In this paper, we use the analytic methods, the properties of the fourth-order characters, and the estimate for character sums to study the computational problems of one kind of special quartic residues modulo p, and give an exact calculation formula and asymptotic formula for their counting functions.

中文翻译：

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四元残基及其新分布特性

本文利用解析方法，四阶字符的性质以及字符和的估计值，研究一种特殊的对数p的四次余数的计算问题，并给出了精确的计算公式和渐近公式。他们的计数功能。