Author | Sรกndor, J. author |
---|---|

Title | Handbook of Number Theory II [electronic resource] / by J. Sรกndor, B. Crstici |

Imprint | Dordrecht : Springer Netherlands, 2004 |

Connect to | http://dx.doi.org/10.1007/1-4020-2547-5 |

Descript | eReference. online resource |

SUMMARY

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 Mรถbius 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

CONTENT

From the contents: Preface -- Basic Symbols -- Basic Notations -- Perfect Numbers: Old and New Issues: Perspectives -- Generalizations and Extensions of the Mรถbius Function -- The many Facets of Eulerโ{128}{153}s Totient -- Special Arithmetic Function connected with the Divisors, or with the Digits of a Number -- Sterling, Bell, Bernoulli, Euler and Eulerian Numbers -- Reference -- Index

Mathematics
Group theory
Numerical analysis
Number theory
Probabilities
Combinatorics
Mathematics
Number Theory
Combinatorics
Probability Theory and Stochastic Processes
Numerical Analysis
Group Theory and Generalizations