| EPSRC Reference: |
EP/E012590/1 |
| Title: |
Descent and the Divisibility of Elliptic Divisibility Sequences |
| Principal Investigator: |
Everest, Professor GR |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of East Anglia |
| Scheme: |
Standard Research |
| Starts: |
01 October 2006 |
Ends: |
30 September 2008 |
Value (£): |
175,419
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Logic & Combinatorics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The theory of elliptic curves brings about a fascinating overlap between the classical areas of Geometry and Arithmetic. In this proposal, we study the typical factorization of terms of an integer sequence that are generated by simple geometric operations from a starting point on a simple plane curve, called an elliptic curve. The methods build upon techniques developed over many years in the arithmetic of elliptic curves. We expect our results will be applicable in the area of overlap between Number Theory and Logic, specifically the solvability of Diophantine Equations.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.uea.ac.uk |