University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Generalizations of self-reciprocal polynomials

Generalizations of self-reciprocal polynomials

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  • UserSandro Mattarei (Lincoln)
  • ClockWednesday 24 May 2017, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

A univariate polynomial with non-constant term is called self-reciprocal if its sequence of coefficients reads the same backwards. A formula is known for the number of monic irreducible self-reciprocal polynomials of a given degree over a finite field. Every self-reciprocal 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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