## Analytic Number Theory: Proceedings of a Conference in Honor of Paul T. Bateman |

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### Contents

Preface | 1 |

Baker and H L Montgomery Oscillations of Quadratic | 23 |

Balazard and A Smati Elementary Proof of a Theorem | 41 |

Copyright | |

23 other sections not shown

### Other editions - View all

Analytic Number Theory: Proceedings of a Conference in Honor of Paul T. Bateman B. Berndt Limited preview - 1990 |

Analytic Number Theory: Proceedings of a Conference in Honor of Paul T. Bateman B. Berndt Limited preview - 2012 |

### Common terms and phrases

Acta Arith apply arithmetic progression assume asymptotic density Bombieri character sums coefficients completes the proof condition congruences conjecture Corollary cusp cusp form deduce defined denote the number Dirichlet Dirichlet series divisors divisors function Eisenstein series elements estimate exists exponential finite fixed follows formula functional equation generalised power sum given hand side Heath-Brown Hence holds hypothesis identities implies inequality Lemma limsup linear log2 logp logx logy matrix Mellin transform method modular forms modulo multiplicative nonnegative integers notation Note number field number of partitions number of prime Number Theory obtain p-adic Paul Bateman polynomial positive integers power sum prime factors prime number theorem problem Proc proof of Theorem quadratic rational function real numbers recurrence result Riemann Riemann Hypothesis satisfying sequence solutions squarefree submodular function subset subspace sufficiently large summation Suppose unbranched uniformly values vector weight write zeros