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 M bius 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.
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