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Handbook of Number Theory II

  • Reference work
  • © 2004

Overview

Authors:
  1. J. Sándor

    1. Department of Mathematics and Computer Science, Babeş-Bolyai University of Cluj, Cluj-Napoca, Romania

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  2. B. Crstici

    1. formerly the Technical University of Timişoara, Timişoara, Romania

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    You can also search for this author in PubMed   Google Scholar

  • Focuses on some important topics from Number Theory and Discrete Mathematics

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Table of contents (5 entries)

  1. Front Matter

    Pages i-xiv
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  2. Perfect numbers: Old and new issues; perspectives

    • J. Sándor, B. Crstici
    Pages 15-96

  3. Generalizations and extensions of the möbius function

    • J. Sándor, B. Crstici
    Pages 99-177

  4. The many facets of euler’s totient

    • J. Sándor, B. Crstici
    Pages 179-327

  5. Special arithmetic functions connected with the divisors, or with the digits of a number

    • J. Sándor, B. Crstici
    Pages 329-457

  6. Stirling, bell, bernoulli, euler and eulerian numbers

    • J. Sándor, B. Crstici
    Pages 459-618

  7. Back Matter

    Pages 619-637
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Keywords

About this book

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.

Reviews

From the reviews:

"It is the aim of this monograph to give, in an encyclopedic manner, surveys on some topics of Number Theory with many hints to the literature. … The reviewer thinks that this monograph is a great help to number theorists … ." (Wolfgang Schwarz, Zentralblatt MATH, Vol. 1079 (5), 2006)

"This book is a compendium of results in certain areas of number theory … . This volume can be quite useful for researchers … and each chapter ends with a large list of references." (Don Redmond, Mathematical Reviews, Issue 2005 k)

Authors and Affiliations

  • Department of Mathematics and Computer Science, Babeş-Bolyai University of Cluj, Cluj-Napoca, Romania

    J. Sándor

  • formerly the Technical University of Timişoara, Timişoara, Romania

    B. Crstici

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