Liste de publications
- Joël RIVAT:
Autour d'un théorème de Piatetski-Shapiro
(Nombres premiers dans la suite [nc]).
Thèse de Doctorat, Université de Paris-Sud, 1992.
(pdf)
- Joël RIVAT:
Quelques propriétés des nombres premiers.
Habilitation, Université LYON I, 1999.
Articles
- Hong-Quan LIU, Joël RIVAT:
On the Piatetski-Shapiro Prime Number Theorem.
Bulletin London Mathematical Society, vol. 24, n° 2, 1992, pp. 143-147.
DOI .
- Marc DELÉGLISE, Joël RIVAT:
Computing π(x), M(x) and ψ(x).
Algorithmic Number Theory (Ithaca, NY),
Lecture Notes in Computer Science n° 877,
Springer, Berlin, 1994, p. 264.
DOI .
- Roger C. BAKER, Glyn HARMAN, Joël RIVAT:
Primes of the form [nc].
Journal of Number Theory vol. 50, n° 2, 1995, pp. 261-277.
DOI .
- Glyn HARMAN, Joël RIVAT:
Primes of the form [pc] and related questions.
Glasgow Mathematical Journal, vol. 37, n° 2, 1995, pp. 131-141.
DOI .
- Christian MAUDUIT, Joël RIVAT:
Répartition des fonctions q-multiplicatives
dans la suite ([nc]), c>1.
Acta Arithmetica, vol. 71, n° 2, 1995, pp. 171-179.
DOI .
- Marc DELÉGLISE, Joël RIVAT:
Computing π(x):
The Meissel, Lehmer, Lagarias, Miller, Odlyzko method.
Mathematics of Computation, vol. 65, n° 213, 1996, pp. 235-245.
DOI .
- Marc DELÉGLISE, Joël RIVAT:
Computing M(x).
Experimental Mathematics, vol. 5, n° 4, 1996, pp. 291-295.
EUCLID .
- Joël RIVAT, András SÁRKÖZY:
A sequences analog of the Piatetski-Shapiro problem.
Acta Mathematica Hungarica, vol. 74, n° 3, 1997, 245-260.
DOI .
- Marc DELÉGLISE, Joël RIVAT:
Computing ψ(x).
Mathematics of Computation, vol. 67, n° 224, 1998, pp. 1691-1696.
DOI .
- Joël RIVAT, András SÁRKÖZY, Cam L. STEWART:
Congruence properties of the Ω-function on sumsets.
Illinois Journal of Mathematics, vol. 43, n° 1, 1999, pp. 1-18.
EUCLID .
- Joël RIVAT:
On the metric theory of continued fractions.
Colloquium Mathematicum, vol. 79, n° 1, 1999, pp. 9-15.
DOI .
- Julien CASSAIGNE, Sébastien FERENCZI, Christian MAUDUIT,
Joël RIVAT, András SÁRKÖZY:
On finite pseudorandom binary sequences III
(The Liouville function I).
Acta Arithmetica, vol. 87, n° 4, 1999, pp. 367-390.
DOI .
- Julien CASSAIGNE, Sébastien FERENCZI, Christian MAUDUIT,
Joël RIVAT, András SÁRKÖZY:
On finite pseudorandom binary sequences IV
(The Liouville function II).
Acta Arithmetica, vol. 95, n° 4, 2000, pp. 343-359.
DOI .
- Hédi DABOUSSI, Joël RIVAT:
Explicit upper bounds for exponential sums over primes.
Mathematics of Computation, vol. 70, n° 233, 2001, pp. 431-447.
DOI .
- Joël RIVAT, Patrick SARGOS:
Nombres premiers de la forme [nc].
Canadian Journal of Mathematics, vol. 53, n° 2, 2001, pp. 414-433.
DOI .
- Joël RIVAT, Jie WU:
Primes of the form [nc].
Glasgow Mathematical Journal, vol. 43, 2001, pp. 237-254.
DOI .
- Joël RIVAT:
On pseudo-random properties of P(n) and P(n+1).
Periodica Mathematica Hungarica, vol. 43, n° 1-2, 2001, pp. 121-136.
DOI .
- Christian MAUDUIT, Joël RIVAT, András SÁRKÖZY:
On the pseudo-random properties of nc.
Illinois Journal of Mathematics, vol. 46, n° 1, 2002, pp. 185-197.
EUCLID .
- N. PYTHEAS FOGG:
Substitutions in Dynamics, Arithmetics and Combinatorics;
Appendix A: Undecomposable matrices in dimension 3, written by Joël Rivat.
Lecture Notes in Mathematics, vol. 1794, Springer, 2002, pp. 375-376.
DOI .
- Guillaume HANROT, Joël RIVAT, Gérald TENENBAUM, Paul ZIMMERMANN:
Density Results on Floating-Point Invertible Numbers.
