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Mauduit, Christian

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Author ID: mauduit.christian Recent zbMATH articles by "Mauduit, Christian"
Published as: Mauduit, C.; Mauduit, Ch.; Mauduit, Christian
Homepage: https://www.i2m.univ-amu.fr/spip.php?page=pageperso&nom=mauduit&prenom=christian...
External Links: MGP · Wikidata
Member of Collective: Fogg, N. Pytheas
Documents Indexed: 113 Publications since 1984, including 3 Books

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 1,418 times in 659 Documents Cited by Year
Substitutions in dynamics, arithmetics and combinatorics. Zbl 1014.11015
Fogg, N. Pytheas (ed.); Berthé, Valérie (ed.); Ferenczi, Sébastien (ed.); Mauduit, Christian (ed.); Siegel, A. (ed.)
279
2002
On finite pseudorandom binary sequences. I: Measure of pseudorandomness, the Legendre symbol. Zbl 0886.11048
Mauduit, Christian; Sárközy, András
90
1997
On a problem of Gelfond: the sum of digits of prime numbers. Zbl 1213.11025
Mauduit, Christian; Rivat, Joël
72
2010
On finite pseudorandom binary sequences. VII. Zbl 1126.11330
Cassaigne, Julien; Mauduit, Christian; Sárközy, András
50
2002
Construction of large families of pseudorandom binary sequences. Zbl 1049.11089
Goubin, Louis; Mauduit, Christian; Sárközy, András
42
2004
The sum of digits of squares. Zbl 1278.11076
Mauduit, Christian; Rivat, Joël
38
2009
Transcendence of numbers with a low complexity expansion. Zbl 0895.11029
Ferenczi, Sébastien; Mauduit, Christian
33
1997
Sums of digits and almost primes. Zbl 0858.11050
Fouvry, E.; Mauduit, C.
32
1996
Measures of pseudorandomness for finite sequences: typical values. Zbl 1124.68084
Alon, N.; Kohayakawa, Y.; Mauduit, C.; Moreira, C. G.; Rödl, V.
29
2007
On the arithmetic structure of the integers whose sum of digits is fixed. Zbl 0887.11008
Mauduit, Christian; Sárközy, András
29
1997
Complexity of sequences defined by billiard in the cube. Zbl 0791.58034
Arnoux, Pierre; Mauduit, Christian; Shiokawa, Iekata; Tamura, Jun-Ichi
28
1994
On the arithmetic structure of sets characterized by sum of digits properties. Zbl 0868.11004
Mauduit, Christian; Sárközy, Andràs
27
1996
Construction of pseudorandom binary sequences using additive characters. Zbl 1110.11024
Mauduit, Christian; Rivat, Joël; Sárközy, András
25
2004
On pseudorandom binary lattices. Zbl 1155.11044
Hubert, P.; Mauduit, C.; Sárközy, A.
22
2006
On finite pseudorandom binary sequences. II: The Champernowne, Rudin-Shapiro, and Thue-Morse sequences, a further construction. Zbl 0916.11047
Mauduit, Christian; Sárközy, András
22
1998
On finite pseudorandom sequences of \(k\) symbols. Zbl 1049.11090
Mauduit, Christian; Sárközy, András
21
2002
Prime numbers along Rudin-Shapiro sequences. Zbl 1398.11121
Mauduit, Christian; Rivat, Joël
20
2015
On arithmetic properties of integers with missing digits. I: Distribution in residue classes. Zbl 0923.11024
Erdős, Paul; Mauduit, Christian; Sárközy, András
20
1998
Sieve methods and sum-of-digits functions. Zbl 0869.11073
Fouvry, E.; Mauduit, C.
19
1996
A complexity measure for families of binary sequences. Zbl 1050.11069
Ahlswede, R.; Khachatrian, L. H.; Mauduit, C.; Sárközy, A.
18
2003
Prime number theorem for digital functions. Zbl 1395.11023
Martin, Bruno; Mauduit, Christian; Rivat, Joël
17
2014
Primes with an average sum of digits. Zbl 1230.11013
Drmota, Michael; Mauduit, Christian; Rivat, Joël
17
2009
Construction of pseudorandom binary sequences by using the multiplicative inverse. Zbl 1102.11038
Mauduit, C.; Sárközy, A.
17
2005
Almost primes whose expansion in base \(r\) misses some digits. Zbl 0957.11039
Dartyge, Cécile; Mauduit, Christian
17
2000
On arithmetic properties of integers with missing digits. II: Prime factors. Zbl 0945.11006
Erdős, Paul; Mauduit, Christian; Sárközy, András
17
1999
Multiplicative properties of the Thue-Morse sequence. Zbl 0980.11018
Mauduit, Christian
16
2001
On finite pseudorandom binary sequences. III: The Liouville function. I. Zbl 0920.11053
Cassaigne, Julien; Ferenczi, Sébastien; Rivat, Jöel; Sárközy, András; Mauduit, Christian
16
1999
Measures of pseudorandomness for finite sequences: minimal values. Zbl 1084.11043
Alon, N.; Kohayakawa, Y.; Mauduit, C.; Moreira, C. G.; Rödl, V.
