The asymptotic norm conjecture for Toeplitz matrices with multiple Fisher–Hartwig singularities
Let R≥2R\geq 2R≥2 and let … where t1,…,tRt_1,\ldots,t_Rt1,…,tR are distinct points on T{\bf T}T, 0<Reαr<1/20<\operatorname{Re}\alpha_r<1/20<Reαr<1/2, −1/2<Reβr≤1/2-1/2<\operatorname{Re}\beta_r\leq 1/2−1/2<Reβr≤1/2, and…
Forrester–Frankel asymptotic conjecture for Fisher–Hartwig Hankel determinants
Forrester–Frankel conjecture. As N→∞N\to\inftyN→∞ with mmm, qqq, and μ\muμ fixed,