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Trần Hùng Cường, Yongdo Lim, Nguyễn Đông Yên, On a solution method in indefinite quadratic programming under linear constraints, Optimization, Volume 73, 2024 - Issue 4, Pages 1087-1112 (SCI-E, Scopus) .
Yongdo Lim, Hoàng Ngọc Tuấn, Nguyễn Đông Yên, Local Error Bounds for Affine Variational Inequalities on Hilbert Spaces,, Numerical Functional Analysis and Optimization, Volume 45, 2024, Issue 1, Pages 1-15 (SCI-E, Scopus) .
Đỗ Thái Dương, Nguyễn Văn Thiện, On the finite energy classes of quaternionic plurisubharmonic functions, Journal of Mathematical Analysis and Applications, Volume 541, Issue 1, January 2025, 128736 (SCI-E, Scopus) .

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 $F_n$ and $L_n$ 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 $n\mapsto \gcd(F_n+s, F_{n+k}+t)$ and $n\mapsto \gcd(L_n+s, L_{n+k}+t)$ are unbounded. Some results on Pell, Pell -- Lucas, Balancing or Lucas -- Balancing numbers are also presented.