| EPSRC Reference: |
GR/M49588/01 |
| Title: |
PRACTICAL AND THEORETICAL ASPECTS OF ELLIPTIC DIVISIBILITY SEQUENCES |
| Principal Investigator: |
Everest, Professor GR |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
University of East Anglia |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 September 1999 |
Ends: |
31 August 2000 |
Value (£): |
38,353
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Fundamentals of Computing |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Panel History: |
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Summary on Grant Application Form |
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1. The work of Lehmer in the 1930s produced large prime numbers in a novel way. We plan to use the elliptic analogues of his basic tools to produce a new class of prime numbers. We have been successful already in a limited trial run and plan to exploit the methods in a major way. Calculations of algebraic points with small height will form an interesting by-product of our work.2. Already there exists a flourishing inter-play between arithmetic and dynamical systems. Here the underlying compact group is the torus. We have been developing an analogous theory where the underlying group is an elliptic curve. We think we are close to the heart of this research now, with the discovery of elliptic dynamical systems whose periodic point data is given by elliptic divisibility sequences and whose entropy is given by the archimedean local height on the elliptic curve.
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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 |