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

Michael Filaseta

ANT

GT

DMC

AI

AM

Christopher Pinner United States

Kevin Ford United States

William D. Banks United States

M. Ram Murty Canada

Pieter Moree Germany

John Loxton Australia

Jean‐Marc Deshouillers France

Douglas Hensley United States

Jean-Louis Nicolas France

Grigori Kolesnik United States

Christopher Pinner United States

Michael Filaseta

151 ×0.6

ANT

110 ×0.7

GT

92 ×0.8

DMC

78 ×0.7

AI

60 ×0.6

AM

Citations per year, relative to Michael Filaseta Michael Filaseta (= 1×) peers Christopher Pinner

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

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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 Fibonacci 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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