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Exercises in Number Theory

  • Authors
  • D. P. Parent

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-x
  2. D. P. Parent
    Pages 127-143
  3. D. P. Parent
    Pages 144-169
  4. D. P. Parent
    Pages 170-240
  5. D. P. Parent
    Pages 241-307
  6. D. P. Parent
    Pages 308-358
  7. D. P. Parent
    Pages 359-407
  8. D. P. Parent
    Pages 408-425
  9. D. P. Parent
    Pages 426-465
  10. D. P. Parent
    Pages 466-532
  11. Back Matter
    Pages 533-541

About this book

Introduction

After an eclipse of some 50 years, Number Theory, that is to say the study of the properties of the integers, has regained in France a vitality worthy of its distinguished past. More 'and more researchers have been attracted by problems which, though it is possible to express in simple statements, whose solutions require all their ingenuity and talent. In so doing, their work enriches the whole of mathematics with new and fertile methods. To be in a position to tackle these problems, it is neces­ sary to be familiar with many specific aspects of number theory. These are very different from those encountered in analysis or geometry. The necessary know-how can only be acquired by study­ ing and solving numerous problems. Now it is very easy to form­ ulate problems whose solutions, while sometimes obvious, more often go beyond current methods. Moreover, there is no doubt that, even more than in other disciplines, in mathematics one must have exercises available whose solutions are accessible. This is the objective realised by this work. It is the collab­ orative work of several successful young number theorists. They have drawn these exercises from their own work, from the work of their associated research groups as well as from published work.

Keywords

Prime Prime number algebra calculus geometry number theory

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-5194-9
  • Copyright Information Springer-Verlag New York 1984
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3071-2
  • Online ISBN 978-1-4757-5194-9
  • Series Print ISSN 0941-3502
  • Buy this book on publisher's site