Do NOT click
on the photo!!

Who Am I?

Short Vita

Publications

Recent Preprints
Publication List

Course Links

Math 141: Calc I
Math 174: Discrete
Math 241: Calc III
Math 532: Md Gm
Math 555: Anly II
Math 574: Discrete
Math 780: Elem NT
Math 782: Anly NT
Math 784: Algb NT
Math 785: Tran NT
Math 788F: Irreduc
Math 788M: Compt

Interactive Pgs

Newton Polygons
Irred of 0-1 Polyns
Cyclot Factors Page
Rubik's Cube

Links Elswhere

USC Number Thry
Seminar Notes
Math Family Tree
Department Page
Faculty Research
USC Home Page
My Bookmarks
Math Competitions
D. Richman Page
Nmbr Thry Comps
SERMON 1999
Math Jokes

Photographs

The Department
Erdos Photos
My Family

               


Home Page of Michael Filaseta


95.8% of statistics used in arguments are made up  


Information on this Side of the Page:

  • Research Interests
  • Preprints
  • Contact Info
  • Click for Columbia,
South Carolina Weather Forecast

    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 the irreducibility of a certain class of Laguerre polynomials , with Richard Williams.
    Preprint: [ps] [pdf] Abstract: [gif]


    [2] Irreducibility testing of lacunary 0,1-polynomials , with Douglas Meade.
    Preprint: [ps] [pdf] Abstract: [gif]

    [3] On the irreducibility of the generalized Laguerre polynomials , with Tsit-Yuen Lam.
    Preprint: [ps] [pdf] Abstract: [gif]

    [4] On testing the divisibility of lacunary polynomials by cyclotomic polynomials with Andrzej Schinzel.
    Preprint: [ps] [pdf] Abstract: [gif]

    [5] On coverings of the integers associated with an irreducibility theorem of A. Schinzel .
    Preprint: [ps] [pdf] Abstract: [gif]

    [6] The irreducibility of the Bessel polynomials, with Ognian Trifonov.
    Preprint: [ps] [pdf] Abstract: [gif]

    Information For Contacting Me:

    E-mail:
    filaseta@math.sc.edu
    Mail:
    Michael Filaseta
    Department of Mathematics
    University of South Carolina
    Columbia, SC 29208
    USA
    Telephone:
    (803) 777-6589
    FAX:
    (803) 777-3783
    Appointments:
    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 08/31/01.
    Please send comments to filaseta@math.sc.edu
    http://www.math.sc.edu/~filaseta/