Question
For which primes powers are there solutions to x^2+y^2=0(mop p^k) with (x,p)=(y,p)=1. I have worked out that x^2+y^2=0(mod p) has solutions when p =4k+1 but
For which primes powers are there solutions to x^2+y^2=0(mop p^k) with (x,p)=(y,p)=1.
I have worked out that x^2+y^2=0(mod p) has solutions when p =4k+1 but I am not sure how I can use this this to check if powers of p=4k+1 also has solutions.
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Shape Optimization And Optimal Design
Authors: John Cagnol
1st Edition
0824705564, 978-0824705565
