  We consider expansions of products of theta-functions associated with
arbitrary root systems in terms of nonsymmetric Macdonald polynomials at
$t=\infty$ divided by their norms. The latter are identified with the graded
characters of Demazure slices, some canonical quotients of thick (upper)
level-one Demazure modules, directly related to recent theory of generalized
(nonsymmetric) global Weyl modules. The symmetric Rogers-Ramanujan-type series
considered by Cherednik-Feigin were expected to have some interpretation of
this kind; the nonsymmetric setting appeared necessary to achieve this. As an
application, the coefficients of the nonsymmetric Rogers-Ramanujan series
provide formulas for the multiplicities of the expansions of tensor products of
level-one Kac-Moody representations in terms of Demazure slices.
