Shapiro sequences. Zbl 0763.11010
Allouche, Jean-Paul; Liardet, Pierre
24
1991
Periodicity, repetitions, and orbits of an automatic sequence. Zbl 1173.68044
Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey
24
2009
The Komornik-Loreti constant is transcendental. Zbl 0997.11052
Allouche, Jean-Paul; Cosnard, Michel
23
2000
Automata and automatic sequences. Zbl 0881.11026
Allouche, Jean-Paul; Mendès France, M.
22
1995
Dirichlet series and curious infinite products. Zbl 0577.10036
Allouche, Jean-Paul; Cohen, Henri
22
1985
Linear cellular automata, finite automata and Pascal’s triangle. Zbl 0854.68065
Allouche, Jean-Paul; von Haeseler, Fritz; Peitgen, Heinz-Otto; Skordev, Gencho
20
1996
The number of factors in paperfolding sequence. Zbl 0753.11011
Allouche, Jean-Paul
19
1992
Quasicrystal Ising chain and automata theory. Zbl 0641.10043
Allouche, Jean-Paul; Mendès France, Michel
19
1986
Itérations de fonctions unimodales et suites engendrées par automates. Zbl 0547.58027
Allouche, Jean-Paul; Cosnard, Michel
19
1983
Sums of digits, overlaps, and palindromes. Zbl 1013.11004
Allouche, Jean-Paul; Shallit, Jeffrey
17
2000
Periodic unique beta-expansions: the Sharkovskiĭ ordering. Zbl 1279.11009
Allouche, Jean-Paul; Clarke, Matthew; Sidorov, Nikita
17
2009
Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms. Zbl 0918.11016
Allouche, Jean-Paul; Zamboni, Luca Q.
16
1998
Automatic Dirichlet series. Zbl 0971.11006
Allouche, J.-P.; Mendès France, M.; Peyrière, J.
16
2000
A relative of the Thue-Morse sequence. Zbl 0839.11007
Allouche, Jean-Paul; Arnold, André; Berstel, Jean; Brlek, Srećko; Jockusch, William; Plouffe, Simon; Sagan, Bruce E.
16
1995
Transcendence of formal power series with rational coefficients. Zbl 0916.68123
Allouche, Jean-Paul
15
1999
Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set. Zbl 1012.11007
Allouche, J.-P.; Cosnard, M.
15
2001
Sur la transcendance de la série formelle \(\Pi\) . (On the transcendence of formal power series \(\Pi\) ). Zbl 0709.11067
Allouche, Jean-Paul
15
1990
Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012
Allouche, Jean-Paul; Berthé, Valérie
14
1997
Reversals and palindromes in continued fractions. Zbl 1118.68110
Adamczewski, Boris; Allouche, Jean-Paul
14
2007
Mock characters and the Kronecker symbol. Zbl 1448.11062
Allouche, Jean-Paul; Goldmakher, Leo
13
2018
Automatic maps in exotic numeration systems. Zbl 0870.68105
Allouche, Jean-Paul; Cateland, E.; Gilbert, W. J.; Peitgen, Heinz-Otto; Shallit, Jeffrey O.; Skordev, Gencho
13
1997
Automaticity of double sequences generated by one-dimensional linear cellular automata. Zbl 0943.11020
Allouche, J.-P.; von Haeseler, Fritz; Peitgen, H.-O.; Petersen, A.; Skordev, G.
13
1997
Extremal infinite overlap-free binary words. Zbl 0890.68107
Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey
13
1998
Notes on cellular automata. Zbl 1103.68648
Allouche, Jean-Paul; Courbage, Maurice; Skordev, Gencho
12
2001
Sur des points fixes de morphismes d’un monoïde libre. Zbl 0691.68065
Allouche, J.-P.; Betrema, J.; Shallit, J. O.
12
1988
Note on a paper of Sharif and Woodcock. (Note sur un article de Sharif et Woodcock.) Zbl 0714.12006
Allouche, Jean-Paul
12
1989
Indian kolam patterns, sand drawings in the Vanuatu Islands, the Sierpiński curve, and monoid morphisms. (Kolam indiens, dessins sur le sable aux îles Vanuatu, courbe de Sierpiński et morphismes de monoïde.) Zbl 1147.11015
Allouche, Gabrielle; Allouche, Jean-Paul; Shallit, Jeffrey
12
2006
Somme des chiffres et transcendance. Zbl 0508.10022
Allouche, Jean-Paul
12
1982
Transcendence of the Carlitz-Goss gamma function at rational arguments. Zbl 0862.11039
Allouche, Jean-Paul
10
1996
Infinite products associated with counting blocks in binary strings. Zbl 0629.05004
Allouche, J.-P.; Shallit, J. O.
10
1989
Infinite products with strongly \(B\)-multiplicative exponents. Zbl 1174.11006
Allouche, J.-P.; Sondow, J.
