Consider a quadratic equation with integer coefficients in two variables.
$$ax^2+bxy+cy^2+dx+ey+f=0$$
I would like to know how to find the number of integer solutions $(x,y)$ to this equations. Is there some closed formula?
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I know of a step by step method to solve specific ones. Have never been able to use it to get a general solution though. – bobbym Feb 12 '14 at 18:39
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5See http://math.stackexchange.com/questions/9269/how-to-solve-inhomogeneous-quadratic-forms-in-integers?rq=1 for details. – Kieren MacMillan Apr 30 '14 at 00:33