Carlitz’s Identity for the Bernoulli Numbers and Zeon Algebra

نویسنده

  • Antônio Francisco Neto
چکیده

In this work we provide a new short proof of Carlitz’s identity for the Bernoulli numbers. Our approach is based on the ordinary generating function for the Bernoulli numbers and a Grassmann-Berezin integral representation of the Bernoulli numbers in the context of the Zeon algebra, which comprises an associative and commutative algebra with nilpotent generators.

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تاریخ انتشار 2015