The Ramanujan Journal

, Volume 15, Issue 2, pp 177–185

Expression for restricted partition function through Bernoulli polynomials

Article
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Abstract

Explicit expressions for restricted partition function W(s,dm) and its quasiperiodic components Wj(s,dm) (called Sylvester waves) for a set of positive integers dm={d1,d2,…,dm} are derived. The formulas are represented in a form of a finite sum over Bernoulli polynomials of higher order with periodic coefficients.

Keywords

Restricted partitions Bernoulli polynomials of higher order 

Mathematics Subject Classification (2000)

11P81 11B68 11B37 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Stowers Institute for Medical ResearchKansas CityUSA

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