9
2008
Canonical positions for the factors in paperfolding sequences. Zbl 0820.11011
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
9
1994
Toeplitz sequences, paperfolding, towers of Hanoi and progression-free sequences of integers. Zbl 0784.11008
Allouche, Jean-Paul; Bacher, Roland
9
1992
Thue, combinatorics on words, and conjectures inspired by the Thue-Morse sequence. Zbl 1395.11039
Allouche, Jean-Paul
8
2015
An infinite product with bounded partial quotients. Zbl 0749.11014
Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.
8
1991
Schrödinger operators with Rudin-Shapiro potentials are not palindromic. Zbl 0999.81018
Allouche, J.-P.
8
1997
Suites infinies à répétitions bornées. Zbl 0548.68069
Allouche, Jean-Paul
8
1984
De nouveaux curieux produits infinis. (On new curious infinite products). Zbl 0584.10024
Allouche, J.-P.; Cohen, H.; Mendès France, Michel; Shallit, J. O.
8
1987
On univoque Pisot numbers. Zbl 1182.11051
Allouche, Jean-Paul; Frougny, Christiane; Hare, Kevin G.
8
2007
Factors of generalized Rudin-Shapiro sequences. (Facteurs des suites de Rudin-Shapiro généralisées.) Zbl 0803.68096
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
8
1994
Generalized Beatty sequences and complementary triples. Zbl 1455.11042
Allouche, Jean-Paul; Dekking, F. Michel
8
2019
New results on the transcendence of real numbers with nonrandom expansion. (Nouveaux résultats de transcendance de réels à développement non aléatoire.) Zbl 1388.11046
Allouche, Jean-Paul
8
2000
Beyond odious and evil. Zbl 1415.11019
Allouche, Jean-Paul; Cloitre, Benoit; Shevelev, V.
7
2016
Schur congruences, Carlitz sequences of polynomials and automaticity. Zbl 0976.33005
Allouche, J.-P.; Skordev, G.
7
2000
Regular maps in generalized number systems. Zbl 0957.11014
Allouche, Jean-Paul; Scheicher, Klaus; Tichy, Robert F.
7
2000
On the continued fraction expansion of some formal power series. (Sur le développement en fraction continue de certaines séries formelles.) Zbl 0657.10035
Allouche, Jean-Paul
7
1988
Sums of digits and the Hurwitz zeta function. Zbl 0711.11003
Allouche, Jean-Paul; Shallit, Jeffrey
7
1990
Vibrational modes in a one dimensional “quasi-alloy”: The Morse case. Zbl 0696.10050
Axel, F.; Allouche, J. P.; Kleman, M.; Mendès-France, M.; Peyrière, J.
7
1986
A variant of Hofstadter’s sequence and finite automata. Zbl 1319.11016
Allouche, Jean-Paul; Shallit, Jeffrey
7
2012
On an extremal property of the Rudin-Shapiro sequence. Zbl 0561.10025
Allouche, Jean-Paul; Mendès France, Michel
7
1985
On a Golay-Shapiro-like sequence. Zbl 1445.11078
Allouche, Jean-Paul
6
2016
Extremal properties of (epi)Sturmian sequences and distribution modulo 1. Zbl 1254.68192
Allouche, Jean-Paul; Glen, Amy
6
2010
Oscillations spatio-temporelles engendrées par un automate cellulaire. Zbl 0564.68039
Allouche, Jean-Paul; Reder, Christine
6
1984
Univoque numbers and an avatar of Thue-Morse. Zbl 1168.11002
Allouche, Jean-Paul; Frougny, Christiane
6
2009
Polynomial subsequences of certain automatic sequences. (Sous-suites polynomiales de certaines suites automatiques.) Zbl 0795.11009
Allouche, Jean-Paul; Salon, Olivier
6
1993
Finite automata and morphisms in assisted musical composition. Zbl 1504.00008
Allouche, Jean-Paul; Johnson, Tom
6
1995
Bounds on autocorrelation coefficients of Rudin-Shapiro polynomials. Zbl 1449.42001
Allouche, J.-P.; Choi, S.; Denise, A.; Erdélyi, T.; Saffari, B.
6
2019
Self-generating sets, integers with missing blocks, and substitutions. Zbl 1117.11020
Allouche, J.-P.; Shallit, J.; Skordev, G.
5
2005
On integer sequences whose first iterates are linear. Zbl 1069.39026
Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey
5
2005
Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038
Allouche, Jean-Paul; Thakur, Dinesh S.
5
1999
Transcendence of binomial and Lucas’ formal power series. Zbl 0980.11030
Allouche, J.-P.; Gouyou-Beauchamps, D.; Skordev, G.
