Handbook of Number Theory II

This comprehensive volume offers a deep exploration of specialized topics in number theory and discrete mathematics, moving well beyond elementary arithmetic into the realm of advanced mathematical functions. The text systematically examines the sum of divisors function with thorough coverage of perfect numbers, delves into Euler's totient function and its numerous properties, and analyzes the Möbius function with its various generalizations and practical applications. It further extends its scope to arithmetic functions related to divisors and digital representations, alongside significant combinatorial sequences including Stirling, Bell, Bernoulli, and Eulerian numbers.

What distinguishes this work is its focused approach to connecting these abstract mathematical concepts to various fields of pure and applied mathematics, making it an invaluable resource for advanced undergraduate students, graduate researchers, and professional mathematicians. The handbook serves as a specialized reference that bridges theoretical number theory with concrete applications, providing a structured pathway through complex topics that are often treated in isolation. Readers seeking a rigorous, function-by-function analysis will find this an essential addition to their mathematical library.