Abstract
It is common in mathematics to generalize hard problems to even more difficult ones. Sometimes this is productive and sometimes not. However, in the Riemann hypothesis case this is a valuable enterprise that allows us to see a larger picture. These stronger forms of the Riemann hypothesis allow the proof of many conditional results that appear to be plausible (see Sections 11.1 and 11.2) and add to the heuristic evidence for the Riemann hypothesis.
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© 2008 Springer Science+Business Media, LLC
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Borwein, P., Choi, S., Rooney, B., Weirathmueller, A. (2008). Extensions of the Riemann Hypothesis. 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_6
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DOI: https://doi.org/10.1007/978-0-387-72126-2_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-72125-5
Online ISBN: 978-0-387-72126-2
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