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.