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On a multidimensional Volkenborn integral and higher order Bernoulli numbers
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper, using a multidimensional Volkenborn integral, we give a p-adic expression of the higher order Bernoulli numbers. This shows immediately the relation to the sums of products of the ordinary Bernoulli numbers of Dilcher in 1996. We also consider the Mahler expansion of several p-adic variables function, and give some examples.
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- Copyright © Australian Mathematical Society 2002
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