Title: Powers in products of terms of Pell's and Pell-Lucas Sequences
Speaker: Prof Shanta Laishram Indian Statistical Institute Delhi
Date: 12 February 2014
Time: 3:00 - 4:00 p.m.
Venue: Lecture Hall I, Department of Mathematics

It is known that there are only finitely many perfect powers in non degenerate binary recurrence sequences. However explicitly finding them is an interesting and a difficult problem for binary recurrence sequences. A recent breakthrough result of Bugeaud, Mignotte and Siksek states that Fibonacci sequences (F_n) given by F_0 = 0; F_1 = 1 and F_{n+2} = F_{n+1} + F_n for n >= 0 are perfect powers only for F_0 = 0; F_1 = 1; F_2 = 1; F_6 = 8 and F_12 = 144.


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