First and Second Moment Analysis of Dickson Polynomials of the Second Kind

Zhijian Wang

Journal of Mathematics, 2025, vol. 2025, 1-8

Abstract: For a given positive integer k and a polynomial fx over the finite field Fq, the k-th moment of fx is defined by ∑x∈Fqfkx. In this paper, we explicitly present formulas related to the first and second moments of Dickson polynomials of the second kind Enx,a. From these formulas, one can evaluate the sum ∑x∈FqEnx,a and ∑x∈FqEn2x,a for the given finite field Fq and the parameter a with arbitrary n.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2025/5569145.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2025/5569145.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5569145

DOI: 10.1155/jom/5569145

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().