3 papers
math.CO2026
On Some Properties of Matrices with Entries Defined by Products of -Fibonacci and -Lucas Numbers
Pedro Fernando Fernández Espinosa, Maritza Liliana Arciniegas Torres, Camilo Andrés Acevedo Cadena
In this paper, we study a structured family of matrices whose entries are given by products of -Fibonacci and -Lucas numbers. For this family, we obtain explicit and unified…
math.CO2025
On the Number of Exceptional Pairs Over a Class of Nakayama Algebras
Pedro Fernando Fernández Espinosa, David Reynoso-Mercado
In this paper some combinatorial and homological tools are used to describe and give an explicit formula for the number of exceptional pairs (exceptional sequences of length two) f…
math.NT2025
Properties of Multidimensional Vector Zeckendorf Representations
Ivan Bortnovskyi, June Duvivier, Pedro Espinosa +7
Zeckendorf's Theorem says that for all , every nonnegative integer has a unique -Zeckendorf representation as a sum of distinct -bonacci numbers, where no conse…