The Greatest Common Divisor of Shifted Fibonacci Numbers and Shifted Lucas Numbers.

Người báo cáo: Lưu Bá Thắng (Đại học Sư phạm Hà Nội)

Time: 9:30 -- 11:00, November 22, 2023.
Venue: Room 612, A6, Institute of Mathematics, VAST
Abstract: Let Fn and Ln denote the n'th Fibonacci number and Lucas number respectively, and let k be a positive integer. We study necessary and sufficient conditions on s and t so that the functions ngcd(Fn+s,Fn+k+t) and ngcd(Ln+s,Ln+k+t) are unbounded. Some results on Pell, Pell -- Lucas, Balancing or Lucas -- Balancing numbers are also presented.