A PROOF OF ANDREWS’ CONJECTURE ON PARTITIONS WITH NO SHORT SEQUENCES

Our main result establishes Andrews’ conjecture for the asymptotic of the generating function for the number of integer partitions of $n$ without $k$ consecutive parts. The methods we develop are applicable in obtaining asymptotics for stochastic processes that avoid patterns; as a result they yield...

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Detalles Bibliográficos
Autores principales: DANIEL M. KANE, ROBERT C. RHOADES
Formato: Artículo
Lenguaje:English
Publicado: Cambridge University Press 2019-01-01
Colección:Forum of Mathematics, Sigma
Materias:
Acceso en línea:https://www.cambridge.org/core/product/identifier/S2050509419000082/type/journal_article