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Author ID: rivat.joel Recent zbMATH articles by "Rivat, Joël"
Published as: Rivat, Joël; Rivat, J.; Rivat, Jöel
External Links: MGP
Documents Indexed: 57 Publications since 1992
Co-Authors: 31 Co-Authors with 53 Joint Publications
1,030 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 631 times in 336 Documents Cited by Year
On a problem of Gelfond: the sum of digits of prime numbers. (Sur un problème de Gelfond: la somme des chiffres des nombres premiers.) Zbl 1213.11025
Mauduit, Christian; Rivat, Joël
100
2010
The sum of digits of squares. (La somme des chiffres des carrés.) Zbl 1278.11076
Mauduit, Christian; Rivat, Joël
52
2009
Prime numbers along Rudin-Shapiro sequences. Zbl 1398.11121
Mauduit, Christian; Rivat, Joël
32
2015
Prime numbers of the form \([n^2]\). Zbl 0987.11052
Rivat, Joël; Wu, Jie
32
2001
Nombres premiers de la forme \([n^c]\). (Prime numbers of the form \([n^c]\)). Zbl 0970.11035
Rivat, Joël; Sargos, Patrick
30
2001
Construction of pseudorandom binary sequences using additive characters. Zbl 1110.11024
Mauduit, Christian; Rivat, Joël; Sárközy, András
26
2004
Primes with an average sum of digits. Zbl 1230.11013
Drmota, Michael; Mauduit, Christian; Rivat, Joël
24
2009
Prime number theorem for digital functions. (Théorème des nombres premiers pour les fonctions digitales.) Zbl 1395.11023
Martin, Bruno; Mauduit, Christian; Rivat, Joël
23
2014
The sum-of-digits function of polynomial sequences. Zbl 1257.11009
Drmota, Michael; Mauduit, Christian; Rivat, Joël
21
2011
Modular constructions of pseudorandom binary sequences with composite moduli. Zbl 1111.11041
Rivat, Joël; Sárközy, András
20
2005
Primes of the form \([n^ c]\). Zbl 0822.11062
Baker, R. C.; Harman, G.; Rivat, J.
19
1995
On finite pseudorandom binary sequences. III: The Liouville function. I. Zbl 0920.11053
Cassaigne, Julien; Ferenczi, Sébastien; Rivat, Jöel; Sárközy, András; Mauduit, Christian
19
1999
Normality along squares. Zbl 1430.11010
Drmota, Michael; Mauduit, Christian; Rivat, Joël
18
2019
On the Pjateckii-Šapiro prime number theorem. Zbl 0772.11032
Liu, H. Q.; Rivat, J.
17
1992
On the pseudorandomness of the signs of Kloosterman sums. Zbl 1063.11023
Fouvry, Étienne; Michel, Philippe; Rivat, Joël; Sárközy, András
17
2004
On short sums of trace functions. (Sur les sommes courtes de fonctions trace.) Zbl 1392.11060
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Raju, Chandra Sekhar; Rivat, Joël; Soundararajan, Kannan
17
2017
The sum-of-digits function of squares. Zbl 1092.11006
Drmota, Michael; Rivat, Joël
16
2005
Computing \(\pi(x)\): The Meissel, Lehmer, Lagarias, Miller, Odlyzko method. Zbl 0869.11068
Deléglise, M.; Rivat, J.
13
1996
On finite pseudorandom binary sequences. IV. Zbl 0961.11026
Cassaigne, Julien; Ferenczi, Sébastien; Mauduit, Christian; Rivat, Joël; Sárközy, András
13
2000
Digital functions along prime numbers. (Fonctions digitales le long des nombres premiers.) Zbl 1395.11024
Martin, Bruno; Mauduit, Christian; Rivat, Joël
11
2015
\(q\)-multiplicative properties of the sequence \(\lfloor n^c \rfloor\), \(c>1\). (Propriétés \(q\)-multiplicatives de la suite \(\lfloor n^c \rfloor\), \(c>1\).) Zbl 1082.11058
Mauduit, Christian; Rivat, Joël
11
2005
Erdős-Turán constants. (Constantes d’Erdős-Turán.) Zbl 1145.11318
Rivat, J.; Tenenbaum, G.
