A Short Proof of Carlitz’s Bernoulli Number Identity
Helmut Prodinger
Department of Mathematical Sciences
Stellenbosch University
7602 Stellenbosch
South Africa
Abstract:
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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