2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97242This paper provides asymptotics with a sharp error term for the Dirichlet summatory function of a certain class of arithmetic functions. The result applies, e.g., to the sums over r^2(n) and r(n^3), where r(m) denotes the number of ways to write m as a sum of two squares of integers.Number Theory11N37The average number of solutions of the Diophantine equation U^2 + V^2 = W^3 and related arithmetic functionstext