Discovery Projects - Grant ID: DP160100932

Funding Activity

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Funded Activity Summary

Verifying the Riemann hypothesis to large heights: theory and applications. This project aims to verify the Riemann hypothesis to a record height and apply this verification to the distribution of prime numbers. The Riemann hypothesis (an open problem for 150 years) is ubiquitous in analytic number theory and prevalent in many other areas of mathematics. This project plans to use state-of-the-art computational hardware and the mathematical and algorithmic expertise of the investigators to verify the Riemann hypothesis several orders of magnitude further than what is currently known. A secondary aim is to apply this new verification to a multitude of results in analytic number theory: this would provide future researchers with vastly superior results.

Funded Activity Details

Start Date: 08-06-2016

End Date: 01-11-2020

Funding Scheme: Discovery Projects

Funding Amount: $343,101.00

Funder: Australian Research Council