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.