GCD of sums of k consecutive Fibonacci, Lucas, and generalized Fibonacci numbers
Channel: Aba Math
Date: 2022-08-04

Dr. aBa gave this talk in Sarajevo, Bosnia and Hercegovina, on July 28, 2022, at the 20th International Conference on Fibonacci Numbers and Their Applications from July 25--29, 2022 (see http://fibonacci20.pmf.unsa.ba/index.php for conference website). The abstract for the talk is available at https://people.uwec.edu/mbirika/Abstract%20-%20Fibonacci_Conference_2022_Sarajevo.pdf.

The talk is based on a paper written by Dan Guyer and myself. It is now published in the Journal of Integer Sequences and available at https://cs.uwaterloo.ca/journals/JIS/VOL24/Mbirika/mb5.pdf. An arXiv version is also available at https://arxiv.org/pdf/2104.12262.pdf. The latter version is almost identical to the published version, however, it adds a Table of Contents and has a theorems/lemmas/propositions/etc. numbered by section (unlike the published version) and hence this arXiv version may be easier to navigate.