Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces
Tom 214 / 2024
                    
                    
                        Acta Arithmetica 214 (2024), 23-37                    
                                        
                        MSC: Primary 11D45; Secondary 11G35, 11R44, 14G05.                    
                                        
                        DOI: 10.4064/aa230105-10-3                    
                                            
                            Opublikowany online: 4 May 2023                        
                                    
                                                Streszczenie
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 $p+m^2+n^2=N$.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            