Results 61 to 70 of about 122 (99)

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

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

Copper ratio obtained by generalizing the Fibonacci sequence

AIP Advances
In this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
doaj   +1 more source

On the Pseudo-Fibonacci and Pseudo-Lucas Quaternions

Electronic Journal of Mathematical Analysis and Applications
Summary: There are a lot of quaternion numbers that are related to the Fibonacci and Lucas numbers or their generalizations have been described and extensively explored. The coefficients of these quaternions have been chosen from terms of Fibonacci and Lucas numbers.
Dişkaya, Orhan, Menken, Hamza
openaire   +2 more sources

q-Fibonacci bicomplex quaternions

, 2021
In the paper, we define the $q$-Fibonacci bicomplex quaternions and the $q$-Lucas bicomplex quaternions, respectively. Then, we give some algebraic properties of $q$-Fibonacci bicomplex quaternions and the $q$-Lucas bicomplex quaternions.
openaire   +4 more sources

Circular-hyperbolic Fibonacci quaternions [PDF]

Notes on Number Theory and Discrete Mathematics, 2020
openaire   +2 more sources

ON FIBONACCI AND LUCAS ELLIPTIC QUATERNIONS

Journal of Science and Arts
This paper presents a novel class of quaternions derived from the concept of elliptic quaternions. Specifically, we establish the Fibonacci and Lucas elliptic quaternions, serving as a natural extension of the Fibonacci and Lucas quaternions. Our study delves into the fundamental properties of these sequences, including recurrence relations, generating
ELIF TAN, TUĞBA YAMAN, ISMAIL GÖK
openaire   +1 more source

A molecular-structure hypothesis. [PDF]

Int J Mol Sci, 2010
Boeyens JC.
europepmc   +1 more source

Bicomplex k-Fibonacci quaternions

, 2018
In this paper, bicomplex k-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex k-Fibonacci quaternions which are connected with bicomplex numbers and k-Fibonacci numbers are investigated. Furthermore, the Honsberger identity, the d'Ocagne's identity, Binet's formula, Cassini's identity, Catalan's identity for these ...
openaire   +2 more sources