5
1998
Suite de Rudin-Shapiro et modèle d’Ising. (Rudin-Shapiro sequence and Ising model). Zbl 0592.10049
Allouche, Jean-Paul; Mendès France, Michel
5
1985
Sur une formule de récurrence sur les traces de produits de matrices associées à certaines substitutions. (On a recursion relation for traces of products of 2\(\times 2\) matrices generated by certain substitution rules). Zbl 0587.65033
Allouche, Jean-Paul; Peyrière, Jacques
5
1986
Finite automata in 1-D and 2-D physics. Zbl 0713.11019
Allouche, J.-P.
5
1990
Complexity of generalized Rudin-Shapiro sequences. (Complexité des suites de Rudin-Shapiro généralisées.) Zbl 0817.11014
Allouche, J.-P.; Shallit, J. O.
5
1993
Restricted Towers of Hanoi and morphisms. Zbl 1132.05306
Allouche, Jean-Paul; Sapir, Amir
5
2005
von Koch and Thue-Morse revisited. Zbl 1151.28007
Allouche, J.-P.; Skordev, G.
5
2007
Automatic sequences are also non-uniformly morphic. Zbl 1485.68202
Allouche, Jean-Paul; Shallit, Jeffrey
5
2020
More infinite products: Thue-Morse and the gamma function. Zbl 1466.11002
Allouche, J.-P.; Riasat, S.; Shallit, J.
5
2019
The ring of \(k\)-regular sequences. Zbl 0742.11012
Allouche, Jean-Paul; Shallit, Jeffrey
4
1990
Note on the transcendence of a generating functions. Zbl 0932.11017
Allouche, Jean-Paul
4
1997
Convergents of folded continued fractions. Zbl 0848.11004
Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
4
1996
Sur la conjecture de ”Syracuse-Kakutani-Collatz”. Zbl 0422.10006
Allouche, Jean-Paul
4
1979
Tours de Hanoï et automates. (Towers of Hanoi and automata). Zbl 0701.68036
Allouche, J.-P.; Dress, François
4
1990
Hadamard grade of power series. Zbl 1267.11025
Allouche, J.-P.; Mendès France, M.
4
2011
Summation of series defined by counting blocks of digits. Zbl 1131.11009
Allouche, J.-P.; Shallit, J.; Sondow, J.
4
2007
Combinatorics of words and morphisms in some pieces of Tom Johnson. Zbl 1427.00028
Allouche, Jean-Paul; Johnson, Tom
4
2018
Paperfolding infinite products and the gamma function. Zbl 1320.11023
Allouche, J.-P.
3
2015
How to prove that a sequence is not automatic. Zbl 1497.11063
Allouche, J.-P.; Shallit, J.; Yassawi, R.
3
2022
Pattern spectra, substring enumeration, and automatic sequences. Zbl 0753.11012
Allouche, Jean-Paul; Morton, Patrick; Shallit, Jeffrey
3
1992
On the conjectures of Rauzy and Shallit for infinite words. Zbl 0859.11019
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
3
1995
Finite automata and arithmetic. Zbl 0903.11009
Allouche, Jean-Paul
3
1993
Automata, algebraicity and distribution of sequences of powers. Zbl 1068.11048
Allouche, Jean-Paul; Deshouillers, Jean-Marc; Kamae, Teturo; Koyanagi, Tadahiro
3
2001
Indépendance algébrique de certaines séries formelles. (Algebraic independence of certain formal power series). Zbl 0696.10031
Allouche, J.-P.; Mendès-France, M.; van der Poorten, A. J.
3
1988
Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077
Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald
3
2020
Hidden automatic sequences. Zbl 1518.11026
Allouche, Jean-Paul; Dekking, Michel; Queffélec, Martine
3
2021
A generalization of an identity due to Kimura and Ruehr. Zbl 1417.05016
Allouche, J.-P.
3
2018
Sum-free sets generated by the period-\(k\)-folding sequences and some Sturmian sequences. Zbl 1465.11078
Allouche, Jean-Paul; Shallit, Jeffrey; Wen, Zhi-Xiong; Wu, Wen; Zhang, Jie-Meng
3
2020
A note on products involving \(\zeta (3)\) and Catalan’s constant. Zbl 1395.11143
Allouche, J.-P.
2
2015
Automatic maps on a semiring with digits. Zbl 0879.11010
Allouche, Jean-Paul; Cateland, E.; Peitgen, Heinz-Otto; Skordev, Gencho; Shallit, Jeffrey
2
1995
Human and automated approaches for finite trigonometric sums. Zbl 07739353
Allouche, Jean-Paul; Zeilberger, Doron
2
2023
How to prove that a sequence is not automatic. Zbl 1497.11063
Allouche, J.-P.; Shallit, J.; Yassawi, R.
