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

Autor: Shen Shimeng
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Open Mathematics, Vol 16, Iss 1, Pp 955-966 (2018)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2018-0081
Popis: 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.
Databáze: Directory of Open Access Journals