## Number Theory: A Seminar Held at the Graduate School and University Center of the City University of New York, 1983-1984This is a volume of papers presented at the New York Number Theory Seminar. Since 1982, the Seminar has been meeting weekly during the academic year at the Graduate School and University Center of the City University of New York. This collection of papers covers a wide area of number theory, particularly modular functions, algebraic and diophantine geometry, and computational number theory. |

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### Contents

R T BUMBY Hausdorff dimension of sets arising in number | 1 |

approximations to the Grothendieck conjecture on linear | 52 |

H COHN Kleins paradox the icosahedron and ring class | 101 |

Copyright | |

6 other sections not shown

### Common terms and phrases

Abelian according algebraic algebraic number apply arbitrary associates assume assumptions bounded called coefficients complex computation condition consider constant construction corollary corresponding curve defined definition denote determine dimension Edited elements elliptic equivalent example exists expansion expression fact field finite formula functions G-functions Geometry given Grothendieck conjecture Hence implies integer kind Lemma linear differential equations maps Math matrix means measure meromorphic method modular multiplicative nilpotent non-negative notations obtain operator Padé approximants particular polynomial present prime problem Proceedings proof properties proposition prove rational real squares relation Remark roots satisfy Siegel's similar singularities solutions sufficiently sum of real surface Theorem Theory tions transform trigonometric values variables varieties vector write zero