Additive functions and special sets of integers -- Some new problems and results in number theory -- Some recent results on positive values of non-homogeneous indefinite quadratic forms -- On a number of theoretical problems involved in the study of the physics of spin-systems -- Order-free integers (mod m) -- Perfect totient numbers -- A brief summary of some results in the analytic theory of numbers-II -- Addendum to my paper a brief summary of some results in the analytic theory of numbers -- Some ?-results for Ramanujanโ{128}{153}s ?-function -- On certain expoential and character sums -- Partitions with congruence conditions and color restrictions -- Problem session (Chaired by Prof. P. Erdรถs) two problems proposed by K. Ramachandra