Cover Image

Tribonacci properties of identities, matrices, and determinants

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Komatsu, Takao, Shen, Tengfei
Format:	Preprint
Published:	2026
Subjects:	Number Theory Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Fibonomial determinants
by: Komatsu, Takao
Published: (2026)

$p$-numerical semigroups with $p$-symmetric properties, II
by: Komatsu, Takao
Published: (2024)

Some explicit values of a $q$-multiple zeta-star function at roots of unity
by: Komatsu, Takao
Published: (2025)

The Frobenius number for shifted geometric sequences associated with the number of solutions
by: Komatsu, Takao
Published: (2022)

Some explicit values of a $q$-multiple zeta function at roots of unity
by: Komatsu, Takao
Published: (2025)

Congruence properties of Lehmer-Euler numbers
by: Komatsu, Takao, et al.
Published: (2025)

$p$-numerical semigroups of Pell triples
by: Komatsu, Takao, et al.
Published: (2023)

Some explicit values of a $q$-multiple zeta function whose denominator power is not uniform
by: Bilu, Yuri, et al.
Published: (2025)

Frobenius numbers associated with Diophantine triples of $x^2+y^2=z^r$ (extended version)
by: Komatsu, Takao, et al.
Published: (2024)

On the determinants of matrices with elements from arbitrary sets
by: Shkredov, Ilya D., et al.
Published: (2024)

Touchard's identity and a detailed determination of the radius of convergence of the Catalan series
by: Pain, Jean-Christophe
Published: (2026)

Quantative universality for cokernels of matrices with symmetries
by: Shen, Jiahe
Published: (2026)

Eigenvalues of $p$-adic random matrices
by: Shen, Jiahe, et al.
Published: (2026)

A generalization of Franklin's partition identity and a Beck-type companion identity
by: Gray, Gabriel, et al.
Published: (2024)

A new trigonometric identity with applications
by: Sun, Zhi-Wei, et al.
Published: (2019)

Modular Nahm sums for symmetrizable matrices of indices $({2,\ldots, 2},1)$ and $({1,\ldots, 1},2)$
by: Du, Julia Q. D., et al.
Published: (2026)

Hodge-Newton indecomposability and a combinatorial identity
by: Lim, Dong Gyu
Published: (2023)

On the determination of $p$-Frobenius and related numbers using the $p$-Apéry set
by: Komatsu, Takao
Published: (2021)

Integral representations of Catalan numbers using Touchard-like identities
by: Pain, Jean-Christophe
Published: (2024)

An identity relating Catalan numbers to tangent numbers with arithmetic applications
by: Zhao, Tongyuan, et al.
Published: (2025)

Non-standard Zeckendorf decompositions; or, Tribonacci within Fibonacci
by: Anders, Katie, et al.
Published: (2026)

Joint distribution of the cokernels of random $p$-adic matrices II
by: Jung, Jiwan, et al.
Published: (2023)

An identity relating $n$-nacci numbers, partitions, and products of binomial coefficients
by: Dragutinović, Dušan
Published: (2026)

A proof of the Göllnitz-Gordon-Andrews identities via commutative algebra
by: Barman, Rupam, et al.
Published: (2026)

$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra
by: Ghosh, Alapan, et al.
Published: (2026)

Combinatorial identities from an inhomogeneous Ising chain
by: Jay, Jessica, et al.
Published: (2024)

Distribution of the cokernels of determinantal row-sparse matrices
by: Lee, Jungin, et al.
Published: (2025)

On some determinant conjectures
by: Zhu, Ze-Hua, et al.
Published: (2024)

An example of $A_2$ Rogers-Ramanujan bipartition identities of level 3
by: Tsuchioka, Shunsuke
Published: (2022)

Hankel determinants for convolution powers of Motzkin numbers
by: Wang, Ying, et al.
Published: (2025)

Random $p$-adic matrices with fixed zero entries and the Cohen--Lenstra distribution
by: Kang, Dong Yeap, et al.
Published: (2024)

A lower bound for the number of pinned angles determined by a Cartesian product set
by: Roche-Newton, Oliver
Published: (2024)

On some multiplicative properties of large difference sets
by: Shkredov, Ilya D.
Published: (2023)

Arithmetic properties of generalized Delannoy polynomials and Schröder polynomials
by: Li, Lin-Yue, et al.
Published: (2025)

Vanishing properties of Fourier coefficients of holomorphic $η$-quotients
by: Bringmann, Kathrin, et al.
Published: (2024)

Finite $q$-multiple harmonic sums on $2-\cdots-2,1-\cdots-1$ indices
by: Dong, Zikang, et al.
Published: (2026)

The $Δ$ property: a bridge between split graphs and Number Theory
by: Schvöllner, Victor N.
Published: (2026)

Arithmetic properties for generalized cubic partitions and overpartitions modulo a prime
by: Amdeberhan, Tewodros, et al.
Published: (2024)

Explicit determination of a class of permutation rational functions in any characteristic
by: Li, Yi, et al.
Published: (2026)

Edge Zeta Functions and Eigenvalues for Buildings of Finite Groups of Lie Type
by: Shen, Jianhao
Published: (2024)