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.