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An Explicit Formula for Restricted Partition Function through Bernoulli
Polynomials
Published Web Location
https://arxiv.org/pdf/math/0407001.pdfNo data is associated with this publication.
Abstract
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.