## Annals of Mathematics |

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abelian abelian group algebraic analytic function angle axis Calculus of Variations Cauchy-Kowalewski theorem characteristic curves characteristic strip circle coefficients conductor conic conjugate consider constant continuous functions converges corresponding cubic cusps cyclic group defined definition deltoid denote denumerable derivatives determined differential equation dihedrons discrete series divisor double points elements equal example factor finite fractions geodesic geodesic line geometric given triangle group of order harmonic Hence hyperbola hypocycloid identically independent infinite number integers integral curves integral surface intersection interval limit linear locus Math mathematical induction Mathematics modulo natural numbers negative obtain parameter family plane positive postulates potential function prime problem projective proof properties prove quartic region relation respectively roots satisfy segment solution subgroups substitutions sufficient condition suppose Sylow subgroups tangent theory tion transformation uniformly convergent vanish variables zero