Abstract
The Riemann hypothesis has endured for more than a century as a widely believed conjecture. There are many reasons why it has endured, and captured the imagination of mathematicians worldwide. In this chapter we will explore the most direct form of evidence for the Riemann hypothesis: empirical evidence. Arguments for the Riemann hypothesis often include its widespread ramifications and appeals to mathematical beauty; however, we also have a large corpus of hard facts. With the advent of powerful computational tools over the last century, mathematicians have increasingly turned to computational evidence to support conjectures, and the Riemann hypothesis is no exception.
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© 2008 Springer Science+Business Media, LLC
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Borwein, P., Choi, S., Rooney, B., Weirathmueller, A. (2008). Empirical Evidence. In: Borwein, P., Choi, S., Rooney, B., Weirathmueller, A. (eds) The Riemann Hypothesis. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-72126-2_4
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DOI: https://doi.org/10.1007/978-0-387-72126-2_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-72125-5
Online ISBN: 978-0-387-72126-2
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