ABSTRACT

This volume focuses on the classical theory of number-theoretic functions emphasizing algebraic and multiplicative techniques. It contains many structure theorems basic to the study of arithmetic functions, including several previously unpublished proofs. The author is head of the Dept. of Mathemati

part 1|133 pages

Part 1

chapter I|22 pages

Arithmetical Convolutions

chapter II|21 pages

Dirichlet Convolution

chapter III|22 pages

Multiplicative Functions of One Variable

chapter IV|15 pages

The Divisor Functions

chapter V|32 pages

The Euler ϕ-Function

chapter VI|19 pages

The Möbius Function

part 2|89 pages

Part 2

chapter VII|16 pages

Multiplicative Functions of Two Variables

chapter IX|26 pages

Ramanujan’s Sum and Its Generalizations

chapter X|27 pages

Cyclotomic Polynomials

part 3|150 pages

Part 3

chapter XI|21 pages

Multiplicative Functions Revisited

chapter XII|31 pages

Ramanujan’s τ-Function

chapter XIII|16 pages

Specially Multiplicative Functions

chapter XV|14 pages

The Algebra of Residue Classes (mod r)

chapter XVI|28 pages

Periodic Functions (mod r)

chapter XVII|21 pages

Arithmetic Functions of Polynomials