A Quadratic Relation in the Bernoulli Numbers

  • Madeline Beals-Reid Ward Melville High School
Keywords: Bernoulli numbers; Bernoulli polynomials

Abstract

We present a proof of an identity involving the Bernoulli numbers. This identity has been proved, over the centuries, by many different methods. Our method uses a technique from over a millennium ago for finding polynomial expressions for sums of powers of integers.

Published
2023-01-24
How to Cite
Beals-Reid, M. (2023). A Quadratic Relation in the Bernoulli Numbers. The PUMP Journal of Undergraduate Research, 6, 29-39. https://doi.org/10.46787/pump.v6i0.3549