2009 Number Theory Seminar - 11
- Date: 04/02/2009
Lecturer(s):
Shanta Laishram (University of Waterloo)
Location:
University of British Columbia
Topic:
Irreducibility of generalised Hermite-Laguerre polynomials
Description:
Let a, a_0, a_1, ..., a_m be integers with a nonnegative, and define
f_a(x) = sum_{j=0}^m a_j x^j / (j+a)!. Schur (in 1929) proved that
f_0(x) with |a_0| = |a_n| = 1 is irreducible for all m. Schur's result
has been generalized by many authors by using p-adic methods of Coleman
and Filaseta. In this talk, I will give a survey of the some of these
results and prove some results on the irreducibility of generalised
Hermite-Laguerre polynomials by combining p-adic methods with the
greatest prime factor of the product of terms of an arithmetic
progression.
Schedule:
3:00pm-3:50pm, WMAX 216
Sponsor:
