A Simple Counterexample to Havil's "Reformulation" of the Riemann Hypothesis
Number Theory
2012-05-09 v3 General Mathematics
History and Overview
Abstract
This is an elementary note. It corrects a mistake in the reformulation of the Riemann Hypothesis in J. Havil's book Gamma: Exploring Euler's Constant.
Cite
@article{arxiv.0706.2840,
title = {A Simple Counterexample to Havil's "Reformulation" of the Riemann Hypothesis},
author = {Jonathan Sondow},
journal= {arXiv preprint arXiv:0706.2840},
year = {2012}
}
Comments
Expanded from 2 to 7 pages, new title, added: exposition of the RH and the alternating zeta function, proof that the corrected form of Havil's conjecture is a true reformulation of the RH, 4 references, and Acknowledgments