15
2006
The sum-of-digits function of polynomial sequences. Zbl 1257.11009
Drmota, Michael; Mauduit, Christian; Rivat, Joël
14
2011
Large families of pseudorandom sequences of \(k\) symbols and their complexity. II. Zbl 1164.11034
Ahlswede, R.; Mauduit, C.; Sárközy, A.
14
2006
On large families of pseudorandom binary lattices. Zbl 1204.11127
Mauduit, Christian; Sárközy, András
13
2007
Large families of pseudorandom sequences of \(k\) symbols and their complexity. I. Zbl 1164.11033
Ahlswede, R.; Mauduit, C.; Sárközy, A.
12
2006
Arithmetics properties of substitutions and infinite automata. Zbl 1147.11016
Mauduit, Christian
12
2006
Automates finis et ensembles normaux. (Finite automata and normal sets). Zbl 0576.10026
Mauduit, Christian
12
1986
Measures of pseudorandomness for finite sequences: minimum and typical values. (Extended abstract). Zbl 1183.11043
Kohayakawa, Yoshiharu; Mauduit, Christian; Moreira, Carlos G.; Rödl, Vojtech
11
2003
On the measures of pseudorandomness of binary sequences. Zbl 1078.11052
Mauduit, Christian; Sárközy, András
11
2003
Zero-density sets containing integers with at most two prime factors. Zbl 0988.11042
Dartyge, Cécile; Mauduit, Christian
10
2001
On the number of prime factors of integers characterized by digit properties. Zbl 0963.11005
Konyagin, Sergei; Mauduit, Christian; Sárközy, András
10
2000
Substitution dynamical systems: Algebraic characterization of eigenvalues. Zbl 0866.11023
Ferenczi, Sébastien; Mauduit, Christian; Nogueira, Arnaldo
10
1996
On Sarnak’s conjecture and Veech’s question for interval exchanges. Zbl 1411.37008
Ferenczi, Sébastien; Mauduit, Christian
9
2018
Weyl sums over integers with affine digit restrictions. Zbl 1210.11015
Drmota, Michael; Mauduit, Christian
9
2010
Construction of pseudorandom binary lattices by using the multiplicative inverse. Zbl 1137.11050
Mauduit, Christian; Sárközy, András
9
2008
\(q\)-multiplicative properties of the sequence \(\lfloor n^c \rfloor\), \(c>1\). Zbl 1082.11058
Mauduit, Christian; Rivat, Joël
9
2005
Caractérisation des ensembles normaux substitutifs. (Characterization of normal substitutional sets). Zbl 0665.10035
Mauduit, Christian
9
1989
Substitutions and Möbius disjointness. Zbl 1364.37027
Ferenczi, S.; Kułaga-Przymus, J.; Lemańczyk, M.; Mauduit, C.
8
2016
Polynomial values and generators with missing digits in finite fields. Zbl 1321.11012
Dartyge, Cécile; Mauduit, Christian; Sárközy, András
8
2015
On the distribution in residue classes of integers with a fixed sum of digits. Zbl 1155.11345
Mauduit, Christian; Pomerance, Carl; Sárközy, András
8
2005
On finite pseudorandom binary sequences. IV. Zbl 0961.11026
Cassaigne, Julien; Ferenczi, Sébastien; Mauduit, Christian; Rivat, Joël; Sárközy, András
8
2000
Piecewise absolutely continuous cocycles over irrational rotations. Zbl 0931.28015
Iwanik, A.; Lemańczyk, M.; Mauduit, C.
8
1999
Measures of pseudorandomness of families of binary lattices. II: A further construction. Zbl 1299.11056
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
7
2012
Integers with an average sum of digits. Zbl 1084.11045
Fouvry, E.; Mauduit, C.
7
2005
On finite pseudorandom binary sequences. VI: On \((n^k\alpha)\) sequences. Zbl 1011.11054
Mauduit, Christian; Sárközy, András
7
2000
The egodic theorem along a \(q\)-multiplicative sequence. Zbl 0818.28006
Lesigne, E.; Mauduit, C.; Mosse, B.
