Name
Title | ||
|---|---|---|
A Proof of Symmetry of the Power Sum Polynomials Using a Novel Bernoulli Number Identity. |
Abstract | ||
|---|---|---|
The problem of finding formulas for sums of powers of natural numbers has been of interest to mathematicians for many centuries. Among these is Faulhabers well-known formula expressing the power sums as polynomials whose coefficients involve Bernoulli numbers. In this paper we give an elementary proof that the sum of p-th powers of the first n natural numbers can be expressed as a polynomial in n of degree p + 1. We also prove a novel identity involving Bernoulli numbers and use it to show symmetry of this polynomial. |
Year | Venue | DocType |
|---|---|---|
2017 | JOURNAL OF INTEGER SEQUENCES | Journal |
Volume | Issue | ISSN |
20 | 6 | 1530-7638 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nicholas J. Newsome | 1 | 0 | 0.34 |
| Maria S. Nogin | 2 | 0 | 0.34 |
| Adnan H. Sabuwala | 3 | 0 | 0.34 |