Michael Filaseta

853 total citations
70 papers, 413 citations indexed

About

Michael Filaseta is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Michael Filaseta has authored 70 papers receiving a total of 413 indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Algebra and Number Theory, 25 papers in Geometry and Topology and 17 papers in Computational Theory and Mathematics. Recurrent topics in Michael Filaseta's work include Analytic Number Theory Research (35 papers), Advanced Mathematical Identities (22 papers) and Meromorphic and Entire Functions (11 papers). Michael Filaseta is often cited by papers focused on Analytic Number Theory Research (35 papers), Advanced Mathematical Identities (22 papers) and Meromorphic and Entire Functions (11 papers). Michael Filaseta collaborates with scholars based in United States, Russia and India. Michael Filaseta's co-authors include T. Y. Lam, Sergeĭ Konyagin, Kevin Ford, Andrzej Schinzel, John Brillhart, Andrew Odlyzko, Richard L. Williams, Carl Pomerance, Gang Yu and Manton M. Matthews and has published in prestigious journals such as Mathematics of Computation, American Mathematical Monthly and Acta Mathematica.

In The Last Decade

Michael Filaseta

63 papers receiving 370 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael Filaseta United States 13 264 153 115 110 97 70 413
Christopher Pinner United States 11 151 0.6× 110 0.7× 92 0.8× 78 0.7× 60 0.6× 38 306
Kevin Ford United States 12 422 1.6× 203 1.3× 205 1.8× 79 0.7× 68 0.7× 60 519
William D. Banks United States 14 413 1.6× 195 1.3× 196 1.7× 147 1.3× 44 0.5× 90 531
M. Ram Murty Canada 12 292 1.1× 334 2.2× 104 0.9× 99 0.9× 40 0.4× 41 483
Pieter Moree Germany 11 362 1.4× 250 1.6× 118 1.0× 131 1.2× 44 0.5× 87 500
John Loxton Australia 14 191 0.7× 124 0.8× 83 0.7× 85 0.8× 90 0.9× 47 444
Jean‐Marc Deshouillers France 12 414 1.6× 222 1.5× 168 1.5× 53 0.5× 92 0.9× 67 576
Douglas Hensley United States 11 137 0.5× 139 0.9× 78 0.7× 47 0.4× 131 1.4× 34 372
Jean-Louis Nicolas France 12 303 1.1× 125 0.8× 172 1.5× 69 0.6× 23 0.2× 50 411
Grigori Kolesnik United States 9 378 1.4× 163 1.1× 158 1.4× 50 0.5× 87 0.9× 21 468

Countries citing papers authored by Michael Filaseta

Since Specialization
Citations

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

Fields of papers citing papers by Michael Filaseta

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Filaseta

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Filaseta. A scholar is included among the top collaborators of Michael Filaseta 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 Michael Filaseta. Michael Filaseta 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.
Filaseta, Michael, et al.. (2023). On nth order Euler polynomials of degree n that are Eisenstein. Indagationes Mathematicae. 35(1). 76–86. 1 indexed citations
2.
Filaseta, Michael. (2023). On the factorization of lacunary polynomials. Acta Arithmetica. 210.
3.
Andrews, George E., Michael Filaseta, & Ae Ja Yee. (2023). Analytic and Combinatorial Number Theory: The Legacy of Ramanujan.
4.
Filaseta, Michael, et al.. (2016). Newton polygons and the Prouhet–Tarry–Escott problem. Journal of Number Theory. 174. 384–400. 3 indexed citations
5.
Filaseta, Michael & Samuel Gross. (2013). 49598666989151226098104244512918. Journal of Number Theory. 137. 16–49. 1 indexed citations
6.
Filaseta, Michael, et al.. (2012). Classifying polynomials with reducible nonreciprocal parts and the factorization of values of polynomials.
7.
Filaseta, Michael, et al.. (2012). Laguerre polynomials with Galois group Am for each m. Journal of Number Theory. 132(4). 776–805. 13 indexed citations
8.
Filaseta, Michael, Florian Luca, Pantelimon Stănică, & Robert G. Underwood. (2007). Galois groups of polynomials arising from circulant matrices. Journal of Number Theory. 128(1). 59–70.
9.
Filaseta, Michael, Kevin Ford, Sergeĭ Konyagin, Carl Pomerance, & Gang Yu. (2006). Sieving by large integers and covering systems of congruences. Journal of the American Mathematical Society. 20(2). 495–517. 19 indexed citations
10.
Filaseta, Michael & Richard L. Williams. (2003). On the irreducibility of a certain class of Laguerre polynomials. Journal of Number Theory. 100(2). 229–250. 10 indexed citations
11.
Filaseta, Michael, et al.. (1999). An extension of a theorem by Ljunggren. MATHEMATICA SCANDINAVICA. 84(1). 5–5. 4 indexed citations
12.
Filaseta, Michael. (1994). Powerfree Values of Binary Forms. Journal of Number Theory. 49(2). 250–268. 11 indexed citations
13.
Filaseta, Michael, et al.. (1993). A result on the digits of aⁿ. Acta Arithmetica. 64(4). 331–339. 4 indexed citations
14.
Filaseta, Michael. (1992). Squarefree values of polynomials. Acta Arithmetica. 60(3). 213–231. 2 indexed citations
15.
Filaseta, Michael. (1990). Short interval results for squarefree numbers. Journal of Number Theory. 35(2). 128–149. 4 indexed citations
16.
Filaseta, Michael, et al.. (1989). Sets Which Contain a Quadratic Residue Modulo p for Almost All p. Okayama University Scientific Achievement Repository (Okayama University). 31(1). 1–8. 6 indexed citations
17.
Filaseta, Michael. (1988). An elementary approach to short interval results for k-free numbers. Journal of Number Theory. 30(2). 208–225. 4 indexed citations
18.
Filaseta, Michael. (1987). The irreducibility of almost all Bessel Polynomials. Journal of Number Theory. 27(1). 22–32. 4 indexed citations
19.
Filaseta, Michael. (1986). Newton’s Method and Simple Continued Fractions. ˜The œFibonacci quarterly. 24(1). 41–45. 3 indexed citations
20.
Brillhart, John, Michael Filaseta, & Andrew Odlyzko. (1981). On an Irreducibility Theorem of A. Cohn. Canadian Journal of Mathematics. 33(5). 1055–1059. 17 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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