The Theory of Arithmetic Functions

Sieves for theorems of Euler, Rogers, and Ramanujan.- The Voronoï summation formula.- The arithmetic functions of the Jacobi-Perron Algorithm.- Eulerian numbers and operators.- Some functions related to Fibonacci and lucas representations.- On the classification and evaluation of some partition functions and their tables.- Two oscillation theorems.- On the iterates of some arithmetic functions.- Distribution of additive and multiplicative functions.- Oscillation theorems.- Curves with abnormally many integral points.- On certain arithmetical sums.- The use of measure theoretic methods in the study of additive arithmetic functions.- Generalized arithmetic function algebras.- On some arithmetic convolutions.- The number of bi-unitary divisors of an integer.- Density bounds for the sum of divisors function.