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An explicit form of the polynomial part of a restricted partition function

We prove an explicit formula for the polynomial part of a restricted partition function, also known as the first Sylvester wave. This is achieved by way of some identities for higher-order Bernoulli polynomials, one of which is analogous to Raabe’s well-known multiplication formula for the ordinary...

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Detalles Bibliográficos
Autores principales: Dilcher, Karl, Vignat, Christophe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7175688/
https://www.ncbi.nlm.nih.gov/pubmed/32355872
http://dx.doi.org/10.1007/s40993-016-0065-3