On p-adic Analytic Functions Associated with the Generalized Euler Numbers

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概要

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• The main purpose of this paper is to study p-adic interpolations for the generalized Euler numbers, especially in the case where the usual method of using the Koblitz measure is not valid as it stands. We show that even in this special case, if any appropriate conditions are satisfied, there exists a p-adic meromorphic function having the same interpolation property as usual. After constructing the function, we calculate the value at s=1 and deduce an analogue of Leopoldt's formula for the Kubota-Leopoldt p-adic L-functions.

• 都城工業高等専門学校の論文

著者

• Kazuhito Kozuka

  都城工業高等専門学校

関連論文

• On a Generalization of the Higher-order p-adic Dedekind Sums
• On p-adic Analytic Functions Associated with the Generalized Euler Numbers

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