11
2005
On the correlation of pseudorandom numbers generated by inversive methods. Zbl 1137.11051
Niederreiter, Harald; Rivat, Joël
8
2008
Distribution of \(q\)-multiplicative functions in the sequence \(([n^ c])_{n\in\mathbb{N}}\), \(c > 1\). (Répartition des fonctions \(q\)-multiplicatives dans la suite \(([n^ c])_{n\in\mathbb{N}}\), \(c > 1\).) Zbl 0827.11048
Mauduit, Christian; Rivat, Joël
7
1995
Congruence properties of the \(\Omega\)-function on sumsets. Zbl 0926.11075
Rivat, J.; Sárközy, A.; Stewart, C. L.
7
1999
On the pseudo-random properties of \(n^c\). Zbl 1070.11031
Mauduit, Christian; Rivat, Joël; Sárkőzy, András
7
2002
On a problem of D. H. Lehmer. Zbl 1160.11039
Louboutin, Stéphane R.; Rivat, Joël; Sárközy, András
6
2007
Rudin-Shapiro sequences along squares. Zbl 1421.11063
Mauduit, Christian; Rivat, Joël
6
2018
Computing the summation of the Möbius function. Zbl 1007.11083
Deléglise, Marc; Rivat, Joël
5
1996
On pseudo-random properties of \(P(n)\) and \(P(n+1)\). Zbl 0980.11034
Rivat, Joël
5
2001
On the digits of sumsets. Zbl 1439.11028
Mauduit, Christian; Rivat, Joël; Sárközy, András
4
2017
On arithmetic properties of sumsets. Zbl 1349.11015
Balog, A.; Rivat, J.; Sárközy, A.
3
2014
The sum of digits of primes in \(\mathbb Z[i]\). Zbl 1190.11053
Drmota, Michael; Rivat, Joël; Stoll, Thomas
3
2008
Local properties of digits of prime numbers. (Propriétés locales des chiffres des nombres premiers.) Zbl 1455.11117
Martin, Bruno; Mauduit, Christian; Rivat, Joël
3
2019
Density results on floating-point invertible numbers. Zbl 1064.68003
Hanrot, G.; Rivat, J.; Tenenbaum, G.; Zimmermann, P.
3
2003
On the Gowers norm of pseudorandom binary sequences. Zbl 1238.11077
Niederreiter, Harald; Rivat, Joël
2
2009
Pseudorandom sequences of binary vectors. Zbl 1239.11086
Niederreiter, Harald; Rivat, Joël; Sárközy, András
2
2008
On pseudorandom sequences and their application. Zbl 1196.11111
Rivat, J.; Sárközy, András
2
2006
Primes of the form \([p^ c]\) and related questions. Zbl 0839.11037
Harman, Glyn; Rivat, Joël
2
1995
Computing \(\psi(x)\). Zbl 1036.11538
Deléglise, Marc; Rivat, Joël
2
1998
On arithmetic properties of products and shifted products. Zbl 1390.11110
Rivat, Joël; Sárközy, András
2
2015
Explicit upper bounds for exponential sums over primes. Zbl 1043.11063
Daboussi, Hedi; Rivat, Joël
2
2001
Prime numbers with multiple digital constraints. (Nombres premiers avec contraintes digitales multiples.) Zbl 1477.11014
Martin, Bruno; Mauduit, Christian; Rivat, Joël
2
2019
The measures of pseudorandomness and the NIST tests. Zbl 1423.11133
Mérai, László; Rivat, Joël; Sárközy, András
2
2018
A sequences analog of the Piatetski-Shapiro problem. Zbl 0923.11038
Rivat, J.; Sárközy, A.
1
1997
A Turán-Kubilius type inequality on shifted products. Zbl 1249.11087
Rivat, Joël; Sárközy, András
1
2011
Moments of a Thue-Morse generating function. Zbl 1448.11059
Mauduit, Christian; Montgomery, Hugh L.; Rivat, J.
1
2018
Prime numbers in two bases. Zbl 1484.11016
Drmota, Michael; Mauduit, Christian; Rivat, Joël
1
2020
Prime numbers in two bases. Zbl 1484.11016
Drmota, Michael; Mauduit, Christian; Rivat, Joël
1
2020
Normality along squares. Zbl 1430.11010
Drmota, Michael; Mauduit, Christian; Rivat, Joël
18
2019
Local properties of digits of prime numbers. (Propriétés locales des chiffres des nombres premiers.) Zbl 1455.11117
Martin, Bruno; Mauduit, Christian; Rivat, Joël
3
2019
Prime numbers with multiple digital constraints. (Nombres premiers avec contraintes digitales multiples.) Zbl 1477.11014
Martin, Bruno; Mauduit, Christian; Rivat, Joël
2
2019
Rudin-Shapiro sequences along squares. Zbl 1421.11063
Mauduit, Christian; Rivat, Joël
6
2018
The measures of pseudorandomness and the NIST tests. Zbl 1423.11133
Mérai, László; Rivat, Joël; Sárközy, András
2
2018
Moments of a Thue-Morse generating function. Zbl 1448.11059
Mauduit, Christian; Montgomery, Hugh L.; Rivat, J.
