Abstract
The consequences of a proof of the Riemann hypothesis in elementary number theory are apparent, as are the connections to applications such as cryptography. Aside from these considerations, a large body of theory has been built on the Riemann hypothesis. In this chapter we consider some of the more important statements that become true should a proof of the Riemann hypothesis be found.
Right now, when we tackle problems without knowing the truth of the Riemann hypothesis, it’s as if we have a screwdriver. But when we have it, it’ll be more like a bulldozer [86].
Peter Sarnak
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© 2008 Springer Science+Business Media, LLC
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Borwein, P., Choi, S., Rooney, B., Weirathmueller, A. (2008). Assuming the Riemann Hypothesis and Its Extensions …. 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_7
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DOI: https://doi.org/10.1007/978-0-387-72126-2_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-72125-5
Online ISBN: 978-0-387-72126-2
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