Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces
Volume 214 / 2024
Acta Arithmetica 214 (2024), 23-37
MSC: Primary 11D45; Secondary 11G35, 11R44, 14G05.
DOI: 10.4064/aa230105-10-3
Published online: 4 May 2023
Abstract
We present a general method for handling problems that ask for the equidistribution of solutions to equations involving $m^2+n^2$, and illustrate it by considering $p+m^2+n^2=N$.
