Abstract
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 2r for the Bernoulli numbers and the integer partitions into at most $$r-1$$ parts.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
