Abstract
Let Fq be the finite field with q elements. We consider the number of pairs (f1,f2) with f1f2 being a cube, where fi∈Fq[T] and degfi=n for i=1,2. By contour integration, we obtain an asymptotic formula in terms of either n or q. This is a polynomial analogue of a result for integers due to de la Bretèche, Kurlberg and Shparlinski [2].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
