3 papers
math.NT2026
Tribonacci properties of identities, matrices, and determinants
Takao Komatsu, Tengfei Shen
This paper considers the properties of Tribonacci numbers on identities, matrices, and determinants. In the first front part, we obtain several symmetric identities of Tribonacci n…
math.NT2026
Fibonomial determinants
Takao Komatsu
In this paper, we find several determinants expressing the Fibonomial coefficients. We also give the generating functions, Vandermonde identity, and continued fractions about Fibon…
math.NT2025
Congruence properties of Lehmer-Euler numbers
Takao Komatsu, Guo-Dong Liu
Certain generalization of Euler numbers was defined in 1935 by Lehmer using cubic roots of unity, as a natural generalization of Bernoulli and Euler numbers. In this paper, Lehmer'…