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ABC Conjecture and Riemann Hypothesis

Hassani, Mehdi (2004) ABC Conjecture and Riemann Hypothesis. Research report collection, 7 (4).

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Abstract

In this paper, we consider two great unproven problems in mathematics in the language of inequalities; ABC conjecture and Riemann hypothesis. It is shown that the Riemann hypothesis is true in some initial cases. Then we study radical function, which is contained in the heart of ABC conjecture; we find an upper bound for it by assuming Riemann hypothesis and finally by using this bound, we combine Riemann hypothesis and ABC conjecture.

Item Type: Article
Uncontrolled Keywords: primes, Riemann hypothesis, inequalities
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 17 Nov 2011 04:55
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17367
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