7
1994
Normality along squares. Zbl 1430.11010
Drmota, Michael; Mauduit, Christian; Rivat, Joël
6
2019
Digital functions along prime numbers. Zbl 1395.11024
Martin, Bruno; Mauduit, Christian; Rivat, Joël
6
2015
Measures of pseudorandomness of families of binary lattices. I: Definitions, a construction using quadratic characters. Zbl 1249.11080
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
6
2011
Measures of pseudorandomness of binary lattices. III: \(Q_k\), correlation, normality, minimal values). Zbl 1227.11091
Gyarmati, K.; Mauduit, C.; Sárközy, A.
6
2010
On finite pseudorandom binary sequences. V: On \((n\alpha)\) and \((n^2\alpha)\) sequences. Zbl 0973.11076
Mauduit, Christian; Sárközy, András
6
2000
Koksma’s inequality and group extensions of Kronecker transformations. Zbl 0878.28009
Aaronson, Jon; Lemańczyk, Mariusz; Mauduit, Christian; Nakada, Hitoshi
6
1995
Distribution of \(q\)-multiplicative functions in the sequence \(([n^ c])_{n\in\mathbb{N}}\), \(c > 1\). Zbl 0827.11048
Mauduit, Christian; Rivat, Joël
6
1995
The cross-correlation measure for families of binary sequences. Zbl 1368.11082
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
5
2014
Measures of pseudorandomness of finite binary lattices. I: The measures \(Q_k\), normality. Zbl 1226.11083
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
5
2010
On the pseudo-random properties of \(n^c\). Zbl 1070.11031
Mauduit, Christian; Rivat, Joël; Sárkőzy, András
5
2002
On the linear complexity of binary lattices. Zbl 1312.11063
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
4
2013
Complexity of infinite sequences with zero entropy. Zbl 1275.68112
Mauduit, Christian; Moreira, Carlos Gustavo
4
2010
Rauzy’s conjecture on billiards in the cube. Zbl 0814.11014
Arnoux, Pierre; Mauduit, Christian; Shiokawa, Iekata; Tamura, Jun-ichi
4
1994
Ergodicity of a class of cocycles over irrational rotations. Zbl 0801.28009
Lemańczyk, Mariusz; Mauduit, Christian
4
1994
Sur l’ensemble normal des substitutions de longueur quelconque. (On the normal set of substitutions of arbitrary length). Zbl 0655.10053
Mauduit, Christian
4
1988
Morphismes unispectraux. (Unispectral morphisms). Zbl 0618.68062
Mauduit, Christian
4
1986
On linear complexity of binary lattices. II. Zbl 1314.11049
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
3
2014
Generalized Hausdorff dimensions of sets of real numbers with zero entropy expansion. Zbl 1258.11078
Mauduit, Christian; Moreira, Carlos Gustavo
3
2012
Constructions of pseudorandom binary lattices. Zbl 1279.11080
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
3
2009
Ergodic properties of \(q\)-multiplicative sequences. Zbl 0853.11064
Lesigne, Emmanuel; Mauduit, Christian
3
1996
Propriétés arithmétiques des substitutions. (Arithmetic properties of substitutions). Zbl 0741.11016
Mauduit, C.
3
1992
Automates finis et équirépartition modulo 1. (Finite automata and uniform distribution modulo 1). Zbl 0565.10030
Mauduit, Christian
3
1984
Sum of digits and distribution in congruence classes for palindromes with missing digits. Zbl 1399.11024
Aloui, K.; Mauduit, Ch.; Mkaouar, M.
2
2017
On the digits of sumsets. Zbl 1439.11028
Mauduit, Christian; Rivat, Joël; Sárközy, András
2
2017
On finite pseudorandom binary lattices. Zbl 1372.11082
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
2
2017
Family complexity and VC-dimension. Zbl 1334.11061
Mauduit, Christian; Sárközy, András
2
2013
Exponential sums associated with restricted digital functions. Zbl 1313.11026
Mauduit, Christian; Shawket, Zaid
2
2012
On the correlation of binary sequences. II. Zbl 1333.11076
Gyarmati, Katalin; Mauduit, Christian
2
2012
Pseudorandom binary sequences and lattices. Zbl 1209.11076
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
2
2008
On pseudorandom \([0,1)\) and binary sequences. Zbl 1164.11032
Mauduit, Christian; Niederreiter, Harald; Sárközy, András
2
2007
A density theorem for (multiplicity, rank) pairs. Zbl 0833.28010
Ferenczi, Sébastien; Kwiatkowski, Jan; Mauduit, Christian
2
1995
Prime numbers with multiple digital constraints. Zbl 07134712
Martin, Bruno; Mauduit, Christian; Rivat, Joël
1
2019
Complexity and fractal dimensions for infinite sequences with positive entropy. Zbl 1430.68254
Mauduit, Christian; Moreira, Carlos Gustavo
1
2019
Local properties of digits of prime numbers. Zbl 1455.11117
Martin, Bruno; Mauduit, Christian; Rivat, Joël
1
2019
An algorithm for the word entropy. Zbl 1398.68415
Ferenczi, Sébastien; Mauduit, Christian; Moreira, Carlos Gustavo
1
2018
Moser-Newman phenomenon for square-free numbers. Zbl 1352.11015
