On the high-th power mean of one kind general Kloosterman sums.

Autor: Zhang, Wenpeng, Hu, Jiayuan
Zdroj: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Mar2019, Vol. 113 Issue 1, p181-188, 8p
Abstrakt: The main purpose of this paper is using the analytic methods and a relation between the two-term cubic exponential sums and general Kloosterman sums to study the computational problem of one kind high-th power mean of general Kloosterman sums for some special non-principal character χmodp, and give four exact computational formulae for them. As applications of these results, we obtained four interesting asymptotic formulae for the 6th, 8th, 10th and 12th power mean of general Kloosterman sums with a special character χmodp. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index