Theoretical Computer Science, special issue on "Real Numbers and Computers",
vol. 291, n° 2, 2003, pp. 135-141.
DOI .
- Christian MAUDUIT, Joël RIVAT, András SÁRKÖZY:
Construction of pseudorandom binary sequences using additive characters.
Monatshefte für Mathematik, vol. 141, n° 3, 2004, pp. 197-208.
DOI .
- Joël RIVAT:
Les suites binaires pseudo-aléatoires.
Publications de l'Institut Élie Cartan Nancy, vol. 17, 2004, pp. 57-64.
- Étienne FOUVRY, Philippe MICHEL, Joël RIVAT, András SÁRKÖZY:
On the pseudorandomness of the signs of Kloosterman sums.
Journal of the Australian Mathematical Society, vol. 77, 2004, pp. 425-436.
DOI .
- Joël RIVAT, Gérald TENENBAUM:
Constantes d'Erdös-Turán.
The Ramanujan Journal, vol. 9, No. 1-2, 2005, pp. 111-121.
DOI .
- Joël RIVAT, András SÁRKÖZY:
On pseudorandom binary sequences and their applications.
Information Transfer and Combinatorics, Lecture Notes in Computer
Science 4123, pp. 343-361.
DOI .
- Christian MAUDUIT, Joël RIVAT:
Propriétés q-multiplicatives de la suite [nc], c>1.
Acta Arithmetica, vol. 118, n° 2, 2005, pp. 187-203.
DOI .
- Michael DRMOTA, Joël RIVAT:
The Sum of Digits Function of Squares.
Journal of the London Mathematical Society, vol. 72, n°2, 2005, pp 273-292.
DOI .
- Joël RIVAT, András SÁRKÖZY:
Modular construction of pseudorandom binary sequences with composite moduli.
Periodica Mathematica Hungarica, vol. 51, n° 2, 2005, pp. 75-107.
DOI .
- Stéphane LOUBOUTIN, Joël RIVAT, András SÁRKÖZY:
On a Problem of D. H. Lehmer.
Proceedings of the American Mathematical Society, vol. 135, n° 4,
2007, pp. 969-975.
DOI .
- Harald NIEDERREITER, Joël RIVAT:
On the correlation of pseudorandom numbers generated by inversive methods.
Monatshefte für Mathematik, vol. 153, n° 3, 2008, pp. 251-264.
DOI .
- Harald NIEDERREITER, Joël RIVAT, András SÁRKÖZY:
Pseudorandom sequences of binary vectors.
Acta Arithmetica, vol. 133, n° 2, 2008, pp. 109-125.
DOI .
- Michael DRMOTA, Joël RIVAT, Thomas STOLL:
The sum of digits of primes in Z[i].
Monatshefte für Mathematik, vol. 155, n° 3-4, 2008, pp. 317-347.
DOI .
- Michael DRMOTA, Christian MAUDUIT, Joël RIVAT:
Primes with an Average Sum of Digits.
Compositio, vol. 145, n° 2, 2009, pp. 271-292.
DOI .
- Christian MAUDUIT, Joël RIVAT:
La somme des chiffres des carrés.
Acta Mathematica, vol. 203, 2009, pp. 107-148.
DOI .
- Harald NIEDERREITER, Joël RIVAT:
On the Gowers norm of pseudorandom binary sequences.
Bulletin of the Australian Mathematical Society, vol. 79, 2009, pp. 259-271.
DOI .
- Joël RIVAT:
On Gelfond's conjecture about the sum of digits of prime numbers.
Journal de Théorie des Nombres de Bordeaux, vol. 21, n° 2, 2009, pp. 415-423.
DOI .
- Joël RIVAT, András SÁRKÖZY:
A Turán-Kubilius type inequality on sum sets.
Acta Arithmetica, vol. 142 n° 4, 2010, pp. 311-329.
DOI .
- Christian MAUDUIT, Joël RIVAT:
Sur un problème de Gelfond: la somme des chiffres des nombres premiers.
Annals of Mathematics, vol. 171, n° 3, 2010, 1591-1646.
DOI .
- Michael DRMOTA, Christian MAUDUIT, Joël RIVAT:
The Sum of Digits Function of Polynomial Sequences.
Journal of the London Mathematical Society, vol. 84, n° 1, 2011, pp. 81-102.
DOI .
- Joël RIVAT, András SÁRKÖZY:
A Turán-Kubilius type inequality on shifted products.
Publicationes Mathematicae Debrecen, vol. 79, n° 3-4, 2011, pp. 637-662.
DOI .
- Antal BALOG, Joël RIVAT, András SÁRKÖZY:
On arithmetic properties of sumsets.
