On sums and differences of two relative prime cubes

Abstract

This article is concerned with the average order of the arithmetic functions ,which count the number of ways to write a natural number η as a sum, resp., a difference of two cubes of relative prime positive integers. Assuming the truth of the Riemann Hypothesis, it is proved thatwith explicit constants A, B+ , and B~ .

Primitive lattice points in starlike planar sets

“…Again the estimate can be improved slightly, making use of more precise representations of the error term in (4.2) (see [19]). …”