Mauduit, Christian; Moreira, Carlos Gustavo
1
2015
Generation of further pseudorandom binary sequences. I. Zbl 1392.11053
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
1
2015
Measures of pseudorandomness of finite binary lattices. II: The symmetry measures. Zbl 1227.11092
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
1
2011
Finite and infinite pseudorandom binary words. Zbl 0996.68144
Mauduit, Christian
1
2002
Problem session dedicated to Gérard Rauzy. Zbl 1196.11003
Mauduit, Christian
1
2000
Complexity of sequences generated by unipotent recurrences. Zbl 0860.68082
Arnoux, Pierre; Mauduit, Christian
1
1996
Suites de \(G_ q\)-orbite finie. (Sequences of finite \(G_ q\)-orbits). Zbl 0726.11016
Mauduit, Christian; Mossé, Brigitte
1
1991
Normality along squares. Zbl 1430.11010
Drmota, Michael; Mauduit, Christian; Rivat, Joël
6
2019
Prime numbers with multiple digital constraints. Zbl 07134712
Martin, Bruno; Mauduit, Christian; Rivat, Joël
1
2019
Complexity and fractal dimensions for infinite sequences with positive entropy. Zbl 1430.68254
Mauduit, Christian; Moreira, Carlos Gustavo
1
2019
Local properties of digits of prime numbers. Zbl 1455.11117
Martin, Bruno; Mauduit, Christian; Rivat, Joël
1
2019
On Sarnak’s conjecture and Veech’s question for interval exchanges. Zbl 1411.37008
Ferenczi, Sébastien; Mauduit, Christian
9
2018
An algorithm for the word entropy. Zbl 1398.68415
Ferenczi, Sébastien; Mauduit, Christian; Moreira, Carlos Gustavo
1
2018
Sum of digits and distribution in congruence classes for palindromes with missing digits. Zbl 1399.11024
Aloui, K.; Mauduit, Ch.; Mkaouar, M.
2
2017
On the digits of sumsets. Zbl 1439.11028
Mauduit, Christian; Rivat, Joël; Sárközy, András
2
2017
On finite pseudorandom binary lattices. Zbl 1372.11082
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
2
2017
Substitutions and Möbius disjointness. Zbl 1364.37027
Ferenczi, S.; Kułaga-Przymus, J.; Lemańczyk, M.; Mauduit, C.
8
2016
Prime numbers along Rudin-Shapiro sequences. Zbl 1398.11121
Mauduit, Christian; Rivat, Joël
20
2015
Polynomial values and generators with missing digits in finite fields. Zbl 1321.11012
Dartyge, Cécile; Mauduit, Christian; Sárközy, András
8
2015
Digital functions along prime numbers. Zbl 1395.11024
Martin, Bruno; Mauduit, Christian; Rivat, Joël
6
2015
Moser-Newman phenomenon for square-free numbers. Zbl 1352.11015
Mauduit, Christian; Moreira, Carlos Gustavo
1
2015
Generation of further pseudorandom binary sequences. I. Zbl 1392.11053
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
1
2015
Prime number theorem for digital functions. Zbl 1395.11023
Martin, Bruno; Mauduit, Christian; Rivat, Joël
17
2014
The cross-correlation measure for families of binary sequences. Zbl 1368.11082
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
5
2014
On linear complexity of binary lattices. II. Zbl 1314.11049
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
3
2014
On the linear complexity of binary lattices. Zbl 1312.11063
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
4
2013
Family complexity and VC-dimension. Zbl 1334.11061
Mauduit, Christian; Sárközy, András
2
2013
Measures of pseudorandomness of families of binary lattices. II: A further construction. Zbl 1299.11056
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
7
2012
Generalized Hausdorff dimensions of sets of real numbers with zero entropy expansion. Zbl 1258.11078
Mauduit, Christian; Moreira, Carlos Gustavo
3
2012
Exponential sums associated with restricted digital functions. Zbl 1313.11026
Mauduit, Christian; Shawket, Zaid
2
2012
On the correlation of binary sequences. II. Zbl 1333.11076
Gyarmati, Katalin; Mauduit, Christian
2
2012
The sum-of-digits function of polynomial sequences. Zbl 1257.11009
Drmota, Michael; Mauduit, Christian; Rivat, Joël
14
2011
Measures of pseudorandomness of families of binary lattices. I: Definitions, a construction using quadratic characters. Zbl 1249.11080
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
6
2011
Measures of pseudorandomness of finite binary lattices. II: The symmetry measures. Zbl 1227.11092
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
1
2011
On a problem of Gelfond: the sum of digits of prime numbers. Zbl 1213.11025
Mauduit, Christian; Rivat, Joël
72
2010
Weyl sums over integers with affine digit restrictions. Zbl 1210.11015
Drmota, Michael; Mauduit, Christian
9
2010
Measures of pseudorandomness of binary lattices. III: \(Q_k\), correlation, normality, minimal values). Zbl 1227.11091
Gyarmati, K.; Mauduit, C.; Sárközy, A.