1
2018
On short sums of trace functions. (Sur les sommes courtes de fonctions trace.) Zbl 1392.11060
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Raju, Chandra Sekhar; Rivat, Joël; Soundararajan, Kannan
17
2017
On the digits of sumsets. Zbl 1439.11028
Mauduit, Christian; Rivat, Joël; Sárközy, András
4
2017
Prime numbers along Rudin-Shapiro sequences. Zbl 1398.11121
Mauduit, Christian; Rivat, Joël
32
2015
Digital functions along prime numbers. (Fonctions digitales le long des nombres premiers.) Zbl 1395.11024
Martin, Bruno; Mauduit, Christian; Rivat, Joël
11
2015
On arithmetic properties of products and shifted products. Zbl 1390.11110
Rivat, Joël; Sárközy, András
2
2015
Prime number theorem for digital functions. (Théorème des nombres premiers pour les fonctions digitales.) Zbl 1395.11023
Martin, Bruno; Mauduit, Christian; Rivat, Joël
23
2014
On arithmetic properties of sumsets. Zbl 1349.11015
Balog, A.; Rivat, J.; Sárközy, A.
3
2014
The sum-of-digits function of polynomial sequences. Zbl 1257.11009
Drmota, Michael; Mauduit, Christian; Rivat, Joël
21
2011
A Turán-Kubilius type inequality on shifted products. Zbl 1249.11087
Rivat, Joël; Sárközy, András
1
2011
On a problem of Gelfond: the sum of digits of prime numbers. (Sur un problème de Gelfond: la somme des chiffres des nombres premiers.) Zbl 1213.11025
Mauduit, Christian; Rivat, Joël
100
2010
The sum of digits of squares. (La somme des chiffres des carrés.) Zbl 1278.11076
Mauduit, Christian; Rivat, Joël
52
2009
Primes with an average sum of digits. Zbl 1230.11013
Drmota, Michael; Mauduit, Christian; Rivat, Joël
24
2009
On the Gowers norm of pseudorandom binary sequences. Zbl 1238.11077
Niederreiter, Harald; Rivat, Joël
2
2009
On the correlation of pseudorandom numbers generated by inversive methods. Zbl 1137.11051
Niederreiter, Harald; Rivat, Joël
8
2008
The sum of digits of primes in \(\mathbb Z[i]\). Zbl 1190.11053
Drmota, Michael; Rivat, Joël; Stoll, Thomas
3
2008
Pseudorandom sequences of binary vectors. Zbl 1239.11086
Niederreiter, Harald; Rivat, Joël; Sárközy, András
2
2008
On a problem of D. H. Lehmer. Zbl 1160.11039
Louboutin, Stéphane R.; Rivat, Joël; Sárközy, András
6
2007
On pseudorandom sequences and their application. Zbl 1196.11111
Rivat, J.; Sárközy, András
2
2006
Modular constructions of pseudorandom binary sequences with composite moduli. Zbl 1111.11041
Rivat, Joël; Sárközy, András
20
2005
The sum-of-digits function of squares. Zbl 1092.11006
Drmota, Michael; Rivat, Joël
16
2005
\(q\)-multiplicative properties of the sequence \(\lfloor n^c \rfloor\), \(c>1\). (Propriétés \(q\)-multiplicatives de la suite \(\lfloor n^c \rfloor\), \(c>1\).) Zbl 1082.11058
Mauduit, Christian; Rivat, Joël
11
2005
Erdős-Turán constants. (Constantes d’Erdős-Turán.) Zbl 1145.11318
Rivat, J.; Tenenbaum, G.
11
2005
Construction of pseudorandom binary sequences using additive characters. Zbl 1110.11024
Mauduit, Christian; Rivat, Joël; Sárközy, András
26
2004
On the pseudorandomness of the signs of Kloosterman sums. Zbl 1063.11023
Fouvry, Étienne; Michel, Philippe; Rivat, Joël; Sárközy, András
17
2004
Density results on floating-point invertible numbers. Zbl 1064.68003
Hanrot, G.; Rivat, J.; Tenenbaum, G.; Zimmermann, P.
