Bernoulli numbers and symmetric functions

Bernoulli numbers and symmetric functions
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DOI:
10.1007/s13398-019-00774-6
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发表时间:
2019-12
期刊:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
影响因子:
--
通讯作者:
M. Merca
M. Merca
中科院分区:
其他
文献类型:
--
作者:
M. Merca

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Some of the known properties of the Bernoulli numbers can be derived as specializations of the fundamental relationships between complete and elementary symmetric functions. In this paper, we introduce an infinite family of relationships between complete and elementary symmetric functions. As specializations of this result we derive connections between some lacunary recurrence relations with gaps of length 2rfor the Bernoulli numbers and the integer partitions into at mostparts.