MathDB
Quadratic residues

Source: Bulgarian TST 2007 for Balkan MO and ARO, II day Problem 4

April 9, 2007
quadraticsmodular arithmeticnumber theory proposednumber theory

Problem Statement

Let p=4k+3p=4k+3 be a prime number. Find the number of different residues mod p of (x2+y2)2(x^{2}+y^{2})^{2} where (x,p)=(y,p)=1.(x,p)=(y,p)=1.
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