Formulas for Odd Zeta Values and Powers of Pi

Published:
February 22, 2011

Marc Chamberland and Patrick Lopatto (a Grinnell High School student) published the paper "Formulas for Odd Zeta Values and Powers of Pi" which appeared in the electronic Journal of Integer Sequences (Vol. 14, Issue 2, article 11.2.5). Values for the Riemann zeta function at odd values greater than one do not seem to have a closed form. A decade ago, the Canadian mathematician Simon Plouffe experimentally found some formulas to represent these numbers using quickly converging infinite series. This paper finds and proves such formulas for all odd values.  

We use cookies to enable essential services and functionality on our site, enhance your user experience, provide better service through personalized content, collect data on how visitors interact with our site, and enable advertising services.

To accept the use of cookies and continue on to the site, click "I Agree." For more information about our use of cookies and how to opt out, please refer to our website privacy policy.