Paul Voutier

875 total citations
26 papers, 499 citations indexed

About

Paul Voutier is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Paul Voutier has authored 26 papers receiving a total of 499 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Algebra and Number Theory, 11 papers in Geometry and Topology and 10 papers in Computational Theory and Mathematics. Recurrent topics in Paul Voutier's work include Algebraic Geometry and Number Theory (9 papers), Analytic Number Theory Research (9 papers) and Advanced Mathematical Identities (8 papers). Paul Voutier is often cited by papers focused on Algebraic Geometry and Number Theory (9 papers), Analytic Number Theory Research (9 papers) and Advanced Mathematical Identities (8 papers). Paul Voutier collaborates with scholars based in United Kingdom, France and Australia. Paul Voutier's co-authors include Guillaume Hanrot, Yonatan Bilu, Günter Lettl, Attila Pethő, Peter Walsh, Alain Togbé, Nikos Tzanakis and Maurice Mignotte and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Mathematical Proceedings of the Cambridge Philosophical Society.

In The Last Decade

Paul Voutier

19 papers receiving 410 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Paul Voutier United Kingdom	9	342	315	167	121	101	26	499
Pietro Corvaja Italy	13	419 1.2×	238 0.8×	174 1.0×	51 0.4×	126 1.2×	57	532
Gisbert Wüstholz Switzerland	13	423 1.2×	195 0.6×	223 1.3×	67 0.6×	168 1.7×	21	535
Yuri Bilu France	13	441 1.3×	225 0.7×	212 1.3×	37 0.3×	152 1.5×	44	532
N. Saradha India	11	378 1.1×	425 1.3×	191 1.1×	47 0.4×	62 0.6×	63	554
Alain Togbé United States	13	353 1.0×	335 1.1×	215 1.3×	287 2.4×	73 0.7×	144	594
Samir Siksek United Kingdom	14	457 1.3×	399 1.3×	225 1.3×	258 2.1×	126 1.2×	57	713
E M Matveev Russia	7	271 0.8×	369 1.2×	145 0.9×	278 2.3×	71 0.7×	11	550
A. Baker	4	192 0.6×	129 0.4×	104 0.6×	66 0.5×	93 0.9×	5	320
Pieter Moree Germany	11	250 0.7×	362 1.1×	108 0.6×	41 0.3×	61 0.6×	87	500
Peter Swinnerton‐Dyer United Kingdom	9	303 0.9×	366 1.2×	229 1.4×	50 0.4×	46 0.5×	27	602

Countries citing papers authored by Paul Voutier

Since Specialization

Citations

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

Fields of papers citing papers by Paul Voutier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Voutier

This figure shows the co-authorship network connecting the top 25 collaborators of Paul Voutier. A scholar is included among the top collaborators of Paul Voutier 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 Paul Voutier. Paul Voutier 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

Voutier, Paul. (2025). Bounds on the number of squares in recurrence sequences: y0 = b2 (I). Journal of Number Theory. 280. 246–270.

Tzanakis, Nikos & Paul Voutier. (2024). Near-squares in binary recurrence sequences. International Journal of Number Theory. 20(6). 1591–1620. 1 indexed citations

Mignotte, Maurice & Paul Voutier. (2023). A kit for linear forms in three logarithms. Mathematics of Computation. 93(348). 1903–1951.

Voutier, Paul, et al.. (2021). The greatest common valuation of ϕ and ψ n 2 at points on elliptic curves. Journal of Number Theory. 229. 16–38.

Voutier, Paul, et al.. (2019). Indecomposable integers in real quadratic fields. Journal of Number Theory. 212. 458–482. 6 indexed citations

Voutier, Paul. (2016). Families of periodic Jacobi–Perron algorithms for all period lengths. Journal of Number Theory. 168. 472–486. 4 indexed citations

Voutier, Paul. (2015). Thue's Fundamentaltheorem, II: Further refinements and examples. Journal of Number Theory. 160. 215–236. 2 indexed citations

Voutier, Paul. (2014). Modules with many non-associates and norm form equations with many families of solutions. Journal of Number Theory. 138. 20–36. 1 indexed citations

Voutier, Paul. (2010). Thue's Fundamentaltheorem, I: The general case. Acta Arithmetica. 143(2). 101–144. 5 indexed citations

10.

Voutier, Paul. (2009). A further note on ``On the equation aX⁴-bY²=2''. Acta Arithmetica. 137(3). 203–206. 1 indexed citations

11.

Voutier, Paul. (2008). Rational approximations to 2 3 and other algebraic numbers revisited. Journal de Théorie des Nombres de Bordeaux. 19(1). 263–288. 3 indexed citations

12.

Togbé, Alain, Paul Voutier, & Peter Walsh. (2005). Solving a family of Thue equations with an application to the equation x²-Dy⁴=1. Acta Arithmetica. 120(1). 39–58. 15 indexed citations

13.

Bilu, Yonatan, Guillaume Hanrot, & Paul Voutier. (2001). Existence of primitive divisors of Lucas and Lehmer numbers. Journal für die reine und angewandte Mathematik (Crelles Journal). 2001(539). 176 indexed citations

14.

Voutier, Paul. (1998). Primitive divisors of Lucas and Lehmer sequences, III. Mathematical Proceedings of the Cambridge Philosophical Society. 123(3). 407–419. 5 indexed citations

15.

Voutier, Paul, et al.. (1997). Complete Solution of the Diophantine EquationX2+1=dY4and a Related Family of Quartic Thue Equations. Journal of Number Theory. 62(1). 71–99. 39 indexed citations

16.

Voutier, Paul. (1996). An effective lower bound for the height of algebraic numbers. Acta Arithmetica. 74(1). 81–95. 74 indexed citations

17.

Voutier, Paul. (1996). Primitive divisors of Lucas and Lehmer sequences, II. Journal de Théorie des Nombres de Bordeaux. 8(2). 251–274. 7 indexed citations

18.

Voutier, Paul. (1995). Primitive divisors of Lucas and Lehmer sequences. Mathematics of Computation. 64(210). 869–888. 43 indexed citations

19.

Voutier, Paul. (1995). Primitive Divisors of Lucas and Lehmer Sequences. Mathematics of Computation. 64(210). 869–869. 49 indexed citations

20.

Voutier, Paul. (1995). An Upper Bound for the Size of Integral Solutions to Ym=ƒ(X). Journal of Number Theory. 53(2). 247–271. 23 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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