p-adic q-expansion of alternating sums of powers

2006/09/04 by Taekyun Kim, Kim, Taekyun
Mathematics · #11B68 #11S80 #11m98 #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80 #msc:11m98

paper · pdf · doi:10.48550/arxiv.math/0609086

12 pages

arxiv created 2006/09/04 · openalex publication_date 2006/09/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will study p-adic q-expansion of alternating sums of powers. From these properties, we derive some interesting properties related to p-adic q-expansion of alternating sums of powers

Citations

• p-adic l-functions and sums of powers
• A note on the alternating sums of powers of consecutive q-integers

Related

• On p-adic q-l-functions and sums of powers, II
• On p-adic q-l-functions and sums of powers
• p-adic l-functions and sums of powers
• A note on the alternating sums of powers of consecutive q-integers
• A note on the alternating sums of powers of consecutive integers