Question: Let be a positive square number, where h( ) is the nuber of classes of primitive binary quadratic forms of discriminant . Demonstrate that every

Letbe a positive square number, where h() is the nuber of classes of primitive binary quadratic forms of discriminant. Demonstrate that every such form has a double-lake or else has a unique rivermouth: a triad around which the values are negative positive-zero in clockwise orientation. Use this to derive an exact formula for h().

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