95.8% of statistics used in arguments are made up        

Information on this Side of the Page:

Research Interests
Contact Info

Research Interests:

Number Theory, including Analytic, Classical Algebraic, Combinatorial, Computational, Elementary, and Transcedence topics. I have particular interests in results associated with lattice points close to (or on) a curve or surface, the distribution of special sequences of integers in short intervals, applications of Pade approximations to Number Theory, the irreducibility of polynomials over the rationals, computations with sparse or lacunary polynomials, and covering systems of the integers.

Preprints (for published papers see "Publications" at left):

[1] Newton polygons and the Prouhet-Tarry-Escott problem , with Maria Markovich, submitted.

Preprint: [pdf] Abstract: [gif]

[2] Further irreducibility criteria for polynomials with non-negative coefficients , with Morgan Cole and Scott Dunn, Acta Arith., to appear.

Preprint: [pdf] Abstract: [gif]

[3] On the irreducibility of a polynomial associated with the Strong Factorial Conjecture , with Brady Rock, Colloquium Mathematicum, to appear.

Preprint: [pdf] Abstract: [gif]

Information For Contacting Me:

Michael Filaseta
Department of Mathematics
University of South Carolina
Columbia, SC 29208
(803) 777-7464 (NEW)
(803) 777-3783
Weekly Schedule

DISCLAIMER: "The views and opinions expressed in this page are strictly those of the page author. The contents of the page have not been reviewed or approved by the University of South Carolina."
DISCLAIMER OF DISCLAIMER: "The views and opinions expressed in the disclaimer above are strictly those of another entity different from the author of this page. Its presence on this page does not imply approval of its contents by the page author. The page author has however provided a link to a review of the above disclaimer."
Last modified on 03/04/12.
Please send comments to filaseta@mailbox.sc.edu