  Explicit expressions for restricted partition function $W(s,{\bf d}^m)$ and
its quasiperiodic components $W_j(s,{\bf d}^m)$ (called Sylvester waves) for a
set of positive integers ${\bf d}^m = \{d_1, d_2, ..., d_m\}$ are derived. The
formulas are represented in a form of a finite sum over Bernoulli polynomials
of higher order with periodic coefficients.

Number Theory