Generalizations of selfreciprocal polynomials
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 Sandro Mattarei (Lincoln)
 Wednesday 24 May 2017, 16:3017:30
 MR12.
If you have a question about this talk, please contact Christopher Brookes.
A univariate polynomial with nonconstant term is called selfreciprocal if its sequence of coefficients reads the same backwards. A formula is known for the number of monic irreducible selfreciprocal polynomials of a given degree over a finite field.
Every selfreciprocal polynomial 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 product of the nth power of h(x) and a polynomial of degree n in the rational expression g(x)/h(x).
This talk is part of the Algebra and Representation Theory Seminar series.
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