## Number Theory: A Seminar Held at the Graduate School and University Center of the City University of New York, 1982David Chudnovsky, Gregory Chudnovsky, Harvey Cohn, Melvyn Bernard Nathanson |

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### Contents

Moments of Additive Functions and Sieve | 1 |

K ALLADI | 24 |

Approximations to Systems of Functions and their Arithmetic | 37 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

additive algebraic functions algebraic numbers analytic applications arbitrary assume asymptotic basis bound coefficients complete compute conjecture consider constant construction continued corresponding curve defined definition denote depending determined diophantine distribution Edited effective eigenvalue elements estimate example exists expansion explicit exponent expression fact field finite formal formula give given Hence highest weight holds identity implies improvement independent integers interesting irrationality irreducible known Lemma linear differential equations Math matrix measure method module multiplicative Note number theory obtain operators Padé approximations particular points polynomial possible present prime problem Proceedings proof Proposition prove rational rational integers recurrence relations Remark representation root satisfying sieve similar simple singularities solutions space standard Theorem tions values vector weight zero