3
2022
Hidden automatic sequences. Zbl 1518.11026
Allouche, Jean-Paul; Dekking, Michel; Queffélec, Martine
3
2021
On an inequality in a 1970 paper of R. L. Graham. Zbl 1500.11007
Allouche, J.-P.
1
2021
Automatic sequences are also non-uniformly morphic. Zbl 1485.68202
Allouche, Jean-Paul; Shallit, Jeffrey
5
2020
Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077
Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald
3
2020
Sum-free sets generated by the period-\(k\)-folding sequences and some Sturmian sequences. Zbl 1465.11078
Allouche, Jean-Paul; Shallit, Jeffrey; Wen, Zhi-Xiong; Wu, Wen; Zhang, Jie-Meng
3
2020
Generalized Beatty sequences and complementary triples. Zbl 1455.11042
Allouche, Jean-Paul; Dekking, F. Michel
8
2019
Bounds on autocorrelation coefficients of Rudin-Shapiro polynomials. Zbl 1449.42001
Allouche, J.-P.; Choi, S.; Denise, A.; Erdélyi, T.; Saffari, B.
6
2019
More infinite products: Thue-Morse and the gamma function. Zbl 1466.11002
Allouche, J.-P.; Riasat, S.; Shallit, J.
5
2019
Two binomial identities of Ruehr revisited. Zbl 1409.11019
Allouche, J.-P.
2
2019
Mock characters and the Kronecker symbol. Zbl 1448.11062
Allouche, Jean-Paul; Goldmakher, Leo
13
2018
Combinatorics of words and morphisms in some pieces of Tom Johnson. Zbl 1427.00028
Allouche, Jean-Paul; Johnson, Tom
4
2018
A generalization of an identity due to Kimura and Ruehr. Zbl 1417.05016
Allouche, J.-P.
3
2018
Marcel Frémiot, determinism versus chaos, and the tower of Hanoi. Zbl 1427.00027
Allouche, Jean-Paul
2
2018
Non-intersectivity of paperfolding dragon curves and of curves generated by automatic sequences. Zbl 1448.11063
Allouche, J.-P.; Mendès France, M.; Skordev, G.
1
2018
Beyond odious and evil. Zbl 1415.11019
Allouche, Jean-Paul; Cloitre, Benoit; Shevelev, V.
7
2016
On a Golay-Shapiro-like sequence. Zbl 1445.11078
Allouche, Jean-Paul
6
2016
Variations on an error-sum function for the convergents of some powers of \(e\). Zbl 1415.11096
Allouche, J.-P.; Baruchel, Thomas
1
2016
Thue, combinatorics on words, and conjectures inspired by the Thue-Morse sequence. Zbl 1395.11039
Allouche, Jean-Paul
8
2015
Paperfolding infinite products and the gamma function. Zbl 1320.11023
Allouche, J.-P.
3
2015
A note on products involving \(\zeta (3)\) and Catalan’s constant. Zbl 1395.11143
Allouche, J.-P.
2
2015
Book review of: Yann Bugeaud, Distribution modulo one and Diophantine approximation. Zbl 1301.00023
Allouche, Jean-Paul
1
2014
On a formula of T. Rivoal. Zbl 1289.11067
Allouche, Jean-Paul
2
2013
Lacunary formal power series and the Stern-Brocot sequence. Zbl 1293.11046
Allouche, Jean-Paul; Mendès France, Michel
1
2013
A variant of Hofstadter’s sequence and finite automata. Zbl 1319.11016
Allouche, Jean-Paul; Shallit, Jeffrey
7
2012
On the Stern sequence and its twisted version. Zbl 1283.11026
Allouche, J.-P.
2
2012
Surveying some notions of complexity for finite and infinite sequences. Zbl 1271.68202
Allouche, Jean-Paul
2
2012
Hadamard grade of power series. Zbl 1267.11025
Allouche, J.-P.; Mendès France, M.
4
2011
Inconstancy of finite and infinite sequences. Zbl 1236.68196
Allouche, Jean-Paul; Maillard-Teyssier, Laurence
1
2011
Extremal properties of (epi)Sturmian sequences and distribution modulo 1. Zbl 1254.68192
Allouche, Jean-Paul; Glen, Amy
6
2010
Periodicity, repetitions, and orbits of an automatic sequence. Zbl 1173.68044
Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey
24
2009
Periodic unique beta-expansions: the Sharkovskiĭ ordering. Zbl 1279.11009
Allouche, Jean-Paul; Clarke, Matthew; Sidorov, Nikita
17
2009
Univoque numbers and an avatar of Thue-Morse. Zbl 1168.11002
Allouche, Jean-Paul; Frougny, Christiane
6
2009
Distribution modulo 1 and the lexicographic world. Zbl 1217.11068
Allouche, Jean-Paul; Glen, Amy
2
2009
Infinite products with strongly \(B\)-multiplicative exponents. Zbl 1174.11006
Allouche, J.-P.; Sondow, J.
