1994Chinese Science BulletinRequires access

A Problem of R.K.Guy

郑志勇

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Abstract

Let p be an odd prime and (n/p) be the Legendre symbol.When p≡1(mod4),it is easily seen that the numbers of quadratic residues in intervals T_1 =[1,(p-1)/2] and T2=[(p+1)/2,p] are equal.In other words, the distribution of quadratic residues

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Let p be an odd prime and (n/p) be the Legendre symbol.When p≡1(mod4),it is easily seen that the numbers of quadratic residues in intervals T_1 =[1,(p-1)/2] and T2=[(p+1)/2,p] are equal.In other words, the distribution of quadratic residues

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Available abstract

Let p be an odd prime and (n/p) be the Legendre symbol.When p≡1(mod4),it is easily seen that the numbers of quadratic residues in intervals T_1 =[1,(p-1)/2] and T2=[(p+1)/2,p] are equal.In other words, the distribution of quadratic residues

Key concepts: Legendre symbol, Quadratic residue, Mathematics, Combinatorics, Prime (order theory), Quadratic equation, Symbol (formal), Distribution (mathematics)

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