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二重指数和的边界及其应用
Bounds for Double Exponential Sums and Its Application

DOI: 10.12677/PM.2020.103024, PP. 167-171

Keywords: 指数和,指数函数,同余
Exponential Sum
, Exponential Functions, Congruence

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Abstract:

指数和在解析数论中扮演着非常重要的角色。在本文中,我们利用不等式以及同余等手段给出了二重指数和的边界,然后用该估计得到了有关于同余方程上的结果。
Exponential sums play a key role in analytic number theory. In this paper, we establish bounds for double exponential sums by means of inequality and congruence. We then apply our estimate to obtain results on congruence equation.

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