 |
95.8% of statistics used in arguments are made up | |
| |
95.8% of statistics used in arguments are made up | |
| Research Interests | |
Preprints | |
Contact Info |
|
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] |
| filaseta@mailbox.sc.edu | |
| Michael Filaseta Department of Mathematics University of South Carolina Columbia, SC 29208 USA |
|
| (803) 777-7464 (NEW) | |
| (803) 777-3783 | |
| Weekly Schedule |
 |
Last modified on 03/04/12. Please send comments to filaseta@mailbox.sc.edu |