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A Short Disproof of the Riemann Hypothesis

Abstract

The Riemann Hypothesis is one of the most important unsolved problems in Mathematics and its validity will have a great consequence on the precise calculation of the number of primes. Riemann developed an explicit formula relating the number of primes with the hypothesized non-trivial zeros of the Riemann zeta function. Riemann hypothesis states that all the non-trivial zeros of the zeta function have real part equal to one-half. Despite many attempts to solve it for about 150 years, no one have so far succeeded. The Riemann hypothesis is based on the existence of the zeros of the zeta function. If it can be shown that such zeros do not exist, then the Riemann Hypothesis is false or not valid.

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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