@article{Ma2023, 
author = {Yan Ma and Di Han},
title = {On the high-th mean of one special character sums modulo a prime},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {25804-25814},
keywords = {quadratic character, quartic character, basic method, calculating formula, special character sums},
url = {https://www.sciopen.com/article/10.3934/math.20231316},
doi = {10.3934/math.20231316},
abstract = {Using the elementary method of the classical Gauss sums and the properties of character sums, we study a linear recurrence formula about the form    G      (    n    )    =  1  +      ∑          a      =      1              p      −      1            (                            a          2                +        n                                            a              ¯                                2                    p        )   and about the mean value of    G  (  n  ). This is a further exploration of Yuan and Zhang's research in 2022, which help us to better understand the character sums wide range application.}
}