9
2008
A note on univoque self-Sturmian numbers. Zbl 1197.11029
Allouche, Jean-Paul
1
2008
Euler, Pisot, Prouhet-Thue-Morse, Wallis and the duplication of sines. Zbl 1169.11005
Allouche, J.-P.; Mendès France, M.
1
2008
Reversals and palindromes in continued fractions. Zbl 1118.68110
Adamczewski, Boris; Allouche, Jean-Paul
14
2007
On univoque Pisot numbers. Zbl 1182.11051
Allouche, Jean-Paul; Frougny, Christiane; Hare, Kevin G.
8
2007
von Koch and Thue-Morse revisited. Zbl 1151.28007
Allouche, J.-P.; Skordev, G.
5
2007
Summation of series defined by counting blocks of digits. Zbl 1131.11009
Allouche, J.-P.; Shallit, J.; Sondow, J.
4
2007
Note on an integral of Ramanujan. Zbl 1119.33002
Allouche, J.-P.
1
2007
Indian kolam patterns, sand drawings in the Vanuatu Islands, the Sierpiński curve, and monoid morphisms. (Kolam indiens, dessins sur le sable aux îles Vanuatu, courbe de Sierpiński et morphismes de monoïde.) Zbl 1147.11015
Allouche, Gabrielle; Allouche, Jean-Paul; Shallit, Jeffrey
12
2006
Applied combinatorics on words. A collective work by Jean Berstel, Dominique Perrin, Maxime Crochemore, Eric Laporte, Mehryar Mohri, Nadia Pisanti, Marie-France Sagot, Gesine Reinert, Sophie Schbath, Michael Waterman, Philippe Jacquet, Wojciech Szpankowski, Dominique Poulalhon, Gilles Schaeffer, Roman Kolpakov, Gregory Koucherov, Jean-Paul Allouche and Valérie Berthé. With a preface by Berstel and Perrin. Zbl 1133.68067
Lothaire, M.
149
2005
Self-generating sets, integers with missing blocks, and substitutions. Zbl 1117.11020
Allouche, J.-P.; Shallit, J.; Skordev, G.
5
2005
On integer sequences whose first iterates are linear. Zbl 1069.39026
Allouche, Jean-Paul; Rampersad, Narad; Shallit, Jeffrey
5
2005
Restricted Towers of Hanoi and morphisms. Zbl 1132.05306
Allouche, Jean-Paul; Sapir, Amir
5
2005
Automata and algebraicity. (Automates et algébricités.) Zbl 1119.11020
Allouche, Jean-Paul
1
2005
Automatic sequences. Theory, applications, generalizations. Zbl 1086.11015
Allouche, Jean-Paul; Shallit, Jeffrey
706
2003
Palindrome complexity. Zbl 1064.68074
Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David
70
2003
The ring of \(k\)-regular sequences. II. Zbl 1058.68066
Allouche, Jean-Paul; Shallit, Jeffrey
50
2003
Remarks on permutive cellular automata. Zbl 1055.68076
Allouche, J.-P.; Skordev, G.
1
2003
Transcendence of Sturmian or morphic continued fractions. Zbl 0998.11036
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q.
40
2001
Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set. Zbl 1012.11007
Allouche, J.-P.; Cosnard, M.
15
2001
Notes on cellular automata. Zbl 1103.68648
Allouche, Jean-Paul; Courbage, Maurice; Skordev, Gencho
12
2001
Automata, algebraicity and distribution of sequences of powers. Zbl 1068.11048
Allouche, Jean-Paul; Deshouillers, Jean-Marc; Kamae, Teturo; Koyanagi, Tadahiro
3
2001
The Komornik-Loreti constant is transcendental. Zbl 0997.11052
Allouche, Jean-Paul; Cosnard, Michel
23
2000
Sums of digits, overlaps, and palindromes. Zbl 1013.11004
Allouche, Jean-Paul; Shallit, Jeffrey
17
2000
Automatic Dirichlet series. Zbl 0971.11006
Allouche, J.-P.; Mendès France, M.; Peyrière, J.
16
2000
New results on the transcendence of real numbers with nonrandom expansion. (Nouveaux résultats de transcendance de réels à développement non aléatoire.) Zbl 1388.11046
Allouche, Jean-Paul
8
2000
Schur congruences, Carlitz sequences of polynomials and automaticity. Zbl 0976.33005
Allouche, J.-P.; Skordev, G.
7
2000
Regular maps in generalized number systems. Zbl 0957.11014
Allouche, Jean-Paul; Scheicher, Klaus; Tichy, Robert F.
