Results 71 to 80 of about 1,500 (185)

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

On an analytical study of the generalized Fibonacci polynomials [PDF]

Notes on Number Theory and Discrete Mathematics
In this work, we presented an analytical study of the generalized Fibonacci polynomial of order r≥2, by using properties of the fundamental system associated with the generalized Fibonacci polynomial.
Leandro Rocha, Gabriel F. Pinheiro, Elen V. P. Spreafico   +2 more
doaj   +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

$\mathcal{H}$-Nacci Sequence and Its Role in Virus Mutation

Mathematics
In this research, we proposed a new concept called as the H-Nacci sequence. The H-Nacci sequence (Fibonacci sequences of length h) is a collection of numbers developed from the coefficients of the generalized m-th Fibonacci equation.
Muflih Alhazmi, Rexma Sherine Venchislas, Gerly Thaniel Gnanamuthu, Chellamani Perumal, Shreefa O. Hilali, Mashaer Alsaeedi, Avinash Natarajan, Britto Antony Xavier Gnanaprakasam   +7 more
doaj   +1 more source

Accelerations of Generalized Fibonacci Sequences

The Fibonacci Quarterly, 2011
In this paper we study how to accelerate the convergence of the ratios (x_n) of generalized Fibonacci sequences. In particular, we provide recurrent formulas in order to generate subsequences (x_{g_n}) for every linear recurrent sequence (g_n) of order 2.
ABRATE, MARCO, BARBERO, STEFANO, Cerruti U, MURRU, NADIR   +3 more
openaire   +4 more sources

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

Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence

Communications in Advanced Mathematical Sciences
The focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source

A Systematic Review of Fibonacci Sequence in the Human Abdominal Wall: Facts and Reality. [PDF]

Cureus, 2022
Ravindra C, Rengan V, B R.
europepmc   +1 more source

New Fibonacci-type pulsated sequences. Part 2 [PDF]

Notes on Number Theory and Discrete Mathematics
A new Fibonacci sequence from a pulsated type is introduced. The explicit form of its members is given.
Lilija Atanassova, Velin Andonov
doaj   +1 more source

On the Fibonacci and the Generalized Fibonacci Sequence

Journal of Nepal Mathematical Society
Fibonacci numbers and their sequence are found abundantly in nature. There is a close relation among the Golden, Fibonacci, and Lucas ratios. Such ratios are inherent to design, architecture, construction, and even to the beauty of different natural and manmade solid objects.
openaire   +1 more source