An asymptotic formula for an arithmetic sum
Let d(n) denote the number of divisors of n. An asymptotic formula is derived for the sum \(\sum d(x^ 3+y^ 3+z^ 3),\) which is extended over all non-negative integers x, y, z with \(x^ 3+y^ 3+z^ 3\leq N.\) The investigations are based on \textit{C. Hooley}'s work in Waring's problem for two squares and three cubes [J. Reine Angew. Math. 328, 161- 207 (1981; Zbl 0463.10036)].
scientific article; zbMATH DE number 4116636