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AuthorSรกndor, J. author
TitleHandbook of Number Theory II [electronic resource] / by J. Sรกndor, B. Crstici
ImprintDordrecht : Springer Netherlands, 2004
Connect tohttp://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



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