Fisher-Hartwig conjecture and the correlators in the inpenetrable Bose   gas
  We apply the theorems from the theory of Toeplitz determinants to calculate the asymptotics of various correlators including the exponential ones in the inpenetrable one-dimensional Bose gas system. The known correlators in the free-fermion system are also used to test the generalized Fisher-Hartwig conjecture. 
A.A.Ovchinnikov