Joël Rivat

1.3k total citations
48 papers, 649 citations indexed

About

Joël Rivat is a scholar working on Algebra and Number Theory, Computational Theory and Mathematics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Joël Rivat has authored 48 papers receiving a total of 649 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Algebra and Number Theory, 16 papers in Computational Theory and Mathematics and 14 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Joël Rivat's work include Analytic Number Theory Research (31 papers), Coding theory and cryptography (12 papers) and Advanced Mathematical Identities (12 papers). Joël Rivat is often cited by papers focused on Analytic Number Theory Research (31 papers), Coding theory and cryptography (12 papers) and Advanced Mathematical Identities (12 papers). Joël Rivat collaborates with scholars based in France, Hungary and Austria. Joël Rivat's co-authors include Christian Mauduit, Andràs Sárközy, Michael Drmota, Patrick Sargos, Jie Wu, Roger C. Baker, Sébastien Ferenczi, Julien Cassaigne, G. Harman and Philippe Michel and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Joël Rivat

46 papers receiving 615 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Joël Rivat France	16	449	279	241	190	143	48	649
Mei-Chu Chang United States	15	245 0.5×	93 0.3×	165 0.7×	315 1.7×	174 1.2×	75	621
Javier Cilleruelo Spain	11	199 0.4×	89 0.3×	109 0.5×	228 1.2×	89 0.6×	74	422
Todd Cochrane United States	13	386 0.9×	161 0.6×	37 0.2×	163 0.9×	124 0.9×	59	490
Yong-Gao Chen China	13	350 0.8×	66 0.2×	169 0.7×	358 1.9×	90 0.6×	155	628
José Felipe Voloch United States	17	235 0.5×	382 1.4×	209 0.9×	224 1.2×	223 1.6×	88	906
Antal Balog Hungary	13	298 0.7×	64 0.2×	89 0.4×	284 1.5×	85 0.6×	54	464
Ilya D. Shkredov Russia	13	169 0.4×	67 0.2×	162 0.7×	458 2.4×	59 0.4×	93	533
Jan‐Hendrik Evertse Netherlands	16	398 0.9×	107 0.4×	256 1.1×	151 0.8×	283 2.0×	56	839
Artūras Dubickas Lithuania	12	332 0.7×	113 0.4×	248 1.0×	110 0.6×	249 1.7×	171	643
Ben Green United States	20	474 1.1×	109 0.4×	339 1.4×	835 4.4×	259 1.8×	51	1.1k

Countries citing papers authored by Joël Rivat

Since Specialization

Citations

This map shows the geographic impact of Joël Rivat's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Joël Rivat with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Joël Rivat more than expected).

Fields of papers citing papers by Joël Rivat

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Joël Rivat. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Joël Rivat. The network helps show where Joël Rivat may publish in the future.

Co-authorship network of co-authors of Joël Rivat

This figure shows the co-authorship network connecting the top 25 collaborators of Joël Rivat. A scholar is included among the top collaborators of Joël Rivat based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Joël Rivat. Joël Rivat is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Rivat, Joël, et al.. (2024). Reversible primes. Journal of the London Mathematical Society. 109(3). 1 indexed citations

Drmota, Michael, Christian Mauduit, & Joël Rivat. (2020). Prime numbers in two bases. Duke Mathematical Journal. 169(10). 3 indexed citations

Mauduit, Christian, et al.. (2019). Nombres premiers avec contraintes digitales multiples. HAL (Le Centre pour la Communication Scientifique Directe). 1 indexed citations

Fouvry, Étienne, et al.. (2017). On short sums of trace functions. Annales de l’institut Fourier. 67(1). 423–449. 9 indexed citations

Mauduit, Christian, et al.. (2017). PROPRIÉTÉS LOCALES DES CHIFFRES DES NOMBRES PREMIERS. Journal of the Institute of Mathematics of Jussieu. 18(1). 189–224. 3 indexed citations

Mauduit, Christian, Joël Rivat, & Andràs Sárközy. (2016). On the Digits of Sumsets. Canadian Journal of Mathematics. 69(3). 595–612. 3 indexed citations

Rivat, Joël & Igor E. Shparlinski. (2016). Multiples of squares in short intervals. Functiones et Approximatio Commentarii Mathematici. 54(1). 1 indexed citations

Mauduit, Christian & Joël Rivat. (2015). Prime numbers along Rudin–Shapiro sequences. Journal of the European Mathematical Society. 17(10). 2595–2642. 20 indexed citations

Balog, Antal, Joël Rivat, & Andràs Sárközy. (2014). On arithmetic properties of sumsets. Acta Mathematica Academiae Scientiarum Hungaricae. 144(1). 18–42. 2 indexed citations

10.

Mauduit, Christian & Joël Rivat. (2010). Sur un problème de Gelfond : la somme des chiffres des nombres premiers. Annals of Mathematics. 171(3). 1591–1646. 81 indexed citations

11.

Drmota, Michael, et al.. (2008). The sum of digits of primes in $${\mathbb{Z}}$$ [i]. Monatshefte für Mathematik. 155(3-4). 317–347. 3 indexed citations

12.

Niederreiter, Harald, Joël Rivat, & Andràs Sárközy. (2008). Pseudorandom sequences of binary vectors. Acta Arithmetica. 133(2). 109–125. 2 indexed citations

13.

Rivat, Joël & Gérald Tenenbaum. (2005). Constantes d’Erdös–Turán. The Ramanujan Journal. 9(1-2). 111–121. 7 indexed citations

14.

Drmota, Michael & Joël Rivat. (2005). The Sum-of-Digits Function of Squares. Journal of the London Mathematical Society. 72(2). 273–292. 18 indexed citations

15.

Mauduit, Christian, Joël Rivat, & Andràs Sárközy. (2002). On the pseudo-random properties of $n^c$. Illinois Journal of Mathematics. 46(1). 10 indexed citations

16.

Rivat, Joël & Patrick Sargos. (2001). Nombres premiers de la forme ⌊n^c⌋. Canadian Journal of Mathematics. 53(2). 414–433. 42 indexed citations

17.

Rivat, Joël & Jie Wu. (2001). Prime numbers of the form [n^c]. Glasgow Mathematical Journal. 43(2). 237–254. 33 indexed citations

18.

Rivat, Joël, et al.. (2000). Explicit upper bounds for exponential sums over primes. Mathematics of Computation. 70(233). 431–447. 2 indexed citations

19.

Rivat, Joël, et al.. (1998). Computing 𝜓(𝑥). Mathematics of Computation. 67(224). 1691–1696. 3 indexed citations

20.

Baker, Roger C., G. Harman, & Joël Rivat. (1995). Primes of the Form [nc]. Journal of Number Theory. 50(2). 261–277. 27 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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