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Congruences for central factorial numbers modulo powers of prime

Central factorial numbers are more closely related to the Stirling numbers than the other well-known special numbers, and they play a major role in a variety of branches of mathematics. In the present paper we prove some interesting congruences for central factorial numbers.

Detalles Bibliográficos
Autores principales: Wang, Haiqing, Liu, Guodong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4816966/
https://www.ncbi.nlm.nih.gov/pubmed/27047725
http://dx.doi.org/10.1186/s40064-016-2028-5
Descripción
Sumario:Central factorial numbers are more closely related to the Stirling numbers than the other well-known special numbers, and they play a major role in a variety of branches of mathematics. In the present paper we prove some interesting congruences for central factorial numbers.