More on Faulhaber's theorem for sums of powers of integers

2020/04/16 by José L. Cereceda, Cereceda, José L.
Mathematics · #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2004.07689

openalex publication_date 2020/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we consider the theorem established in arXiv:1912.07171 concerning the sums of powers of the first n positive integers, S_k = 1^k + 2^k + ⋯ + n^k, and show that it can be used to demonstrate the classical theorem of Faulhaber for both cases of odd and even k.

Citations

• On the sum of k-th powers in terms of earlier sums

Related

• On the sum of k-th powers in terms of earlier sums
• Faulhaber's Theorem on Power Sums
• Sums of powers of integers via differentiation
• A remark on an explicit formula for the sums of powers of integers
• Sums of powers via integration