Preface. Basic Symbols. Basic Notations.
I.
Euler's phi-function.
II.
The arithmetical function
d(n)
, its generalizations and its analogues.
III.
Sum-of-divisors function, generalizations, analogues; Perfect numbers and related problems.
IV.
P, p, B, beta
and related functions.
V.
omega
(n), Omega(n)
and related functions.
VI.
Function mu
;
k
-free and
k
-full numbers.
VII.
Functions
pi(x), psi(x),
theta(x)
, and the sequence of prime numbers.
VIII.
Primes in arithmetic progressions and other sequences.
IX.
Additive and diophantine problems involving primes.
X.
Exponential sums.
XI.
Character sums.
XII.
Binomial coefficients, consecutive integers and related problems.
XIII.
Estimates involving finite groups and semi-simple rings.
XIV.
Partitions.
XV.
Congruences, residues and primitive roots.
XVI.
Additive and multiplicative functions. Index of authors.
