|
THE CONCISE
|
Home Page of Michael Filaseta
| 95.8% of statistics used in arguments are made up |
|
Information on this Side of the Page:
Research Interests:
Number Theory, including Analytic, Classical Algebraic, Combinatorial, Computational, and Elementary 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, and the irreducibility of polynomials over the rationals.
Preprints (for published papers see "Publications" at left):
[1]
On an irreducibility theorem of A. Schinzel associated with coverings
of the integers,
with Kevin Ford and Sergei Konyagin,
Illinois Journal of Math., to appear.
Preprint:
[ps]
[pdf]
Abstract:
[gif]
[2]
Classes of polynomials having only one non-cyclotomic irreducible factor,
with Alexander Borisov, Tsit-Yuen Lam, and Ognian
Trifonov, Acta Arith., to appear.
Preprint:
[ps]
[pdf]
Abstract:
[gif]
[3]
On testing the divisibility of lacunary polynomials by cyclotomic polynomials,
with Andrzej Schinzel.
Preprint:
[ps]
[pdf]
Abstract:
[gif]
[4]
The irreducibility of the Bessel polynomials,
with Ognian Trifonov.
Preprint:
[ps]
[pdf]
Abstract:
[gif]
[5]
On the factorization of polynomials with small Euclidean norm,
Proceedings of the International Number Theory Conference in honor of
Andrzej Schinzel, to appear.
Preprint:
[ps]
[pdf]
Abstract:
[gif]
[6]
An extension of a theorem of Ljunggren,
with Ikhalfani Solan,
Math. Scand., to appear.
Preprint:
[ps]
[pdf]
Abstract:
[gif]
Information For Contacting Me:
filaseta@math.sc.edu
Michael Filaseta
Department of Mathematics
University of South Carolina
Columbia, SC 29208
USA
(803) 777-6589
(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."
http://www.math.sc.edu/~filaseta/
Last modified on 05/12/99.
Please send comments to
filaseta@math.sc.edu