Konstantinos Drakakis (University College, Dublin)

will speak on

A family of polynomials related to the cross-correlation of Golomb Costas arrays

Time: 4:00PM
Date: Mon 5th October 2009
Location: Mathematical Sciences Seminar Room [map]

Abstract: I will show how the cross-correlation of Golomb Costas arrays leads naturally to the algebraic problem of the determination of the number of roots of a family of polynomials over a finite field, and I will mention several partial results and several further conjectures. I will then focus on a specific polynomial of this family, and study its roots over the field of complex numbers, where I will again mention several partial results and several further conjectures. This is a joint work with Rod Gow and Danny Lynch.

(This talk is part of the Algebra and Number Theory series.)

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