Journal of Jishou University(Natural Sciences Edition)

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New Findings about the Distribution Density of Quadratic Residue

HUANG Yiru,HUANG Jian,TAN Fuping,ZHANG Chaohui,WANG Peikang   

  1. (Department of Mathematics,Shanghai University,Shanghai 200444,China)
  • Online:2016-03-25 Published:2016-05-11

Abstract:

We established a wonderful theorem about 2-partition on three circles when researching the Vander Waerden Number.Based on the theorem,we revealed a new law of quadratic residue:for prime number p,about p/4 quadratic residues or quadratic nonresidues are isolated points;in addition,about p/4 have the interval length of at least 2.

Key words: quadratic residue, distribution density, interval length, [p]k transformation

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