Restricted Partition Functions as Bernoulli and Euler Polynomials of Higher Order

Boris Y. Rubinstein, Leonid G. Fel

Explicit expressions for restricted partition function $W(s,{\mathbf{d}}^m)$ and its quasiperiodic components $W_j(s,{\mathbf{d}}^m)$ (called {\em Sylvester waves}) for a set of positive int…