Vandita Patel (Manchester) - Shifted powers in the Fibonacci sequence
| Dates: | 24 March 2020 |
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| Times: | 15:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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| Speaker: | Vandita Patel |
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Abstract: The explicit determination of perfect powers in (shifted) non-degenerate, integer, binary linear recurrence sequences has only been achieved in a handful of cases. In this talk, we combine bounds for linear forms in logarithms with results from the modularity of elliptic curves defined over totally real fields to explicitly determine all shifted powers by two in the Fibonacci sequence. This is joint work with Mike Bennett (UBC) and Samir Siksek (Warwick).
Speaker
Vandita Patel
Organisation: University of Manchester
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
