Zhang Wenpeng, Chen Zhuoy: A hybrid power mean of the two-term exponential sums and the reciprocal of the quartic Gauss sums , 191-198

Abstract:

The main purpose of this paper is using the elementary methods and the properties of the classical Gauss sums to study the computational problems of two kinds hybrid power mean of the two-term exponential sums and the reciprocal of quartic Gauss sums, and give two interesting computational formulae for them.

Key Words: The reciprocal of the quartic Gauss sums, two-term exponential sums, hybrid power mean, computational formula.

2010 Mathematics Subject Classification: Primary 11L05.