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Topic:
About a diophante equation x^2+y^2=a^2+b^2
Replies:
5
Last Post:
Oct 7, 2010 2:51 PM




Re: About a diophante equation x^2+y^2=a^2+b^2
Posted:
Oct 7, 2010 11:02 AM


why I read in http://mathworld.wolfram.com/DiophantineEquation2ndPowers.html Parametric solutions to the 2.2.2 equation A^2+B^2=C^2+D^2 are known (Dickson 2005; Guy 1994, p. 140). The number of solutions are given by the sum of squares function r_2(n)
Please tell me where its proof is
Beside, I have a exercise: Find the general rational solution of the equation x^2 + y^2 = a^2 + b^2, where a and b are given rational numbers. Can you solve it for me?



