Seminar by Dr. Sudhansu Sekhar Rout

Speaker: Dr. Sudhansu Sekhar Rout
Date: 20th March, 2019 (Wednesday);
Time: 4:30 PM;
Venue: Committee Room, Department of Mathematics.

Title: Sums of $S$-units in recurrence sequences

Abstract: In this talk, we give various finiteness results concerning terms of recurrence sequences $U_n$ representable as a sum of $S$-units with a fixed number of terms. First, we discuss that under certain (necessary) conditions, the number of indices $n$ for which $U_n$ allows such a representation is finite and can be bounded in terms of the
parameters involved. In this generality, our result is ineffective, i.e. we cannot bound the size of the exceptional indices. We also give an effective result, under some stronger assumptions.