ARC Future Fellowships - Grant ID: FT160100094

Funding Activity

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Funded Activity Summary

Explicit methods in number theory: Computation, theory and application. This project aims to use explicit estimates to unify three problems in number theory: primitive roots, Diophantine quintuples, and linear independence of zeroes of the Riemann zeta-function. It will use computational and analytic number theory to reduce the quintuples problem to a soluble level. Pursuing relations between the zeta zeroes will overhaul many current results. This project will apply its findings about primitive roots to signal processing, cryptography and cybersecurity.

Funded Activity Details

Start Date: 25-12-2016

End Date: 23-08-2021

Funding Scheme: ARC Future Fellowships

Funding Amount: $652,000.00

Funder: Australian Research Council