Alan Filipin

450 total citations
44 papers, 247 citations indexed

About

Alan Filipin is a scholar working on Algebra and Number Theory, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Alan Filipin has authored 44 papers receiving a total of 247 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Algebra and Number Theory, 19 papers in Geometry and Topology and 17 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Alan Filipin's work include Algebraic Geometry and Number Theory (17 papers), graph theory and CDMA systems (16 papers) and Analytic Number Theory Research (15 papers). Alan Filipin is often cited by papers focused on Algebraic Geometry and Number Theory (17 papers), graph theory and CDMA systems (16 papers) and Analytic Number Theory Research (15 papers). Alan Filipin collaborates with scholars based in Croatia, Japan and United States. Alan Filipin's co-authors include Yasutsugu Fujita, Alain Togbé, Clemens Fuchs, Andrej Dujella, Volker Ziegler, Robert F. Tichy, Christian Elsholtz, Max Mignotte, Abdelmejid Bayad and László Szalay and has published in prestigious journals such as The Quarterly Journal of Mathematics, Journal of Number Theory and Acta Arithmetica.

In The Last Decade

Alan Filipin

38 papers receiving 226 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Alan Filipin Croatia	10	167	148	102	68	43	44	247
Yasutsugu Fujita Japan	11	242 1.4×	153 1.0×	145 1.4×	47 0.7×	55 1.3×	56	306
Cristian Cobeli Romania	9	80 0.5×	159 1.1×	95 0.9×	63 0.9×	22 0.5×	37	222
Clemens Fuchs Austria	8	158 0.9×	140 0.9×	97 1.0×	36 0.5×	41 1.0×	37	224
В. А. Артамонов Russia	10	194 1.2×	193 1.3×	50 0.5×	57 0.8×	65 1.5×	77	300
Francesco Catino Italy	9	187 1.1×	187 1.3×	67 0.7×	74 1.1×	22 0.5×	38	238
A. Grishkov Brazil	8	217 1.3×	161 1.1×	37 0.4×	57 0.8×	22 0.5×	69	263
Gerald Cliff Canada	9	92 0.6×	86 0.6×	70 0.7×	115 1.7×	12 0.3×	34	201
Christophe Hohlweg Canada	9	181 1.1×	88 0.6×	45 0.4×	193 2.8×	13 0.3×	25	237
Refık Keskin Türkiye	9	65 0.4×	141 1.0×	78 0.8×	70 1.0×	183 4.3×	58	230
Kenneth A. Brown United Kingdom	14	325 1.9×	332 2.2×	158 1.5×	90 1.3×	39 0.9×	42	441

Countries citing papers authored by Alan Filipin

Since Specialization

Citations

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

Fields of papers citing papers by Alan Filipin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alan Filipin

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

1.

Filipin, Alan, et al.. (2023). Fibonacci and Lucas numbers as products of three repdgits in base g. Rendiconti del Circolo Matematico di Palermo Series 2. 72(8). 4003–4021. 4 indexed citations

2.

Filipin, Alan, et al.. (2023). Fibonacci or Lucas Numbers That Are Concatenations of Two g -Repdigits. The Fibonacci quarterly. 61(1). 68–83. 1 indexed citations

3.

Filipin, Alan, et al.. (2021). Padovan and Perrin Numbers Which are Products of Two Repdigits in Base b. Results in Mathematics. 76(4). 6 indexed citations

4.

Filipin, Alan, et al.. (2019). A polynomial variant of a problem of Diophantus and its consequences. Glasnik Matematicki. 54(1). 21–52. 1 indexed citations

5.

Filipin, Alan, et al.. (2018). Nonexistence of D(4)-quintuples. Journal of Number Theory. 194. 170–217. 5 indexed citations

6.

Filipin, Alan, et al.. (2016). Bounds for Diophantine quintuples II. Publicationes Mathematicae Debrecen. 88(1-2). 59–78. 7 indexed citations

7.

Filipin, Alan. (2015). The extendibility of D(4)-pair {;F_{;2k};, 5F_{;2k};};. The Fibonacci quarterly. 53. 124–129. 1 indexed citations

8.

Filipin, Alan. (2015). The Extendibility of D (4)-Pair { F _{2 k} , 5 F _{2 k} }. The Fibonacci quarterly. 53(2). 124–129.

9.

Filipin, Alan, Yasutsugu Fujita, & Alain Togbé. (2014). The extendibility of Diophantine pairs II: Examples. Journal of Number Theory. 145. 604–631. 13 indexed citations

10.

Filipin, Alan, Yasutsugu Fujita, & Alain Togbé. (2014). The extendibility of diophantine pairs I: the general case. Glasnik Matematicki. 49(1). 25–36. 13 indexed citations

11.

Filipin, Alan, et al.. (2013). The extendibility of $D(4)$-pairs. 18(2). 447–456. 4 indexed citations

12.

Filipin, Alan & Yasutsugu Fujita. (2012). The relative upper bound for the third element in a D(-1)-quadruple. Mathematical communications. 17(1). 13–19. 2 indexed citations

13.

Filipin, Alan. (2011). There are only finitely many $D(4)$-quintuples. Rocky Mountain Journal of Mathematics. 41(6). 7 indexed citations

14.

Filipin, Alan & Yasutsugu Fujita. (2010). The number of D(−1)-quadruples. Mathematical communications. 15(2). 387–391. 7 indexed citations

15.

Filipin, Alan, et al.. (2010). On the D (4)-Triple { F _{2 k} , F _{2 k +6} , 4 F _{2 k +4} }. The Fibonacci quarterly. 48(3). 219–227. 2 indexed citations

16.

Filipin, Alan. (2009). An irregular D(4)-quadruple cannot be extended to a quintuple. Acta Arithmetica. 136(2). 167–176. 12 indexed citations

17.

Filipin, Alan, Robert F. Tichy, & Volker Ziegler. (2008). The additive unit structure of pure quartic complex fields. Functiones et Approximatio Commentarii Mathematici. 39(1). 13 indexed citations

18.

Filipin, Alan. (2007). There does not exist a D(4)-sextuple. Journal of Number Theory. 128(6). 1555–1565. 15 indexed citations

19.

Dujella, Andrej, Alan Filipin, & Clemens Fuchs. (2007). Effective solution of the D(-1)-quadruple conjecture. Acta Arithmetica. 128(4). 319–338. 25 indexed citations

20.

Filipin, Alan. (2007). Extensions of Some Parametric Families ofD(16)-Triples. International Journal of Mathematics and Mathematical Sciences. 2007. 1–12. 1 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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