Number Theory

Additive functions and special sets of integers....Pages 1-49
Some new problems and results in number theory....Pages 50-74
Some recent results on positive values of non-homogeneous indefinite quadratic forms....Pages 75-81
On a number of theoretical problems involved in the study of the physics of spin-systems....Pages 82-92
Order-free integers (mod m)....Pages 93-100
Perfect totient numbers....Pages 101-105
A brief summary of some results in the analytic theory of numbers-II....Pages 106-118
Addendum to my paper a brief summary of some results in the analytic theory of numbers....Pages 119-122
Some Ω-results for Ramanujan’s τ-function....Pages 123-137
On certain expoential and character sums....Pages 138-156
Partitions with congruence conditions and color restrictions....Pages 157-169
Problem session (Chaired by Prof. P. Erdös) two problems proposed by K. Ramachandra....Pages 170-177