The number of solutions of cubic diagonal equations over finite fields

Let $ p $ be a prime, $ k $ be a positive integer, $ q = p^k $, and $ \mathbb{F}_q $ be the finite field with $ q $ elements. Let $ \mathbb{F}_q^* $ be the multiplicative group of $ \mathbb{F}_{q} $, that is $ \mathbb{F}_q^* = \mathbb{F}_{q}\setminus\{0\} $. In this paper, explicit formulae for the...

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Bibliographic Details
Main Authors: Shuangnian Hu, Rongquan Feng
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023322?viewType=HTML