6
2010
Measures of pseudorandomness of finite binary lattices. I: The measures \(Q_k\), normality. Zbl 1226.11083
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
5
2010
Complexity of infinite sequences with zero entropy. Zbl 1275.68112
Mauduit, Christian; Moreira, Carlos Gustavo
4
2010
The sum of digits of squares. Zbl 1278.11076
Mauduit, Christian; Rivat, Joël
38
2009
Primes with an average sum of digits. Zbl 1230.11013
Drmota, Michael; Mauduit, Christian; Rivat, Joël
17
2009
Constructions of pseudorandom binary lattices. Zbl 1279.11080
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
3
2009
Construction of pseudorandom binary lattices by using the multiplicative inverse. Zbl 1137.11050
Mauduit, Christian; Sárközy, András
9
2008
Pseudorandom binary sequences and lattices. Zbl 1209.11076
Gyarmati, Katalin; Mauduit, Christian; Sárközy, András
2
2008
Measures of pseudorandomness for finite sequences: typical values. Zbl 1124.68084
Alon, N.; Kohayakawa, Y.; Mauduit, C.; Moreira, C. G.; Rödl, V.
29
2007
On large families of pseudorandom binary lattices. Zbl 1204.11127
Mauduit, Christian; Sárközy, András
13
2007
On pseudorandom \([0,1)\) and binary sequences. Zbl 1164.11032
Mauduit, Christian; Niederreiter, Harald; Sárközy, András
2
2007
On pseudorandom binary lattices. Zbl 1155.11044
Hubert, P.; Mauduit, C.; Sárközy, A.
22
2006
Measures of pseudorandomness for finite sequences: minimal values. Zbl 1084.11043
Alon, N.; Kohayakawa, Y.; Mauduit, C.; Moreira, C. G.; Rödl, V.
15
2006
Large families of pseudorandom sequences of \(k\) symbols and their complexity. II. Zbl 1164.11034
Ahlswede, R.; Mauduit, C.; Sárközy, A.
14
2006
Large families of pseudorandom sequences of \(k\) symbols and their complexity. I. Zbl 1164.11033
Ahlswede, R.; Mauduit, C.; Sárközy, A.
12
2006
Arithmetics properties of substitutions and infinite automata. Zbl 1147.11016
Mauduit, Christian
12
2006
Construction of pseudorandom binary sequences by using the multiplicative inverse. Zbl 1102.11038
Mauduit, C.; Sárközy, A.
17
2005
\(q\)-multiplicative properties of the sequence \(\lfloor n^c \rfloor\), \(c>1\). Zbl 1082.11058
Mauduit, Christian; Rivat, Joël
9
2005
On the distribution in residue classes of integers with a fixed sum of digits. Zbl 1155.11345
Mauduit, Christian; Pomerance, Carl; Sárközy, András
8
2005
Integers with an average sum of digits. Zbl 1084.11045
Fouvry, E.; Mauduit, C.
7
2005
Construction of large families of pseudorandom binary sequences. Zbl 1049.11089
Goubin, Louis; Mauduit, Christian; Sárközy, András
42
2004
Construction of pseudorandom binary sequences using additive characters. Zbl 1110.11024
Mauduit, Christian; Rivat, Joël; Sárközy, András
25
2004
A complexity measure for families of binary sequences. Zbl 1050.11069
Ahlswede, R.; Khachatrian, L. H.; Mauduit, C.; Sárközy, A.
18
2003
Measures of pseudorandomness for finite sequences: minimum and typical values. (Extended abstract). Zbl 1183.11043
Kohayakawa, Yoshiharu; Mauduit, Christian; Moreira, Carlos G.; Rödl, Vojtech
11
2003
On the measures of pseudorandomness of binary sequences. Zbl 1078.11052
Mauduit, Christian; Sárközy, András
11
2003
Substitutions in dynamics, arithmetics and combinatorics. Zbl 1014.11015
Fogg, N. Pytheas (ed.); Berthé, Valérie (ed.); Ferenczi, Sébastien (ed.); Mauduit, Christian (ed.); Siegel, A. (ed.)