7
2000
Algebraic and analytic randomness. Zbl 1035.68089
Allouche, Jean-Paul
2
2000
The ubiquitous Prouhet-Thue-Morse sequence. Zbl 1005.11005
Allouche, Jean-Paul; Shallit, Jeffrey
159
1999
Transcendence of formal power series with rational coefficients. Zbl 0916.68123
Allouche, Jean-Paul
15
1999
Automata and transcendence of the Tate period in finite characteristic. Zbl 0926.11038
Allouche, Jean-Paul; Thakur, Dinesh S.
5
1999
Hankel determinants of the Thue-Morse sequence. Zbl 0974.11010
Allouche, Jean-Paul; Peyrière, Jacques; Wen, Zhi-Xiong; Wen, Zhi-Ying
29
1998
Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms. Zbl 0918.11016
Allouche, Jean-Paul; Zamboni, Luca Q.
16
1998
Extremal infinite overlap-free binary words. Zbl 0890.68107
Allouche, Jean-Paul; Currie, James; Shallit, Jeffrey
13
1998
Transcendence of binomial and Lucas’ formal power series. Zbl 0980.11030
Allouche, J.-P.; Gouyou-Beauchamps, D.; Skordev, G.
5
1998
Generalized perturbed symmetry. Zbl 0918.11015
Allouche, Jean-Paul; Shallit, Jeffrey
2
1998
Pascal’s triangle, complexity and automata. (Triangle de Pascal, complexité et automates.) Zbl 0922.11012
Allouche, Jean-Paul; Berthé, Valérie
14
1997
Automatic maps in exotic numeration systems. Zbl 0870.68105
Allouche, Jean-Paul; Cateland, E.; Gilbert, W. J.; Peitgen, Heinz-Otto; Shallit, Jeffrey O.; Skordev, Gencho
13
1997
Automaticity of double sequences generated by one-dimensional linear cellular automata. Zbl 0943.11020
Allouche, J.-P.; von Haeseler, Fritz; Peitgen, H.-O.; Petersen, A.; Skordev, G.
13
1997
Schrödinger operators with Rudin-Shapiro potentials are not palindromic. Zbl 0999.81018
Allouche, J.-P.
8
1997
Note on the transcendence of a generating functions. Zbl 0932.11017
Allouche, Jean-Paul
4
1997
Linear cellular automata, finite automata and Pascal’s triangle. Zbl 0854.68065
Allouche, Jean-Paul; von Haeseler, Fritz; Peitgen, Heinz-Otto; Skordev, Gencho
20
1996
Transcendence of the Carlitz-Goss gamma function at rational arguments. Zbl 0862.11039
Allouche, Jean-Paul
10
1996
Convergents of folded continued fractions. Zbl 0848.11004
Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
4
1996
Note on the constructible sets of a topological space. Zbl 0899.54026
Allouche, Jean-Paul
1
1996
Automata and automatic sequences. Zbl 0881.11026
Allouche, Jean-Paul; Mendès France, M.
22
1995
A relative of the Thue-Morse sequence. Zbl 0839.11007
Allouche, Jean-Paul; Arnold, André; Berstel, Jean; Brlek, Srećko; Jockusch, William; Plouffe, Simon; Sagan, Bruce E.
16
1995
Finite automata and morphisms in assisted musical composition. Zbl 1504.00008
Allouche, Jean-Paul; Johnson, Tom
6
1995
On the conjectures of Rauzy and Shallit for infinite words. Zbl 0859.11019
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
3
1995
Automatic maps on a semiring with digits. Zbl 0879.11010
Allouche, Jean-Paul; Cateland, E.; Peitgen, Heinz-Otto; Skordev, Gencho; Shallit, Jeffrey
2
1995
On the complexity of infinite sequences. (Sur la complexité des suites infinies.) Zbl 0803.68094
Allouche, Jean-Paul
40
1994
Canonical positions for the factors in paperfolding sequences. Zbl 0820.11011
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
9
1994
Factors of generalized Rudin-Shapiro sequences. (Facteurs des suites de Rudin-Shapiro généralisées.) Zbl 0803.68096
Allouche, Jean-Paul; Bousquet-Mélou, Mireille
8
1994
Note on the cyclic towers of Hanoi. Zbl 0801.68068
Allouche, Jean-Paul
2
1994
Polynomial subsequences of certain automatic sequences. (Sous-suites polynomiales de certaines suites automatiques.) Zbl 0795.11009
Allouche, Jean-Paul; Salon, Olivier
6
1993
Complexity of generalized Rudin-Shapiro sequences. (Complexité des suites de Rudin-Shapiro généralisées.) Zbl 0817.11014
Allouche, J.-P.; Shallit, J. O.
