An Explicit Formula for Restricted Partition Function through Bernoulli Polynomials

dc.creatorRubinstein, Boris Y.
dc.date2004-06-30
dc.date.accessioned2026-07-07T05:09:52Z
dc.date.available2026-07-07T05:09:52Z
dc.descriptionExplicit 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.
dc.description8 pages, submitted to The Ramanujan Journal
dc.identifierhttps://arxiv.org/abs/math/0407001
dc.identifierhttp://arxiv.org/abs/math/0407001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71742
dc.subjectNumber Theory
dc.subject11P81
dc.titleAn Explicit Formula for Restricted Partition Function through Bernoulli Polynomials
dc.typetext

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