On sums of two cubes: an Ω₊-estimate for the error term
Volume 85 / 1998
Acta Arithmetica 85 (1998), 179-195
DOI: 10.4064/aa-85-2-179-195
Abstract
The arithmetic function $r_k(n)$ counts the number of ways to write a natural number n as a sum of two kth powers (k ≥ 2 fixed). The investigation of the asymptotic behaviour of the Dirichlet summatory function of $r_k(n)$ leads in a natural way to a certain error term $P_{
