Reciprocity Relations for Bernoulli Numbers

@article{Agoh2008ReciprocityRF,
  title={Reciprocity Relations for Bernoulli Numbers},
  author={T. Agoh and K. Dilcher},
  journal={The American Mathematical Monthly},
  year={2008},
  volume={115},
  pages={237 - 244}
}
  • T. Agoh, K. Dilcher
  • Published 2008
  • Computer Science, Mathematics
  • The American Mathematical Monthly
  • with Bq = 1. It is easy to find the first few values Bx = -1/2, B2 = 1/6, B4 = -1/30. Among the numerous known properties are the facts that Bn = 0 for all odd n > 3, and that the B2k have alternating signs. Standard references for Bernoulli numbers are the handbook [1] or the monographs [16], [21], or [27]. For a comprehensive bibli ography, see [10]. The two older books [26] and [30] are almost entirely devoted to Bernoulli numbers, but they use a different system of notation. There is also a… CONTINUE READING
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