A hybrid mean value involving two-term exponential sums and polynomial character sums

作者：Di Han^*

来源：Czechoslovak Mathematical Journal, 2014, 64(1): 53-62.

DOI：10.1007/s10587-014-0082-0

• Dirichlet character of polynomials
• two-term exponential sums
• hybrid mean value
• asymptotic formula

Let q >= 3 be a positive integer. For any integers m and n, the two-term exponential sum C(m, n, k; q) is defined by , where . In this paper, we use the properties of Gauss sums and the estimate for Dirichlet character of polynomials to study the mean value problem involving two-term exponential sums and Dirichlet character of polynomials, and give an interesting asymptotic formula for it.

• 出版日期2014-3
• 单位西北大学