2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71742Explicit 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.8 pages, submitted to The Ramanujan JournalNumber Theory11P81text