Abstract
Given a finite field Fq, a positive integer n and an Fq-affine space A⊆Fqn, we show that a result of Katz provides a new bound on the sum ∑a∈Aχ(a), where χ is a multiplicative character of Fqn. The paper is focused on the applicability of this estimate to results regarding the existence of special primitive elements in Fqn. In particular, we obtain substantial improvements on previous works.
Sign-in/Register to access full text options 
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.
