This article reviews recent advances in the theory of the three-dimensional dilute
homogeneous Bose gas at zero and finite temperature. Effective-field-theory methods are …

We discuss and apply various direct extrapolation methods for calculation of the critical
points and indices from the perturbative expansions my means of Padé-techniques and their …

The review presents the development of an approach of constructing approximate solutions
to complicated physics problems, starting from asymptotic series, through optimized …