Handbook of Number Theory II

Joszef Sándor, Borislav Crstici

637 pages, parution le 14/02/2005

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Résumé

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.

Sommaire

Preface
Basic Symbols
Basic Notations
Perfect Numbers: Old and New Issues: Perspectives
Generalizations and Extensions of the Möbius Function
The many Facets of Euler's Totient
Special Arithmetic Function connected with the Divisors, or with the Digits of a Number
Sterling, Bell, Bernoulli, Euler and Eulerian Numbers

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Kluwer Academic Publishers
Auteur(s)	Joszef Sándor, Borislav Crstici
Parution	14/02/2005
Nb. de pages	637
Format	16,5 x 24,5
Couverture	Relié
Poids	1101g
Intérieur	Noir et Blanc
EAN13	9781402025464
ISBN13	978-1-4020-2546-4