Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-24T01:17:01.263Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  17 April 2009

Taekyun Kim  and
Seog-Hoon Rim
Taekyun Kim
Affiliation:
Centre for Experimental and Constructive Mathematcs, Simon Fraser University, Burnaby, Canada, e-mail: taekyun@cecm.sfu.ca
Seog-Hoon Rim
Affiliation:
Department of Mathematics Education, Kyungpook National University, 702–701Taegu, South Korea
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 227 - 234
Copyright
Copyright © Australian Mathematical Society 2000

References

[1]Kim, T., ‘On a q-analogue of the p-adic log gamma functions and related integrals’, J. Number Theory 76 (1999), 320–329.CrossRefGoogle Scholar
[2]Satoh, J., ‘q-Analogue of Riemann's ζ-function and q-Euler numbers’, J. Number Theory 31 (1989), 346–362.CrossRefGoogle Scholar