Equidistribution conjecture for the signs of square-free representation differences
For each odd square-free integer ttt, let Δ(t)=rQ1(t)−rQ2(t)\Delta(t)=r_{Q_1}(t)-r_{Q_2}(t)Δ(t)=rQ1(t)−rQ2(t), and define … … and N≠0(X)=N+(X)+N−(X)N_{\ne 0}(X)=N_+(X)+N_-(X)N=0(X)=N+(X)+N−(X). Sign equidistribution conjecture. As X→∞X\to\inftyX→∞, … E…