On the Quartic Residues and Their New Distribution Properties

Juanli Su and Jiafan Zhang
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Juanli Su: Department of Arts and Sciences, Yangling Vocational and Technical College, Yangling 712100, China
Jiafan Zhang: Research Center for Number Theory and Its Applications, Northwest University, Xi’an 710127, China

Mathematics, 2020, vol. 8, issue 8, 1-10

Abstract: 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.

Keywords: quartic residues; fourth-order character; Gauss sums; counting function; calculation formula; asymptotic formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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