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2008 On a Two-Variable p -Adic l q -Function
Min-Soo Kim, Taekyun Kim, D. K. Park, Jin-Woo Son
Abstr. Appl. Anal. 2008: 1-10 (2008). DOI: 10.1155/2008/360517

Abstract

We prove that a two-variable p -adic l q -function has the series expansion l p , q ( s , t , χ ) = ( [ 2 ] q / [ 2 ] F ) a = 1 , ( p , a ) = 1 F ( 1 ) a ( χ ( a ) q a / a + p t s ) m = 0 ( s m ) ( F / a + p t ) m E m , q F * which interpolates the values l p , q ( n , t , χ ) = E n , χ n , q ( p t ) p n χ n ( p ) ( [ 2 ] q / [ 2 ] q p ) E n , χ n , q p ( t ) , whenever n 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.

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Min-Soo Kim. Taekyun Kim. D. K. Park. Jin-Woo Son. "On a Two-Variable p -Adic l q -Function." Abstr. Appl. Anal. 2008 1 - 10, 2008. https://doi.org/10.1155/2008/360517

Information

Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1149.11011
MathSciNet: MR2411043
Digital Object Identifier: 10.1155/2008/360517

Rights: Copyright © 2008 Hindawi

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