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

2006/05/16 by Taekyun Kim, Kim, Taekyun
Mathematics · #11B68 #11S80 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.math/0605447

openalex publication_date 2006/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• q-Volkenborn Integration and Its Applications

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• On p-adic q-l-functions and sums of powers, II
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