Acta Mathematica Hungarica, vol. 144, n°1, 2014, pp. 18-42.
DOI .
- Bruno MARTIN, Christian MAUDUIT, Joël RIVAT:
Théorème des nombres premiers pour les fonctions digitales.
Acta Arithmetica, vol. 165, n°1, 2014, pp. 11-45.
DOI .
- Bruno MARTIN, Christian MAUDUIT, Joël RIVAT:
Fonctions digitales le long des nombres premiers.
Acta Arithmetica, vol. 170, n°2, 2015, pp. 175-197.
DOI .
- Christian MAUDUIT, Joël RIVAT:
Prime numbers along Rudin-Shapiro sequences.
Journal of the European Mathematical Society, vol.27, 2015, pp. 2595-2642.
DOI .
- Joël RIVAT, András SÁRKÖZY:
On arithmetic properties of products and shifted products.
Analytic Number Theory, volume dedicated to Professor Helmut Maier,
Springer, 2015.
DOI .
- Joël RIVAT, Igor SHPARLINSKI:
Multiples of squares in short intervals.
Functiones et Approximatio, vol. 54, n°1, 2016, pp. 57-63.
DOI .
- Christian MAUDUIT, Joël RIVAT, András SÁRKÖZY:
On the digits of sumsets.
Canadian Journal of Mathematics, vol. 69, n° 3, 2017, pp. 595-612.
DOI .
- Étienne FOUVRY, Emmanuel KOWALSKI, Philippe MICHEL,
Chandra Sekhar RAJU, Joël RIVAT, Kannan SOUNDARARAJAN:
On short sums of trace functions.
Annales de l'Institut Fourier,
vol. 67, n°1, 2017, pp. 423-449.
DOI .
- Christian MAUDUIT, Joël RIVAT:
Rudin-Shapiro sequences along squares.
Transactions of the American Mathematical Society,
vol. 370, n° 11, 2018, pp. 7899-7921,
DOI .
- Joël RIVAT:
Bases of analytic number theory.
Lecture Notes in Math.,
vol. 2213, 2018, pp. 1-113.
- László MÉRAI, Joël RIVAT, András SÁRKÖZY:
The measures of pseudorandomness and the NIST tests.
in "Number-theoretic methods in cryptology",
Lecture Notes in Comput. Sci., vol. 10737, pp. 197-216, 2018.
DOI .
- Christian MAUDUIT, Hugh L. MONTGOMERY, Joël RIVAT:
Moments of a Thue-Morse generating function.
Journal d'Analyse Mathématique, vol. 135, n° 2, 2018, pp. 713-724.
DOI .
- Bruno MARTIN, Christian MAUDUIT, Joël RIVAT:
Propriétés locales des chiffres des nombres premiers.
Journal de l'Institut de Mathématiques de Jussieu,
vol. 18, n° 1, 2019, pp. 189-224,
DOI .
- Bruno MARTIN, Christian MAUDUIT, Joël RIVAT:
Nombres premiers avec contraintes digitales multiples.
Bulletin de la Société Mathématique de France, vol. 147, n° 2, 2019, 259-287.
DOI .
- Christian MAUDUIT, Joël RIVAT, András SÁRKÖZY:
On the distribution of the Sum of Digits of sums a+b.
Ramanujan Journal, vol. 49, n° 1, 2019, pp. 55-73.
DOI .
- Michael DRMOTA, Christian MAUDUIT, Joël RIVAT:
Normality along squares.
Journal of the European Mathematical Society, vol. 21, n° 2, 2019, 507-548.
DOI .
- Michael DRMOTA, Christian MAUDUIT, Joël RIVAT:
Prime numbers in two bases.
Duke Mathematical Journal, vol. 169, n° 10, 2020, 1809-1876.
DOI .
- Michael DRMOTA, Christian MAUDUIT, Joël RIVAT, Lukas SPIEGELHOFER:
Möbius orthogonality of sequences with maximal entropy.
Journal d'Analyse Mathématique, vol. 146, 2022, 531-548.
DOI .
- Michael DRMOTA, Mariusz LEMAŃCZYK, Clemens MÜLLNER, Joël RIVAT:
Some recent developments on the Sarnak conjecture.
Panoramas et Synthèses, Soc. Math. de France, to appear.
- Cécile DARTYGE, Bruno MARTIN, Joël RIVAT, Igor SHPARLINSKI, Cathy SWAENEPOEL:
Reversible Primes.
Journal of the London Mathematical Society, to appear.
- Guy BARAT, Bruno MARTIN, Joël RIVAT:
Fonctions additives en base de Cantor le long des nombres premiers.
Submitted.
- Manfred MADRITSCH, Joël RIVAT, Robert TICHY:
On Finite Pseudorandom Binary Sequences: Functions from a Hardy field.
Submitted.