A Quadratic Relation in the Bernoulli Numbers

Authors

  • Madeline Beals-Reid Ward Melville High School

DOI:

https://doi.org/10.46787/pump.v6i0.3549

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.

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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

Issue

Vol. 6 (2023): PUMP Journal of Undergraduate Research

Section

Articles

License

The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.