Results 61 to 70 of about 228 (120)

Hausdorff dimension of double‐base expansions and binary shifts with a hole

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract For two real bases q0,q1>1$q_0, q_1 > 1$, a binary sequence i1i2⋯∈{0,1}∞$i_1 i_2 \cdots \in \lbrace 0,1\rbrace ^\infty$ is the (q0,q1)$(q_0,q_1)$‐expansion of the number πq0,q1(i1i2⋯)=∑k=1∞ikqi1⋯qik.$$\begin{equation*} \pi _{q_0,q_1}(i_1 i_2 \cdots) = \sum _{k=1}^\infty \frac{i_k}{q_{i_1} \cdots q_{i_k}}.
Jian Lu, Wolfgang Steiner, Yuru Zou
wiley   +1 more source

Some identities involving (p,q)-Fibonacci and Lucas quaternions

, 2020
In this study, we firstly examined the Horadam quaternions defined and studied by Halici and Karataş. Then, we used the Binet's formula to show some properties of the (p,q)-Fibonacci and Lucas quaternions. We also give some important identities including
Cerda-Morales, Gamaliel
core   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

Zarankiewicz bounds from distal regularity lemma

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Since Kővári, Sós and Turán proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to improve these bounds, and some have done so by restricting to particular classes of graphs. In 2017, Fox, Pach, Sheffer, Suk and Zahl proved better bounds for semialgebraic binary relations, and this work was extended by Do in
Mervyn Tong
wiley   +1 more source

Quaternion algebras and the generalized Fibonacci-Lucas quaternions

, 2015
In this paper, we introduce the generalized Fibonacci-Lucas quaternions and we prove that the set of these elements is an order,in the sense of ring theory, of a quaternion algebra. Moreover, we investigate some properties of these elements.
Flaut, Cristina, Savin, Diana
openaire   +2 more sources

Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Riordan arrays include many important examples of matrices. Here we consider the ballot table and the Fibonacci matrix. For finite truncations of these Riordan arrays, we obtain bidiagonal decompositions. Using them, algorithms to solve key linear algebra problems for ballot tables and Fibonacci matrices with high relative accuracy are derived.
Jorge Ballarín, Jorge Delgado, J. M. Peña   +2 more
wiley   +1 more source

The generalized bi-periodic fibonacci quaternions and octonions

, 2019
In this paper, we present a further generalization of the bi-periodic Fibonacci quaternions and octonions. We give the generating function, the Binet formula, and some basic properties of these quaternions and octonions.
Tan, Elif, Yılmaz, Semih, Şahin, Murat
core   +1 more source

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini-Type Identities

Journal of Mathematics
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r-split quaternions and the Horadam sq,r-split quaternions, which ...
İskender Öztürk, Hasan Çakır
doaj   +1 more source

Some Remarks Regarding Special Elements in Algebras Obtained by the Cayley–Dickson Process over Z_p

Axioms
In this paper, we provide some properties of k-potent elements in algebras obtained by the Cayley–Dickson process over Zp. Moreover, we find a structure of nonunitary ring over Fibonacci quaternions over Z3 and we present a method to encrypt plain texts,
Cristina Flaut, Andreea Baias
doaj   +1 more source

Uma abordagem dos quaternions de Fibonacci com enfoque na teoria das situações didáticas [PDF]

, 2021
Este trabalho apresenta uma abordagem dos quaternions de Fibonacci com enfoque na Teoria das Situações Didáticas (TSD). Para isso, foram concebidas situações-problema, cujo campo epistêmico-matemático é o modelo de Fibonacci e sua complexificação a ...
Rodrigues, Rannyelly
core