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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.

7 votes

Solutions to nonhomogeneous quadratic equation mod $N$

In order to get solutions of the congruence you are interested in let us consider the equation $x^2+y^2-x-Nz=0$. Using the trivial solution $x=1, y=0, z=0$, we parametrize all rational solutions by ta …
Maciej Ulas's user avatar