3
2003
On the pseudo-random properties of \(n^c\). Zbl 1070.11031
Mauduit, Christian; Rivat, Joël; Sárkőzy, András
7
2002
Prime numbers of the form \([n^2]\). Zbl 0987.11052
Rivat, Joël; Wu, Jie
32
2001
Nombres premiers de la forme \([n^c]\). (Prime numbers of the form \([n^c]\)). Zbl 0970.11035
Rivat, Joël; Sargos, Patrick
30
2001
On pseudo-random properties of \(P(n)\) and \(P(n+1)\). Zbl 0980.11034
Rivat, Joël
5
2001
Explicit upper bounds for exponential sums over primes. Zbl 1043.11063
Daboussi, Hedi; Rivat, Joël
2
2001
On finite pseudorandom binary sequences. IV. Zbl 0961.11026
Cassaigne, Julien; Ferenczi, Sébastien; Mauduit, Christian; Rivat, Joël; Sárközy, András
13
2000
On finite pseudorandom binary sequences. III: The Liouville function. I. Zbl 0920.11053
Cassaigne, Julien; Ferenczi, Sébastien; Rivat, Jöel; Sárközy, András; Mauduit, Christian
19
1999
Congruence properties of the \(\Omega\)-function on sumsets. Zbl 0926.11075
Rivat, J.; Sárközy, A.; Stewart, C. L.
7
1999
Computing \(\psi(x)\). Zbl 1036.11538
Deléglise, Marc; Rivat, Joël
2
1998
A sequences analog of the Piatetski-Shapiro problem. Zbl 0923.11038
Rivat, J.; Sárközy, A.
1
1997
Computing \(\pi(x)\): The Meissel, Lehmer, Lagarias, Miller, Odlyzko method. Zbl 0869.11068
Deléglise, M.; Rivat, J.
13
1996
Computing the summation of the Möbius function. Zbl 1007.11083
Deléglise, Marc; Rivat, Joël
5
1996
Primes of the form \([n^ c]\). Zbl 0822.11062
Baker, R. C.; Harman, G.; Rivat, J.
19
1995
Distribution of \(q\)-multiplicative functions in the sequence \(([n^ c])_{n\in\mathbb{N}}\), \(c > 1\). (Répartition des fonctions \(q\)-multiplicatives dans la suite \(([n^ c])_{n\in\mathbb{N}}\), \(c > 1\).) Zbl 0827.11048
Mauduit, Christian; Rivat, Joël
7
1995
Primes of the form \([p^ c]\) and related questions. Zbl 0839.11037
Harman, Glyn; Rivat, Joël
2
1995
On the Pjateckii-Šapiro prime number theorem. Zbl 0772.11032
Liu, H. Q.; Rivat, J.
17
1992
all top 5

Cited by 303 Authors

