Yuri Bilu

1.2k total citations
44 papers, 532 citations indexed

About

Yuri Bilu is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Yuri Bilu has authored 44 papers receiving a total of 532 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 17 papers in Algebra and Number Theory and 13 papers in Mathematical Physics. Recurrent topics in Yuri Bilu's work include Algebraic Geometry and Number Theory (22 papers), Analytic Number Theory Research (16 papers) and Advanced Algebra and Geometry (8 papers). Yuri Bilu is often cited by papers focused on Algebraic Geometry and Number Theory (22 papers), Analytic Number Theory Research (16 papers) and Advanced Algebra and Geometry (8 papers). Yuri Bilu collaborates with scholars based in France, Switzerland and Germany. Yuri Bilu's co-authors include Guillaume Hanrot, Robert F. Tichy, Daniel Berend, Florian Luca, Vsevolod F. Lev, Imre Z. Ruzsa, Kálmán Győry, István Gaál, Umberto Zannier and David Masser and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Yuri Bilu

42 papers receiving 465 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Yuri Bilu France 13 441 225 212 152 109 44 532
Pietro Corvaja Italy 13 419 1.0× 238 1.1× 174 0.8× 126 0.8× 72 0.7× 57 532
Gisbert Wüstholz Switzerland 13 423 1.0× 195 0.9× 223 1.1× 168 1.1× 62 0.6× 21 535
Marc Hindry France 7 476 1.1× 170 0.8× 212 1.0× 152 1.0× 58 0.5× 13 534
Paul Voutier United Kingdom 9 342 0.8× 315 1.4× 167 0.8× 101 0.7× 59 0.5× 26 499
Alan Adolphson United States 12 401 0.9× 324 1.4× 220 1.0× 134 0.9× 88 0.8× 48 543
N. Saradha India 11 378 0.9× 425 1.9× 191 0.9× 62 0.4× 122 1.1× 63 554
Antonio Campillo Spain 14 488 1.1× 271 1.2× 169 0.8× 252 1.7× 81 0.7× 67 611
Patrice Philippon France 14 390 0.9× 203 0.9× 175 0.8× 197 1.3× 42 0.4× 45 493
Dino Lorenzini United States 14 436 1.0× 134 0.6× 191 0.9× 213 1.4× 113 1.0× 35 512
M. Ram Murty Canada 12 334 0.8× 292 1.3× 131 0.6× 50 0.3× 104 1.0× 41 483

Countries citing papers authored by Yuri Bilu

Since Specialization
Citations

This map shows the geographic impact of Yuri Bilu'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 Yuri Bilu with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Yuri Bilu more than expected).

Fields of papers citing papers by Yuri Bilu

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Yuri Bilu. 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 Yuri Bilu. The network helps show where Yuri Bilu may publish in the future.

Co-authorship network of co-authors of Yuri Bilu

This figure shows the co-authorship network connecting the top 25 collaborators of Yuri Bilu. A scholar is included among the top collaborators of Yuri Bilu 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 Yuri Bilu. Yuri Bilu is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bilu, Yuri, et al.. (2023). On a non-Archimedean analogue of a question of Atkin and Serre. Mathematische Annalen. 389(2). 1323–1350. 1 indexed citations
2.
Bilu, Yuri, et al.. (2023). On the 𝑝-adic zeros of the Tribonacci sequence. Mathematics of Computation. 93(347). 1333–1353. 1 indexed citations
3.
Bilu, Yuri, et al.. (2021). Computing integral points on Xns+(p). Algebra & Number Theory. 15(3). 569–608.
4.
Bilu, Yuri, Diego Marques, & Alain Togbé. (2019). Generalized Cullen numbers in linear recurrence sequences. Journal of Number Theory. 202. 412–425. 5 indexed citations
5.
Bilu, Yuri & Florian Luca. (2017). Number fields in fibers: the geometrically abelian case with rational critical values. Periodica Mathematica Hungarica. 75(2). 315–321.
6.
Bilu, Yuri, et al.. (2016). On a divisibility relation for Lucas sequences. Journal of Number Theory. 163. 1–18. 2 indexed citations
7.
Bilu, Yuri, et al.. (2015). Rational products of singular moduli. Journal of Number Theory. 158. 397–410. 5 indexed citations
8.
Bilu, Yuri, Yann Bugeaud, & Maurice Mignotte. (2014). The Problem of Catalan. HAL (Le Centre pour la Communication Scientifique Directe). 5 indexed citations
9.
Bilu, Yuri, et al.. (2013). Rational points on X 0 + ( p r ) . Annales de l’institut Fourier. 63(3). 957–984. 23 indexed citations
10.
Bilu, Yuri, et al.. (2013). On the exponential local-global principle. Acta Arithmetica. 159(2). 101–111. 7 indexed citations
11.
Bilu, Yuri, et al.. (2013). Quantitative Chevalley–Weil theorem for curves. Monatshefte für Mathematik. 171(1). 1–32. 4 indexed citations
12.
Bilu, Yuri. (2008). Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu). Journal de Théorie des Nombres de Bordeaux. 17(1). 69–85. 1 indexed citations
13.
Bilu, Yuri & Yann Bugeaud. (2000). Démonstration du théorème de Baker-Feldman via les formes linéaires en deux logarithmes. Journal de Théorie des Nombres de Bordeaux. 12(1). 13–23. 4 indexed citations
14.
Bilu, Yuri & Guillaume Hanrot. (1998). Solving superelliptic Diophantine equations by Baker‘s method. Compositio Mathematica. 112(3). 273–312. 20 indexed citations
15.
Bilu, Yuri, Vsevolod F. Lev, & Imre Z. Ruzsa. (1998). Rectification Principles in Additive Number Theory. Discrete & Computational Geometry. 19(3). 343–353. 27 indexed citations
16.
Bilu, Yuri. (1997). Quantitative Siegel's theorem for Galois coverings. Compositio Mathematica. 106(2). 125–158. 8 indexed citations
17.
Bilu, Yuri. (1997). Addition of Sets of Integers of Positive Density. Journal of Number Theory. 64(2). 233–275. 12 indexed citations
18.
Bilu, Yuri & Guillaume Hanrot. (1996). Solving Thue Equations of High Degree. Journal of Number Theory. 60(2). 373–392. 65 indexed citations
19.
Bilu, Yuri. (1996). A note on universal Hilbert sets.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1996(479). 195–204. 4 indexed citations
20.
Bilu, Yuri. (1995). Effective analysis of integral points on algebraic curves. Israel Journal of Mathematics. 90(1-3). 235–252. 28 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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