279
2002
On finite pseudorandom binary sequences. VII. Zbl 1126.11330
Cassaigne, Julien; Mauduit, Christian; Sárközy, András
50
2002
On finite pseudorandom sequences of \(k\) symbols. Zbl 1049.11090
Mauduit, Christian; Sárközy, András
21
2002
On the pseudo-random properties of \(n^c\). Zbl 1070.11031
Mauduit, Christian; Rivat, Joël; Sárkőzy, András
5
2002
Finite and infinite pseudorandom binary words. Zbl 0996.68144
Mauduit, Christian
1
2002
Multiplicative properties of the Thue-Morse sequence. Zbl 0980.11018
Mauduit, Christian
16
2001
Zero-density sets containing integers with at most two prime factors. Zbl 0988.11042
Dartyge, Cécile; Mauduit, Christian
10
2001
Almost primes whose expansion in base \(r\) misses some digits. Zbl 0957.11039
Dartyge, Cécile; Mauduit, Christian
17
2000
On the number of prime factors of integers characterized by digit properties. Zbl 0963.11005
Konyagin, Sergei; Mauduit, Christian; Sárközy, András
10
2000
On finite pseudorandom binary sequences. IV. Zbl 0961.11026
Cassaigne, Julien; Ferenczi, Sébastien; Mauduit, Christian; Rivat, Joël; Sárközy, András
8
2000
On finite pseudorandom binary sequences. VI: On \((n^k\alpha)\) sequences. Zbl 1011.11054
Mauduit, Christian; Sárközy, András
7
2000
On finite pseudorandom binary sequences. V: On \((n\alpha)\) and \((n^2\alpha)\) sequences. Zbl 0973.11076
Mauduit, Christian; Sárközy, András
6
2000
Problem session dedicated to Gérard Rauzy. Zbl 1196.11003
Mauduit, Christian
1
2000
On arithmetic properties of integers with missing digits. II: Prime factors. Zbl 0945.11006
Erdős, Paul; Mauduit, Christian; Sárközy, András
17
1999
On finite pseudorandom binary sequences. III: The Liouville function. I. Zbl 0920.11053
Cassaigne, Julien; Ferenczi, Sébastien; Rivat, Jöel; Sárközy, András; Mauduit, Christian
16
1999
Piecewise absolutely continuous cocycles over irrational rotations. Zbl 0931.28015
Iwanik, A.; Lemańczyk, M.; Mauduit, C.
8
1999
On finite pseudorandom binary sequences. II: The Champernowne, Rudin-Shapiro, and Thue-Morse sequences, a further construction. Zbl 0916.11047
Mauduit, Christian; Sárközy, András
22
1998
On arithmetic properties of integers with missing digits. I: Distribution in residue classes. Zbl 0923.11024
Erdős, Paul; Mauduit, Christian; Sárközy, András
20
1998
On finite pseudorandom binary sequences. I: Measure of pseudorandomness, the Legendre symbol. Zbl 0886.11048
Mauduit, Christian; Sárközy, András
90
1997
Transcendence of numbers with a low complexity expansion. Zbl 0895.11029
Ferenczi, Sébastien; Mauduit, Christian
33
1997
On the arithmetic structure of the integers whose sum of digits is fixed. Zbl 0887.11008
Mauduit, Christian; Sárközy, András
29
1997
Sums of digits and almost primes. Zbl 0858.11050
Fouvry, E.; Mauduit, C.
32
1996
On the arithmetic structure of sets characterized by sum of digits properties. Zbl 0868.11004
Mauduit, Christian; Sárközy, Andràs
27
1996
Sieve methods and sum-of-digits functions. Zbl 0869.11073
Fouvry, E.; Mauduit, C.
19
1996
Substitution dynamical systems: Algebraic characterization of eigenvalues. Zbl 0866.11023
Ferenczi, Sébastien; Mauduit, Christian; Nogueira, Arnaldo
10
1996
Ergodic properties of \(q\)-multiplicative sequences. Zbl 0853.11064
Lesigne, Emmanuel; Mauduit, Christian
3
1996
Complexity of sequences generated by unipotent recurrences. Zbl 0860.68082
Arnoux, Pierre; Mauduit, Christian
1
1996
Koksma’s inequality and group extensions of Kronecker transformations. Zbl 0878.28009
Aaronson, Jon; Lemańczyk, Mariusz; Mauduit, Christian; Nakada, Hitoshi
6
1995
Distribution of \(q\)-multiplicative functions in the sequence \(([n^ c])_{n\in\mathbb{N}}\), \(c > 1\). Zbl 0827.11048
Mauduit, Christian; Rivat, Joël
6
1995
A density theorem for (multiplicity, rank) pairs. Zbl 0833.28010
Ferenczi, Sébastien; Kwiatkowski, Jan; Mauduit, Christian
2
1995
Complexity of sequences defined by billiard in the cube. Zbl 0791.58034
Arnoux, Pierre; Mauduit, Christian; Shiokawa, Iekata; Tamura, Jun-Ichi
28
1994
The egodic theorem along a \(q\)-multiplicative sequence. Zbl 0818.28006
Lesigne, E.; Mauduit, C.; Mosse, B.