5
1993
Finite automata and arithmetic. Zbl 0903.11009
Allouche, Jean-Paul
3
1993
The ring of \(k\)-regular sequences. Zbl 0774.68072
Allouche, Jean-Paul; Shallit, Jeffrey
140
1992
The number of factors in paperfolding sequence. Zbl 0753.11011
Allouche, Jean-Paul
19
1992
Toeplitz sequences, paperfolding, towers of Hanoi and progression-free sequences of integers. Zbl 0784.11008
Allouche, Jean-Paul; Bacher, Roland
9
1992
Pattern spectra, substring enumeration, and automatic sequences. Zbl 0753.11012
Allouche, Jean-Paul; Morton, Patrick; Shallit, Jeffrey
3
1992
Generalized Rudin-Shapiro sequences. Zbl 0763.11010
Allouche, Jean-Paul; Liardet, Pierre
24
1991
An infinite product with bounded partial quotients. Zbl 0749.11014
Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.
8
1991
Sur la transcendance de la série formelle \(\Pi\) . (On the transcendence of formal power series \(\Pi\) ). Zbl 0709.11067
Allouche, Jean-Paul
15
1990
...and 28 more Documents
all top 5

Cited by 1,179 Authors

83 Shallit, Jeffrey Outlaw
63 Allouche, Jean-Paul Simon
32 Bell, Jason P.
31 Rampersad, Narad
30 Rigo, Michel
29 Bugeaud, Yann
25 Coons, Michael
23 Wen, Zhixiong
22 Adamczewski, Boris
22 Zamboni, Luca Quardo
19 Stipulanti, Manon
18 Mauduit, Christian
18 Skordev, Gencho S.
16 Dekking, Frederik Michel
16 Frid, Anna Èduardovna
16 Kong, Derong
15 Cassaigne, Julien
15 Grytczuk, Jarosław
15 Spiegelhofer, Lukas
14 Pelantová, Edita
14 Puzynina, Svetlana
14 von Haeseler, Fritz
13 Barbé, André M.
13 Charlier, Emilie
13 Han, Guo-Niu
13 Wu, Wen
12 Currie, James D.
12 Drmota, Michael
12 Konieczny, Jakub
12 Mendès France, Michel
11 Hare, Kevin G.
11 Rowland, Eric S.
11 Yao, Jiayan
10 Glen, Amy
10 Peitgen, Heinz-Otto
10 Reutenauer, Christophe
9 Chen, Jin
9 de Luca, Aldo
9 Honkala, Juha
9 Karhumaki, Juhani
9 Moshe, Yossi
9 Richomme, Gwénaël
9 Stoll, Thomas
9 Thuswaldner, Jörg Maximilian
8 Baake, Michael
8 Berthé, Valérie
8 Dumas, Philippe
8 Grimm, Uwe
8 Guo, Yingjun
8 Hu, Yining
8 Leroy, Julien
8 Müllner, Clemens
8 Salo, Ville O.
8 Séébold, Patrice
8 Ulas, Maciej
8 Wen, Zhiying
7 Allaart, Pieter C.
7 Deshouillers, Jean-Marc
7 Fici, Gabriele
7 Kamae, Teturo
7 Kärki, Tomi
7 Lü, Xiaotao
7 Masáková, Zuzana
7 Mkaouar, Mohamed
7 Rivat, Joël
7 Saari, Kalle
7 Scheicher, Klaus
7 Starosta, Štěpán
7 Vuillon, Laurent
7 Wen, Zhi-Ying
6 Aloui, Karam
6 Baker, Simon
6 Blanchet-Sadri, Francine
6 Brlek, Srečko
6 Carpi, Arturo
6 Damanik, David
6 Dubickas, Artūras
6 Flajolet, Philippe
6 Frougny, Christiane
6 Labbé, Sébastien
6 Le Gonidec, Marion
6 Li, Yaoqiang
6 Mól, Lucas A. S.
6 Schaeffer, Luke
6 Whiteland, Markus A.
6 Yassawi, Reem
5 Berend, Daniel
5 Berstel, Jean
5 Borel, Jean-Pierre
5 Bucci, Michelangelo
5 Byszewski, Jakub
5 De Luca, Alessandro
5 Endrullis, Jörg
5 Harju, Tero
5 Heuberger, Clemens
5 Justin, Jacques
5 Kim, Donghan
5 Klop, Jan Willem
5 Krenn, Daniel
5 Krieger, Dalia
...and 1,079 more Authors
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Cited in 226 Serials

182 Theoretical Computer Science
56 Journal of Number Theory
41 Journal de Théorie des Nombres de Bordeaux
40 Advances in Applied Mathematics
38 Discrete Mathematics
30 Discrete Applied Mathematics
27 The Electronic Journal of Combinatorics
24 European Journal of Combinatorics
23 Annales de l’Institut Fourier
22 International Journal of Foundations of Computer Science
22 Integers
21 RAIRO. Theoretical Informatics and Applications
18 Journal of Combinatorial Theory. Series A
18 Ergodic Theory and Dynamical Systems
18 Journal of Integer Sequences
18 RAIRO. Theoretical Informatics and Applications
16 Proceedings of the American Mathematical Society
15 The Ramanujan Journal
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Information and Computation
14 International Journal of Number Theory
13 Monatshefte für Mathematik
13 Transactions of the American Mathematical Society
13 Acta Mathematica Hungarica
13 Indagationes Mathematicae. New Series
12 Advances in Mathematics
10 Information Processing Letters
10 Acta Arithmetica
10 Fractals
9 Bulletin of the Australian Mathematical Society
9 Journal of Algebra
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Discrete and Continuous Dynamical Systems
7 Nonlinearity
7 Mathematics of Computation
6 Communications in Mathematical Physics
6 Journal d’Analyse Mathématique
