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:
Research
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
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author Wang, Haiqing
Liu, Guodong
author_facet Wang, Haiqing
Liu, Guodong
author_sort Wang, Haiqing
collection PubMed
description 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.
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spelling pubmed-48169662016-04-04 Congruences for central factorial numbers modulo powers of prime Wang, Haiqing Liu, Guodong Springerplus Research 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. Springer International Publishing 2016-03-31 /pmc/articles/PMC4816966/ /pubmed/27047725 http://dx.doi.org/10.1186/s40064-016-2028-5 Text en © Wang and Liu. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wang, Haiqing
Liu, Guodong
Congruences for central factorial numbers modulo powers of prime
title Congruences for central factorial numbers modulo powers of prime
title_full Congruences for central factorial numbers modulo powers of prime
title_fullStr Congruences for central factorial numbers modulo powers of prime
title_full_unstemmed Congruences for central factorial numbers modulo powers of prime
title_short Congruences for central factorial numbers modulo powers of prime
title_sort congruences for central factorial numbers modulo powers of prime
topic Research
url 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
work_keys_str_mv AT wanghaiqing congruencesforcentralfactorialnumbersmodulopowersofprime
AT liuguodong congruencesforcentralfactorialnumbersmodulopowersofprime

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