Savastru O. Distribution of values of arithmetic functions in special sequences.

The asymptotic formula for non-symmetric divisor function in arithmetic progression is constructed. The auxiliary results about estimations of the exponential sums, which generalize the sums of Kloosterman, are received. The additive problem of divisors in the ring of integer gaussian numbers is received. An asymptotic formula in generalization divisor problem is obtained. The approached functional equation for zeta- function of Epstein is constructed. The estimation of the second moment of this function is received. The distribution of function, which denotes the number of representations of the integer gaussian number in the special form, is investigated.