## An Introduction to the Theory of NumbersThis is the fifth edition of a work (first published in 1938) which has become the standard introduction to the subject. The book has grown out of lectures delivered by the authors at Oxford, Cambridge, Aberdeen, and other universities. It is neither a systematic treatise on the theory ofnumbers nor a 'popular' book for non-mathematical readers. It contains short accounts of the elements of many different sides of the theory, not usually combined in a single volume; and, although it is written for mathematicians, the range of mathematical knowledge presupposed is not greater thanthat of an intelligent first-year student. In this edition the main changes are in the notes at the end of each chapter; Sir Edward Wright seeks to provide up-to-date references for the reader who wishes to pursue a particular topic further and to present, both in the notes and in the text, areasonably accurate account of the present state of knowledge. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

THE SERIES OF PRIMES | 1 |

FAREY SERIES AND A THEOREM OF MINKOWSKI | 23 |

IRRATIONAL NUMBERS | 38 |

W CONGRUENCES AND RESIDUES | 48 |

FERMATS THEOREM AND ITS CONSEQUENCES | 63 |

GENERAL PROPERTIES OF CONGRUENCES | 82 |

CONGRUENCES TO COMPOSITE MODULI | 94 |

THE REPRESENTATION OF NUMBERS BY DECIMALS | 107 |

QUADRATIC FIELDS | 204 |

THE ARITHMETICAL FUNCTIONS n pn dn on rn | 233 |

GENERATING FUNCTIONS OF ARITHMETICAL FUNCTIONS | 244 |

THE ORDER OF MAGNITUDE OF ARITHMETICAL FUNCTIONS | 260 |

PARTITIONS | 273 |

THE REPRESENTATION OF A NUMBER BY TWO | 297 |

REPRESENTATION BY CUBES AND HIGHER POWERS | 317 |

THE SERIES OF PRIMES | 340 |

CONTINUED FRACTIONS | 129 |

APPROXIMATION OF IRRATIONALS BY RATIONALS | 154 |

THE FUNDAMENTAL THEOREM OF ARITHMETIC IN k1 | 178 |

SOME DIOPHANTINE EQUATIONS | 190 |

KRONECKERS THEOREM | 375 |

APPENDIX | 414 |

INDEX OF SPECIAL SYMBOLS AND WORDS | 420 |

### Other editions - View all

An Introduction to the Theory of Numbers Godfrey Harold Hardy,Edward Maitland Wright No preview available - 1979 |

### Common terms and phrases

absolutely convergent algebraic number algorithm argument arithmetic coefficients congruence contradiction convergent coprime corresponding cubes D. H. Lehmer decimal deduce defined definition Dickson digits divide divisible equation equivalent Euclid's Euclid's algorithm Euclidean Euler example Farey Farey series follows formulae function fundamental theorem Gaussian integers give Hence THEOREM inequality infinite infinity integral polynomial integral quaternions interval irrational Journal London Math k(Vm Kronecker's theorem Landau lattice point loga logloga modulus multiple non-residue NOTES ON CHAPTER number of partitions obtain THEOREM odd prime parallelogram particular positive integers prime factors problem proof of Theorem properties prove Theorem quadratic fields quadratic residue Ramanujan rational integers rational prime representable residues mod result roots satisfies sequence simple continued fraction solution square suppose theory of numbers trivial true unity values Waring's problem Wilson's theorem write

### References to this book

The Arcata conference on representations of finite groups, Part 1 Paul Fong No preview available - 1987 |