Journal of Integer Sequences, Vol. 17 (2014), Article 14.4.1

A Short Proof of Carlitz’s Bernoulli Number Identity

Helmut Prodinger
Department of Mathematical Sciences
Stellenbosch University
7602 Stellenbosch
South Africa


For an identity related to Bernoulli numbers, stated by Carlitz, rediscovered and reproved by various researchers, an extremely short and direct proof is provided which uses a bivariate exponential function.

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Received January 18 2014; revised version received January 20 2014. Published in Journal of Integer Sequences, February 15 2014.

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