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- W183732888 abstract "While studying the Riemann zeta-function, observing some graphs related to it and looking for some relation between the Riemann hypothesis and the absolute value of the Riemann zeta function, we noted an interesting relationship between those values, namely, that in the strip 0 5040, where γ is Euler’s constant. Inspired by this inequality, we introduce a sequence of numbers, that we call extremely abundant, and show that the Riemann hypothesis is true if and only if there are infinitely many of these numbers. Moreover, we investigate some of their properties and structure, as well as some properties of superabundant and colossally abundant numbers. Finally we introduce two other sets of numbers, related to extremely abundant numbers, that show how subtle the Riemann hypothesis is." @default.
- W183732888 created "2016-06-24" @default.
- W183732888 creator A5085269026 @default.
- W183732888 date "2013-06-11" @default.
- W183732888 modified "2023-09-27" @default.
- W183732888 title "A class of Equivalent Problems Related to the Riemann Hypothesis" @default.
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- W183732888 hasPublicationYear "2013" @default.
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