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Expression for restricted partition function through Bernoulli polynomials

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Abstract

Explicit expressions for restricted partition function W(s,d m) and its quasiperiodic components W j (s,d m) (called Sylvester waves) for a set of positive integers 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.

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  1. Stowers Institute for Medical Research, 1000 East 50th St., Kansas City, MO, 64110, USA

    Boris Y. Rubinstein

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  1. Boris Y. Rubinstein
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Correspondence to Boris Y. Rubinstein.

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Rubinstein, B.Y. Expression for restricted partition function through Bernoulli polynomials. Ramanujan J 15, 177–185 (2008). https://doi.org/10.1007/s11139-007-9070-4

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  • DOI: https://doi.org/10.1007/s11139-007-9070-4

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