A note on p-adic Carlitz's q-Bernoulli numbers

In a recent paper I have shown that Carlitz's q-Bernoulli number can be represented as an integral by the q-analogue μq of the ordinary p-adic invariant measure. In the p-adic case, J. Satoh could not determine the generating function of q-Bernoulli numbers. In this paper, we give the generatin...

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Published in:Bulletin of the Australian Mathematical Society 2000-10, Vol.62 (2), p.227-234
Main Authors: Kim, Taekyun, Rim, Seog-Hoon
Format: Article
Language:English
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Summary:In a recent paper I have shown that Carlitz's q-Bernoulli number can be represented as an integral by the q-analogue μq of the ordinary p-adic invariant measure. In the p-adic case, J. Satoh could not determine the generating function of q-Bernoulli numbers. In this paper, we give the generating function of q-Bernoulli numbers in the p-adic case.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700018700