2006arXiv (Cornell University)Open access

On p-adic q-l-functions and sums of powers

Taekyun Kim

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Abstract

The purpose of this paper is to construct p-adic analytically continued function which interpolates q-Euler numbers at negative integer Finally, we give an explicit p-adic expansion as a power series in n.

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What this paper is about

The purpose of this paper is to construct p-adic analytically continued function which interpolates q-Euler numbers at negative integer Finally, we give an explicit p-adic expansion as a power series in n.

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Available abstract

The purpose of this paper is to construct p-adic analytically continued function which interpolates q-Euler numbers at negative integer Finally, we give an explicit p-adic expansion as a power series in n.

Key concepts: Mathematics, Pure mathematics, Combinatorics

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