On the high-th mean of one special character sums modulo a prime
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\left(n\right) = 1+\sum_{a = 1}^{p-1}\left(\frac{a^2+n\bar{a}^2}{p}\right) $ and about the mean value of $ G(n) $. This is a further exploration of Yua...
Main Authors: | Yan Ma, Di Han |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-09-01
|
Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231316?viewType=HTML |
Similar Items
-
One kind of character sum modulo a prime p and its recurrence formula
by: Wenpeng Zhang, et al.
Published: (2019-04-01) -
Pythagorean triples and quadratic residues modulo an odd prime
by: Jiayuan Hu, et al.
Published: (2022-01-01) -
The Mean Values of Character Sums and Their Applications
by: Jiafan Zhang, et al.
Published: (2021-02-01) -
The hybrid power mean of some special character sums of polynomials and two-term exponential sums modulo p
by: Wenpeng Zhang, et al.
Published: (2021-07-01) -
On the Quartic Residues and Their New Distribution Properties
by: Juanli Su, et al.
Published: (2020-08-01)