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A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums
Author(s) -
Qi Lan,
Xingxing Lv
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/5515014
Subject(s) - quartic function , gauss sum , exponential function , mathematics , term (time) , gauss , exponential sum , order (exchange) , quadratic gauss sum , recurrence relation , exponential formula , sums of powers , double exponential function , mathematical analysis , pure mathematics , discrete mathematics , physics , finance , quantum mechanics , economics
The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind hybrid power mean involving the quartic Gauss sums and two-term exponential sums and give an interesting four-order linear recurrence formula for it. As an application, we can obtain all values of this kind hybrid power mean with mathematica software.

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