On the recursive properties of one kind hybrid power mean involving two-term exponential sums and Gauss sums

Open Mathematics

Shen Shimeng¹ 

[1] School of Mathematics, Northwest University, Xi’an, Shaanxi, China;

关键词: the quartic gauss sums;    two-term exponential sums;    hybrid power mean;    the fourth-order linear recurrence formula;    11l05;    11l07;   

DOI  :  10.1515/math-2018-0081

来源: DOAJ

【 摘 要 】

The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some interesting fourth-order linear recurrence formulae for this problem. As an application of our result, we can also obtain an exact computational formula for one kind congruence equation mod p, an odd prime.

【 授权许可】

Unknown