Article ID Journal Published Year Pages File Type
5778939 Indagationes Mathematicae 2017 7 Pages PDF
Abstract
In a recent paper, Byrnes et al. (2014) have developed some recurrence relations for the hypergeometric zeta functions. Moreover, the authors made two conjectures for arithmetical properties of the denominators of the reduced fraction of the hypergeometric Bernoulli numbers. In this paper, we prove these conjectures using some recurrence relations. Furthermore, we assert that the above properties hold for both Carlitz and Howard numbers.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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