Bourgain–Rudnick–Sarnak variance conjecture for lattice points on the sphere
Let N={n∈N:n≢0,4,7(mod8)}\mathcal N=\{n\in\mathbb N:n\not\equiv 0,4,7\pmod{8}\}N={n∈N:n≡0,4,7(mod8)}, let E(n)={x∈Z3:∣x∣2=n}\mathcal E(n)=\{\mathbf{x}\in\mathbb Z^3:|\mathbf{x}|^2=n\}E(n)={x∈Z3:∣x∣2=n}, let…
MathDB