Correlation and lower bounds of arithmetic expressions
Volume 214 / 2024
Acta Arithmetica 214 (2024), 257-269
MSC: Primary 11N37; Secondary 11P21, 11L07
DOI: 10.4064/aa230511-23-9
Published online: 2 April 2024
Abstract
We explore the use of correlation with simple functions to get lower bounds for arithmetic quantities. In particular, we apply this idea to the power moments of the error term when counting visible lattice points in large spheres.
