Florian Luca

5.2k total citations
541 papers, 2.6k citations indexed

About

Florian Luca is a scholar working on Algebra and Number Theory, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Florian Luca has authored 541 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 365 papers in Algebra and Number Theory, 195 papers in Geometry and Topology and 186 papers in Statistical and Nonlinear Physics. Recurrent topics in Florian Luca's work include Analytic Number Theory Research (281 papers), Advanced Mathematical Identities (211 papers) and Advanced Mathematical Theories and Applications (182 papers). Florian Luca is often cited by papers focused on Analytic Number Theory Research (281 papers), Advanced Mathematical Identities (211 papers) and Advanced Mathematical Theories and Applications (182 papers). Florian Luca collaborates with scholars based in Mexico, South Africa and United States. Florian Luca's co-authors include Jhon J. Bravo, Igor E. Shparlinski, Alain Togbé, Jean–Marie De Koninck, Carl Pomerance, Yann Bugeaud, László Szalay, Samir Siksek, Pantelimon Stănică and Moubariz Z. Garaev and has published in prestigious journals such as IEEE Transactions on Information Theory, Mathematics of Computation and Transactions of the American Mathematical Society.

In The Last Decade

Florian Luca

447 papers receiving 2.3k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Florian Luca Mexico	21	1.8k	1.2k	970	853	639	541	2.6k
Yann Bugeaud France	22	739 0.4×	389 0.3×	759 0.8×	306 0.4×	781 1.2×	132	1.7k
Maurice Mignotte France	19	601 0.3×	379 0.3×	664 0.7×	263 0.3×	320 0.5×	99	1.4k
T. N. Shorey India	15	669 0.4×	180 0.2×	572 0.6×	204 0.2×	300 0.5×	101	1.0k
Andrew Granville Canada	20	1.0k 0.6×	68 0.1×	624 0.6×	577 0.7×	338 0.5×	124	1.5k
Hugh L. Montgomery United States	21	1.8k 1.0×	85 0.1×	870 0.9×	710 0.8×	769 1.2×	66	2.4k
A. Baker United Kingdom	23	842 0.5×	277 0.2×	1.0k 1.0×	181 0.2×	731 1.1×	42	2.0k
George M. Bergman United States	21	1.5k 0.8×	147 0.1×	1.7k 1.8×	240 0.3×	762 1.2×	94	2.4k
R. Tijdeman Netherlands	19	499 0.3×	110 0.1×	545 0.6×	167 0.2×	306 0.5×	99	1.2k
L. N. Vaserstein United States	21	807 0.4×	67 0.1×	768 0.8×	644 0.8×	804 1.3×	77	1.5k
Kálmán Győry Hungary	18	655 0.4×	79 0.1×	855 0.9×	166 0.2×	404 0.6×	96	1.2k

Countries citing papers authored by Florian Luca

Since Specialization

Citations

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

Fields of papers citing papers by Florian Luca

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Florian Luca

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

Boni, Raffaele, et al.. (2025). Repeatability of Selected Parameters Related to Stallion Sperm Quality and Cryotolerance. Animals. 15(19). 2805–2805.

Luca, Florian, et al.. (2025). On $k$-generalized Fibonacci numbers which are perfect powers of Lucas numbers. Publicationes Mathematicae Debrecen. 107(3-4). 499–515.

Luca, Florian, et al.. (2024). Multiplicative independence in the sequence of k -generalized Lucas numbers. Indagationes Mathematicae. 36(3). 819–837. 1 indexed citations

Luca, Florian, et al.. (2023). On Y-coordinates of Pell equations which are Fibonacci numbers. Boletín de la Sociedad Matemática Mexicana. 29(2).

Luca, Florian, et al.. (2022). On the solutions of the Diophantine equation Fn±a(10m−1)9=k!. Journal of Number Theory. 240. 593–610. 5 indexed citations

Luca, Florian & Francesco Pappalardi. (2019). On ternary Egyptian fractions with prime denominator. Iris (Roma Tre University). 2 indexed citations

Luca, Florian, et al.. (2019). Product of Consecutive Tribonacci Numbers With Only One Distinct Digit.. 22. 1 indexed citations

Luca, Florian, et al.. (2018). Repdigits as sums of four Pell numbers. Boletín de la Sociedad Matemática Mexicana. 25(2). 249–266. 10 indexed citations

Luca, Florian, et al.. (2018). X-coordinates of Pell equations which are Lucas numbers. Boletín de la Sociedad Matemática Mexicana. 25(3). 481–493. 6 indexed citations

10.

Luca, Florian, et al.. (2018). x-Coordinates of Pell equations which are Tribonacci numbers II. Periodica Mathematica Hungarica. 79(2). 157–167. 3 indexed citations

11.

Luca, Florian & László Tóth. (2017). The $r$th moment of the divisor function: an elementary approach. MPG.PuRe (Max Planck Society). 20. 3 indexed citations

12.

Garcia, Stephan Ramon & Florian Luca. (2016). Quotients of Fibonacci Numbers. American Mathematical Monthly. 123(10). 1039–1044. 5 indexed citations

13.

Banks, William D., et al.. (2014). Sierpiński and Carmichael numbers. Transactions of the American Mathematical Society. 367(1). 355–376. 1 indexed citations

14.

Luca, Florian, et al.. (2014). k-generalized Fibonacci numbers of the form 1+2^{n_1}+4^{n_2}+\cdots+(2^{k})^{n_k}. Mathematical communications. 19(2). 321–332. 2 indexed citations

15.

Ford, Kevin, Florian Luca, & Pieter Moree. (2013). Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields. Mathematics of Computation. 83(287). 1447–1476. 11 indexed citations

16.

Fouvry, Étienne, Florian Luca, Francesco Pappalardi, & Igor E. Shparlinski. (2011). Counting dihedral and quaternionic extensions. Transactions of the American Mathematical Society. 363(6). 3233–3253. 1 indexed citations

17.

Koninck, Jean–Marie De, Andrew Granville, & Florian Luca. (2008). Anatomy of Integers. UWSpace (University of Waterloo). 8 indexed citations

18.

Luca, Florian, et al.. (2008). On positive integers n such that Phi(1)+Phi(2)+... +Phi(n) is a square. 14(1). 1–6. 1 indexed citations

19.

Gaál, István, et al.. (2003). A Remark on Prime Divisors of Lengths of Sides of Heron Triangles. Experimental Mathematics. 12(3). 303–310. 3 indexed citations

20.

Luca, Florian. (2002). The Diophantine equation P(x) = n! and a result of M. Overholt. Glasnik Matematicki. 37(2). 269–273. 9 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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