The continuing story of zeta

Everest, G.; Röttger, C.; Ward, T.

Abstract

We show how the Binomial Theorem can be used to continue the Riemann Zeta Function to the left hand half-plane. This method yields the explicit values of the function at non-positive integers in terms of the Bernoulli numbers.

Citation

Everest, G., Röttger, C., & Ward, T. (2009). The continuing story of zeta. Mathematical Intelligencer, 31(3), 13-17. https://doi.org/10.1007/s00283-009-9053-y

• Journal Article Type: Article
• Publication Date: Jun 1, 2009
• Deposit Date: Oct 12, 2012
• Publicly Available Date: Oct 23, 2012
• Journal: Mathematical Intelligencer
• Print ISSN: 0343-6993
• Electronic ISSN: 1866-7414
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 31
• Issue: 3
• Pages: 13-17
• DOI: https://doi.org/10.1007/s00283-009-9053-y
• Public URL: https://durham-repository.worktribe.com/output/1502602