## Theory of numbersAmerican Mathematical Society, California Institute of Technology |

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### Contents

Forms of Degrees 7 and 11 over padic Fields | 16 |

An Inequality Connected with Weyls Criterion for Uniform Distribution | 22 |

Characters and Cyclotomy | 31 |

Copyright | |

13 other sections not shown

### Common terms and phrases

abelian algebraic algebraic extension Amer automorph class number coefficients column computed congruence conjecture conjugate contains cusp form cyclic groups Cyclotomy D. H. Lehmer defined degree set denote the number determinant elements Emma Lehmer equivalent exists finite extension finite fields finite number finite order fixed follows formula Fourier free product function fundamental domain Galois group genus given group G Hence Hypothesis H identity implies infinite integral matrix irreducible irreducible polynomial isomorphic latin squares Lehmer Lemma Math method modp modular group modulo multiplicative number of partitions number of solutions number theory obtain p-adic p-adic field polynomial positive integers power residue prime factors problem Proc projective plane proof of Theorem properties prove quadratic forms real numbers Reine Angew representation residue class ring root of unity rows satisfying sequence subfield subgroup sufficiently large Suppose tion unimodular values variables Z-matrix zero