6 Journal of Statistical Physics
6 Discrete Mathematics and Theoretical Computer Science. DMTCS
6 Journal of the European Mathematical Society (JEMS)
6 Journal of the Australian Mathematical Society
6 Journal of Mathematics and Music
5 American Mathematical Monthly
5 Israel Journal of Mathematics
5 The Fibonacci Quarterly
5 Mathematische Annalen
5 International Journal of Algebra and Computation
5 Linear Algebra and its Applications
5 Finite Fields and their Applications
5 Journal of Discrete Algorithms
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Physics
4 Chaos, Solitons and Fractals
4 Bulletin de la Société Mathématique de France
4 Compositio Mathematica
4 Mathematische Zeitschrift
4 Physica D
4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
4 Aequationes Mathematicae
4 Documenta Mathematica
4 Cryptography and Communications
3 Acta Informatica
3 The Mathematical Intelligencer
3 Acta Mathematica
3 Bulletin of the London Mathematical Society
3 Canadian Journal of Mathematics
3 Functiones et Approximatio. Commentarii Mathematici
3 Journal of Computer and System Sciences
3 Journal of the London Mathematical Society. Second Series
3 Journal of Pure and Applied Algebra
3 Journal für die Reine und Angewandte Mathematik
3 Studies in Applied Mathematics
3 Algorithmica
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 RAIRO. Informatique Théorique et Applications
3 The Australasian Journal of Combinatorics
3 Journal of Mathematical Sciences (New York)
3 Theory of Computing Systems
3 Logical Methods in Computer Science
3 Algebra & Number Theory
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Moscow Journal of Combinatorics and Number Theory
3 Actes des Rencontres du C.I.R.M.
3 Enumerative Combinatorics and Applications
2 Houston Journal of Mathematics
2 Periodica Mathematica Hungarica
2 Studia Mathematica
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Duke Mathematical Journal
2 Geometriae Dedicata
2 International Journal of Mathematics and Mathematical Sciences
2 Inventiones Mathematicae
2 Journal of the Korean Mathematical Society
2 Mathematika
2 Notre Dame Journal of Formal Logic
2 Proceedings of the London Mathematical Society. Third Series
2 Results in Mathematics
2 Annals of Pure and Applied Logic
...and 126 more Serials
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Cited in 56 Fields

723 Number theory (11-XX)
677 Computer science (68-XX)
173 Dynamical systems and ergodic theory (37-XX)
169 Combinatorics (05-XX)
72 Measure and integration (28-XX)
32 Group theory and generalizations (20-XX)
31 Mathematical logic and foundations (03-XX)
24 Statistical mechanics, structure of matter (82-XX)
23 Real functions (26-XX)
23 Probability theory and stochastic processes (60-XX)
20 Functions of a complex variable (30-XX)
19 Commutative algebra (13-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Information and communication theory, circuits (94-XX)
18 Special functions (33-XX)
17 General and overarching topics; collections (00-XX)
16 Difference and functional equations (39-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Convex and discrete geometry (52-XX)
14 Operator theory (47-XX)
13 Field theory and polynomials (12-XX)
11 Associative rings and algebras (16-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
11 Quantum theory (81-XX)
9 Approximations and expansions (41-XX)
8 Algebraic geometry (14-XX)
7 Ordinary differential equations (34-XX)
6 History and biography (01-XX)
6 Numerical analysis (65-XX)
6 Biology and other natural sciences (92-XX)
4 General algebraic systems (08-XX)
4 Sequences, series, summability (40-XX)
4 Abstract harmonic analysis (43-XX)
4 Integral transforms, operational calculus (44-XX)
4 Geometry (51-XX)
4 Operations research, mathematical programming (90-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Partial differential equations (35-XX)
3 Functional analysis (46-XX)
3 General topology (54-XX)
2 Category theory; homological algebra (18-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral equations (45-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-XX)
2 Fluid mechanics (76-XX)
2 Systems theory; control (93-XX)
1 Nonassociative rings and algebras (17-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

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