## Annals of Mathematics |

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abelian group algebraic American Mathematical Society analytic function asymptotic axes boundary point characteristic factor coefficients commutative law complete neighborhood constant contains convergent coordinates corollary corresponding curve cyclic group defined denote derivatives determinant differential equation divisible Dn and Sn elements equation x2 exists finite Fn(a following theorem function geodesic curvature given gk(u greatest common divisor group of order Hence integer invariant invariant-factors inverse isogonal trajectories isogonals Jacobian Lemma linear locus matrix modulo multiple natural family necessary and sufficient obtained odd prime factor one-to-one and analytic orthogonal osculating plane polynomial positive integer postulates prime factor prime number proof properties quadratic quartic quartic surface quasi-Hermitian substitution quasi-unitary region relatively prime rhomb roots of unity satisfies single-valued and analytic solution Suppose surface symmetric symmetrical matrix systems of imprimitivity tangents Theorem XIV transformation values vanish variables