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On the Quartic Residues and Their New Distribution Properties

Author

Listed:
  • 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)

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.

Suggested Citation

  • Juanli Su & Jiafan Zhang, 2020. "On the Quartic Residues and Their New Distribution Properties," Mathematics, MDPI, vol. 8(8), pages 1-10, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1337-:d:397339
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