Abstract and Applied Analysis
Volume 2008 (2008), Article ID 360517, 10 pages
On a Two-Variable -Adic -Function
1Department of Mathematics, Kyungnam University, Masan 631701, South Korea
2Division of General Education-Mathematics, Kwangwoon University, Seoul 139701, South Korea
3Department of Physics, Kyungnam University, Masan 631701, South Korea
Received 18 December 2007; Accepted 28 May 2008
Academic Editor: Allan Peterson
Copyright © 2008 Min-Soo Kim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We prove that a two-variable -adic -function has the series expansion which interpolates the values , whenever is a nonpositive integer. The proof of this original construction is
due to Kubota and Leopoldt in 1964, although the method given in this note
is due to Washington.