7
1994
Rauzy’s conjecture on billiards in the cube. Zbl 0814.11014
Arnoux, Pierre; Mauduit, Christian; Shiokawa, Iekata; Tamura, Jun-ichi
4
1994
Ergodicity of a class of cocycles over irrational rotations. Zbl 0801.28009
Lemańczyk, Mariusz; Mauduit, Christian
4
1994
Propriétés arithmétiques des substitutions. (Arithmetic properties of substitutions). Zbl 0741.11016
Mauduit, C.
3
1992
Suites de \(G_ q\)-orbite finie. (Sequences of finite \(G_ q\)-orbits). Zbl 0726.11016
Mauduit, Christian; Mossé, Brigitte
1
1991
Caractérisation des ensembles normaux substitutifs. (Characterization of normal substitutional sets). Zbl 0665.10035
Mauduit, Christian
9
1989
Sur l’ensemble normal des substitutions de longueur quelconque. (On the normal set of substitutions of arbitrary length). Zbl 0655.10053
Mauduit, Christian
4
1988
Automates finis et ensembles normaux. (Finite automata and normal sets). Zbl 0576.10026
Mauduit, Christian
12
1986
Morphismes unispectraux. (Unispectral morphisms). Zbl 0618.68062
Mauduit, Christian
4
1986
Automates finis et équirépartition modulo 1. (Finite automata and uniform distribution modulo 1). Zbl 0565.10030
Mauduit, Christian
3
1984
all top 5

Cited by 602 Authors

