We present an example of a particularly simple discrete random variable with surprisingly rich connections with calculus (p-series, specifically zeta values, and recursive integral calculations) and combinatorics (the binomial coefficients which will appear alongside the zeta values in the expansion of the moment generating function). We believe that our example could be used in the undergraduate probability class, as a bridge-building experience between probability theory and the traditionally related areas of calculus and combinatorics.

random variables, zeta function, moment generating function, combinatorics

Received: January 7, 2025; Accepted: February 22, 2025; Published: April 14, 2025

How to cite this article: Mihai Caragiu and Mellita Caragiu, A random variable with zeta function connections, Far East Journal of Mathematical Education 27(1) (2025), 21-33. https://doi.org/10.17654/0973563125004

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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