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SUMMARY:Generalizations of self-reciprocal polynomials - Sandro Mattarei (
 Lincoln)
DTSTART:20170524T153000Z
DTEND:20170524T163000Z
UID:TALK72648@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:A univariate polynomial with non-constant term is called self-
 reciprocal if its sequence of coefficients reads the same backwards. A for
 mula is known for the number of monic irreducible self-reciprocal polynomi
 als of a given degree over a finite field.\nEvery self-reciprocal polynomi
 al of even degree 2n over a field can be written as the product of the nth
  power of x  and a polynomial of degree n in x + 1/x. We study the problem
  of counting the irreducible polynomials over a finite field that are a pr
 oduct of the nth power of h(x)  and a polynomial of degree n in the ration
 al expression g(x)/h(x).
LOCATION:MR12
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