49 Mauduit, Christian
32 Sárközy, András
25 Berthé, Valérie
18 Rivat, Joël
16 Winterhof, Arne
14 Lemańczyk, Mariusz
14 Thuswaldner, Jörg Maximilian
12 Mérai, László
11 Dartyge, Cécile
11 Ferenczi, Sébastien
11 Gyarmati, Katalin
11 Shparlinski, Igor E.
10 Allouche, Jean-Paul Simon
10 Bugeaud, Yann
10 Chen, Zhixiong
10 Drmota, Michael
10 Pelantová, Edita
9 Liu, Huaning
9 Mkaouar, Mohamed
9 Stoll, Thomas
9 Wen, Zhixiong
9 Zamboni, Luca Quardo
8 Adamczewski, Boris
8 Cassaigne, Julien
8 Glen, Amy
8 Hubert, Pascal
8 Leroy, Julien
8 Madritsch, Manfred G.
8 Rigo, Michel
8 Solomyak, Boris
7 Perrin, Dominique
7 Reutenauer, Christophe
7 Sirvent, Víctor F.
7 Tan, Bo
6 Aistleitner, Christoph
6 Aloui, Karam
6 Bedaride, Nicolas
6 Dolce, Francesco
6 Kim, Donghan
6 Kułaga-Przymus, Joanna
6 Le Gonidec, Marion
6 Morgenbesser, Johannes F.
6 Starosta, Štěpán
6 Steiner, Wolfgang
5 Ahlswede, Rudolf
5 Durand, Fabien
5 Frettlöh, Dirk
5 Moreira, Carlos Gustavo Tamm de Araujo
5 Müllner, Clemens
5 Pavlov, Ronnie
5 Peltomäki, Jarkko
5 Rao, Hui
5 Siegel, Anne
5 Spiegelhofer, Lukas
5 Tichy, Robert Franz
5 Wannes, Walid
5 Zhuravlev, Vladimir Georgievich
4 Almeida, Jorge
4 Arnoux, Pierre
4 Bernat, Julien
4 Bufetov, Aleksandr Igorevich
4 Costa, Alfredo
4 De Felice, Clelia
4 Fan, Ai Hua
4 Gomez-Perez, Domingo
4 Grimm, Uwe
4 Ito, Shunji
4 Justin, Jacques
4 Konieczny, Jakub
4 Larcher, Gerhard
4 Lim, Seonhee
4 Luca, Florian
4 Masáková, Zuzana
4 Niederreiter, Harald
4 Richomme, Gwénaël
4 Rindone, Giuseppina
4 Shutov, Anton V.
4 Vuillon, Laurent
4 Zhang, Yiping
3 Ambrož, Petr
3 Banks, William D.
3 Bezuglyi, Sergey I.
3 Bressaud, Xavier
3 Chaika, Jonathan
3 De Koninck, Jean-Marie
3 Deshouillers, Jean-Marc
3 Du, Xiaoni
3 Dubickas, Artūras
3 Ei, Hiromi
3 Eisner, Tanja
3 El Abdalaoui, El Houcein
3 Èminyan, Karapet Mkrtichevich
3 Frączek, Krzysztof Marek
3 Grytczuk, Jarosław
3 Hare, Kevin G.
3 Harriss, Edmund Orme
3 Höfer, Richard M.
3 Jenkinson, Oliver
3 Julien, Antoine
3 Kamae, Teturo
...and 502 more Authors
all top 5

Cited in 158 Serials

54 Theoretical Computer Science
32 Journal of Number Theory
25 Periodica Mathematica Hungarica
24 Monatshefte für Mathematik
24 Ergodic Theory and Dynamical Systems
23 Annales de l’Institut Fourier
20 Discrete Mathematics
17 Journal de Théorie des Nombres de Bordeaux
17 The Ramanujan Journal
14 Journal d’Analyse Mathématique
13 Israel Journal of Mathematics
13 Proceedings of the American Mathematical Society
12 Discrete Applied Mathematics
12 Discrete and Continuous Dynamical Systems
11 Transactions of the American Mathematical Society
11 Advances in Applied Mathematics
10 European Journal of Combinatorics
10 Indagationes Mathematicae. New Series
10 RAIRO. Theoretical Informatics and Applications
10 International Journal of Number Theory
8 Advances in Mathematics
7 Topology and its Applications
6 Mathematical Notes
6 Acta Mathematica Hungarica
6 International Journal of Foundations of Computer Science
5 Bulletin of the Australian Mathematical Society
5 Compositio Mathematica
5 Functiones et Approximatio. Commentarii Mathematici
5 Designs, Codes and Cryptography
5 RAIRO. Theoretical Informatics and Applications
4 Nonlinearity
4 Chaos, Solitons and Fractals
4 Acta Arithmetica
4 Bulletin de la Société Mathématique de France
4 Duke Mathematical Journal
4 Inventiones Mathematicae
4 Mathematika
4 Finite Fields and their Applications
4 Annals of Mathematics. Second Series
4 Journal of the European Mathematical Society (JEMS)
4 Integers
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Cryptography and Communications
3 Communications in Mathematical Physics
3 Journal of Statistical Physics
3 Studia Mathematica
3 Geometriae Dedicata
3 Journal of Functional Analysis
3 Quaestiones Mathematicae
3 Journal of Complexity
3 Experimental Mathematics
3 Combinatorics, Probability and Computing
3 St. Petersburg Mathematical Journal
3 Chebyshevskiĭ Sbornik
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Letters in Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Bulletin of the London Mathematical Society
2 Colloquium Mathematicum
2 Journal of Algebra
2 Journal of Pure and Applied Algebra
2 Mathematische Annalen
2 Mathematica Slovaca
2 Osaka Journal of Mathematics
2 Discrete & Computational Geometry
2 International Journal of Algebra and Computation
2 Applicable Algebra in Engineering, Communication and Computing
2 Russian Mathematics
2 The Electronic Journal of Combinatorics
2 The Journal of Fourier Analysis and Applications
2 Theory of Computing Systems
2 Abstract and Applied Analysis
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 Annales Henri Poincaré
2 Dynamical Systems
2 Journal of the Australian Mathematical Society
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Advances in Mathematics of Communications
1 American Mathematical Monthly
1 Information Processing Letters
1 Journal of the Franklin Institute
1 Physica A
1 Arkiv för Matematik
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Theory of Probability and its Applications
1 Acta Mathematica
1 Algebra Universalis
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 Information Sciences
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Journal für die Reine und Angewandte Mathematik
...and 58 more Serials
all top 5

Cited in 46 Fields

389 Number theory (11-XX)
219 Dynamical systems and ergodic theory (37-XX)
190 Computer science (68-XX)
55 Measure and integration (28-XX)
54 Combinatorics (05-XX)
45 Information and communication theory, circuits (94-XX)
40 Convex and discrete geometry (52-XX)
19 Probability theory and stochastic processes (60-XX)
18 Group theory and generalizations (20-XX)
18 Operator theory (47-XX)
15 General topology (54-XX)
14 Numerical analysis (65-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
6 Mathematical logic and foundations (03-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 General and overarching topics; collections (00-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 General algebraic systems (08-XX)
4 Functional analysis (46-XX)
4 Quantum theory (81-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Associative rings and algebras (16-XX)
3 Topological groups, Lie groups (22-XX)
3 Real functions (26-XX)
3 Manifolds and cell complexes (57-XX)
3 Operations research, mathematical programming (90-XX)
2 Algebraic geometry (14-XX)
2 Difference and functional equations (39-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Statistics (62-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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