Distribution of the values of multiplicative functions modulo a prime number

One investigates the distributions of the values of the modified sum of divisors being a real character mod Q, relative to nonzero residue classes mod , 3 being a prime number. One considers in more detail the case of the function 2^–2r₂(n), where r₂(n) is the number of representations of n by a sum of two squares.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 93, pp. 218–224, 1980.