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Table of contents

  1. Front Matter
    Pages i-xiv
  2. J. Sándor, B. Crstici
    Pages 15-96
  3. J. Sándor, B. Crstici
    Pages 99-177
  4. J. Sándor, B. Crstici
    Pages 179-327
  5. J. Sándor, B. Crstici
    Pages 459-618
  6. Back Matter
    Pages 619-637

About this book

Introduction

This handbook focuses on some important topics from Number Theory and Discrete Mathematics. These include the sum of divisors function with the many old and new issues on Perfect numbers; Euler's totient and its many facets; the Möbius function along with its generalizations, extensions, and applications; the arithmetic functions related to the divisors or the digits of a number; the Stirling, Bell, Bernoulli, Euler and Eulerian numbers, with connections to various fields of pure or applied mathematics. Each chapter is a survey and can be viewed as an encyclopedia of the considered field, underlining the interconnections of Number Theory with Combinatorics, Numerical mathematics, Algebra, or Probability Theory.

This reference work will be useful to specialists in number theory and discrete mathematics as well as mathematicians or scientists who need access to some of these results in other fields of research.

Keywords

KAP_D007P brandonwiskunde algebra arithmetic Combinatorics discrete mathematics number theory numerical analysis probability probability theory

Authors and affiliations

  • J. Sándor
    • 1
  • B. Crstici
    • 2
  1. 1.Department of Mathematics and Computer ScienceBabeş-Bolyai University of ClujCluj-NapocaRomania
  2. 2.formerly the Technical University of TimişoaraTimişoaraRomania

Bibliographic information

  • DOI https://doi.org/10.1007/1-4020-2547-5
  • Copyright Information Springer Science+Business Media B.V. 2004
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-2546-4
  • Online ISBN 978-1-4020-2547-1
  • Buy this book on publisher's site