27 Mauduit, Christian
20 Rivat, Joël
16 Shparlinski, Igor E.
14 Sárközy, András
13 Drmota, Michael
12 Liu, Huaning
12 Stoll, Thomas
9 Chen, Zhixiong
9 Winterhof, Arne
8 Mérai, László
8 Mkaouar, Mohamed
7 Baker, Roger C.
7 Guo, Victor Zhenyu
7 Spiegelhofer, Lukas
6 Dartyge, Cécile
6 Kowalski, Emmanuel
6 Madritsch, Manfred G.
6 Michel, Philippe Gabriel
6 Morgenbesser, Johannes F.
6 Müllner, Clemens
6 Wannes, Walid
5 Deléglise, Marc
5 Elsholtz, Christian
5 Fan, Ai Hua
5 Konieczny, Jakub
5 Lemańczyk, Mariusz
5 Li, Jinjiang
5 Tao, Terence
5 Thuswaldner, Jörg Maximilian
5 Zhang, Min
4 Aloui, Karam
4 Banks, William David
4 Èminyan, Karapet Mkrtichevich
4 Fouvry, Etienne
4 Nicolas, Jean-Louis
4 Niederreiter, Harald
4 Sawin, William F.
4 Zhai, Wenguang
3 Akbal, Yıldırım
3 Allouche, Jean-Paul Simon
3 Bourgain, Jean
3 Car, Mireille
3 Deshouillers, Jean-Marc
3 Dietmann, Rainer
3 Du, Xiaoni
3 Gyarmati, Katalin
3 Harman, Glyn
3 Hofer, Roswitha
3 Jiang, Yujiao
3 Lamzouri, Youness
3 Lu, Guangshi
3 Mak, Kit-Ho
3 Ramaré, Olivier
3 Swaenepoel, Cathy
3 Tenenbaum, Gérald
3 Wang, Zhiwei
3 Xi, Ping
2 Ahlswede, Rudolf
2 Aistleitner, Christoph
2 Bettin, Sandro
2 Bonolis, Dante
2 Cao, Xiaodong
2 Changa, Maris Evgen’evich
2 De Koninck, Jean-Marie
2 Dimitrov, Stoyan Ivanov
2 Drappeau, Sary
2 Dusart, Pierre
2 Ferenczi, Sébastien
2 Gomez-Perez, Domingo
2 Hajdu, Lajos
2 Hare, Kevin G.
2 Jing, Mengyao
2 Kaneko, Hajime
2 Kasjan, Stanisław
2 Kátai, Imre
2 Kim, Sungjin
2 Kułaga-Przymus, Joanna
2 Kumchev, Angel V.
2 Laishram, Shanta
2 Larchner, Gerhard
2 Liu, Kui
2 Martin, Bruno
2 Maynard, James
2 Mirek, Mariusz
2 Mosaki, Elie
2 Oon, Shea-Ming
2 Pollack, Paul
2 Popoli, Pierre
2 Qi, Jinyun
2 Qi, Yuchan
2 Reis, Lucas
2 Saito, Kota
2 Sarnak, Peter Clive
2 Shallit, Jeffrey Outlaw
2 Wang, Zhiren
2 Wu, Chenhuang
2 Wu, Jie
2 Yoshida, Yuuya
2 Zhang, Tianping
1 Adamczewski, Boris
...and 203 more Authors
all top 5

Cited in 110 Serials

22 Journal of Number Theory
17 International Journal of Number Theory
14 Acta Arithmetica
14 Monatshefte für Mathematik
14 Proceedings of the American Mathematical Society
14 The Ramanujan Journal
12 Periodica Mathematica Hungarica
11 Mathematics of Computation
10 Acta Mathematica Hungarica
9 Journal de Théorie des Nombres de Bordeaux
8 Functiones et Approximatio. Commentarii Mathematici
8 Finite Fields and their Applications
7 Journal d’Analyse Mathématique
6 Mathematika
6 Transactions of the American Mathematical Society
5 Advances in Mathematics
4 Annales de l’Institut Fourier
4 Ergodic Theory and Dynamical Systems
4 Integers
3 Bulletin of the Australian Mathematical Society
3 Indian Journal of Pure & Applied Mathematics
3 Mathematical Notes
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Rocky Mountain Journal of Mathematics
3 Bulletin de la Société Mathématique de France
3 Compositio Mathematica
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Indagationes Mathematicae. New Series
3 Discrete and Continuous Dynamical Systems
3 Annals of Mathematics. Second Series
3 Uniform Distribution Theory
3 Cryptography and Communications
2 Israel Journal of Mathematics
2 Studia Mathematica
2 Bulletin of the London Mathematical Society
2 Mathematische Zeitschrift
2 Theoretical Computer Science
2 Revista Matemática Iberoamericana
2 Designs, Codes and Cryptography
2 Geometric and Functional Analysis. GAFA
2 Taiwanese Journal of Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Sinica. English Series
2 Journal of the Australian Mathematical Society
2 Journal of the Institute of Mathematics of Jussieu
2 Proceedings of the Steklov Institute of Mathematics
2 Frontiers of Mathematics in China
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Lithuanian Mathematical Journal
1 Nonlinearity
1 Chaos, Solitons and Fractals
1 Theory of Probability and its Applications
1 Acta Mathematica
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Information Sciences
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Equations
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
1 Statistics & Probability Letters
1 Chinese Annals of Mathematics. Series B
1 Journal of Computer Science and Technology
1 Algorithmica
1 Applied Mathematics Letters
1 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
1 Science in China. Series A
1 The Journal of Geometric Analysis
1 Applied Mathematical Modelling
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Applicable Algebra in Engineering, Communication and Computing
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Combinatorics, Probability and Computing
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 The Journal of Fourier Analysis and Applications
1 Annals of Combinatorics
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Journal of Integer Sequences
1 Communications in Contemporary Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Chebyshevskiĭ Sbornik
...and 10 more Serials

Citations by Year