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Let p=4k+1 be a prime number and Fp the finite field with p elements. For x∈1,n, Nx will denote the set of quadratic nonresidues less than or equal to x. In this work we calculate the number of quadratic nonresidues in the shifted set N(p-1)/2+a

international journal of mathematics and mathematical sciences

Counting Quadratic Nonresidues in Shifted Subsets of the Set of Quadratic Nonresidues for Primes<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>

Counting Quadratic Nonresidues in Shifted Subsets of the Set of Quadratic Nonresidues for Primesp=4k+1