Zeroes of Linear Integer Sequences
event
Tuesday,
November 12,
2024
access_time
3:00pm (CST)
room
PHSC 809
Abstract: A linear integer sequence is a sequence of numbers where each term is a linear combination of previous terms. For example, the Fibonacci sequence. A fundamental result in the study of linear recurrence sequences is the Skolem-Mahler-Lech theorem. This theorem states that the set of indices n for which the nth term of a linear recurrence sequence is zero is a finite union of arithmetic progressions. I will try to give a proof of this theorem by using p-adic numbers. No previous knowledge is assumed.
For more information on this event, please contact
Sayantan Santra.