Results 121 to 130 of about 21,260 (290)

Geometric aspects of Lucas sequences, I

, 2018
application/pdfWe present a way of viewing Lucas sequences in the framework of group scheme theory. This enables us to treat the Lucas sequences from a geometric and functorial viewpoint, which was suggested by Laxton ⟨On groups of linear recurrences, I⟩
23330, SUWA, Noriyuki
core  

Primes in shifted sums of Lucas sequences

Integers, 2017
See the abstract in the attached pdf.
Lenny Jones, Lawrence Somer
openaire   +3 more sources

On New Sequences of $p$-Binomial and Catalan Transforms of the $k$-Mersenne Numbers and Associated Generating Functions

Universal Journal of Mathematics and Applications
In this work, we investigate the binomial transforms and Catalan transform of the $k$-Mersenne and $k$-Mersenne-Lucas numbers and examine the new integer sequences.
Kalika Prasad, Hrishikesh Mahato, Ritanjali Mohanty, Munesh Kumari   +3 more
doaj   +1 more source

REPRESENTATION OF SOLUTIONS OF PELL EQUATIONS USING LUCAS SEQUENCES [PDF]

, 2003
We consider classes of Pell equations of the form x²−dy²=c where d=a²±4 or d=a²±1 and c=±4 or c=±1. We show that all the solutions are expressible in terms of Lucas sequences and we give the Lucas sequences which solve the equations ...
James P. Jones, Jones, James P.
core  

The Generalized Order-k Lucas Sequences in Finite Groups

Journal of Applied Mathematics, 2012
We study the generalized order-k Lucas sequences modulo m. Also, we define the ith generalized order-k Lucas orbit lAi,{α1,α2,…,αk-1}(G) with respect to the generating set A and the constants α1,α2, and αk-1 for a finite group G=〈A〉.
Ömür Deveci, Erdal Karaduman
doaj   +1 more source

Altered sequences of second powers of the n.Fibonacci and Lucas numbers and r-consecutive greatest common divisoder sequences

, 2023
Yüksek Lisans TeziBu çalışma beş bölümden oluşmaktadır. Birinci bölümde ana sonuçlarda kullanılacak olan bölünebilme ve en büyük ortak bölen özellikleri ile Fibonacci ve Lucas dizileri hakkındaki literatürdeki bilinen özelliklerinden bahsedilmektedir.
Kankal, Emre
core  

Late‐Stage Functionalization of Peptides on the Solid Phase

Angewandte Chemie International Edition, EarlyView.
Peptide modifications are essential to control pharmacodynamic and pharmacokinetic properties of peptide drugs. Consequently, strategies that allow for efficient and rapid incorporation of non‐canonical modifications into peptides in parallel formats are highly sought after.
Marius Werner, Truc Lam Pham, Franziska Thomas   +2 more
wiley   +1 more source

Fibonacci Cartan and Lucas Cartan numbers

Open Mathematics
This study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
doaj   +1 more source

Spatial Evolution of Coke in ZSM‐5 Catalysts During Methanol‐to‐Hydrocarbons Conversion Revealed by In Situ X‐Ray Photoelectron Spectroscopy

Angewandte Chemie International Edition, EarlyView.
Coking is the central source of deactivation of zeolite catalysts. Using in situ XPS along with complementary methods, we identify differences in the formation kinetics and composition of surface coke on industrially relevant ZSM‐5 catalysts during MTH conversion, demonstrating the strong potential of this technique for studying catalyst deactivation ...
Luca Artiglia, Hannes Frey, Loïc Bénariac‐Doumal, Sung Sik Lee, Przemyslaw Rzepka, Jeroen A. van Bokhoven, Vladimir Paunović   +6 more
wiley   +1 more source

Sustainable Palm Oil Extraction and Trends in the Use of Green Technologies: State‐of‐the‐Art and Future Directions

Journal of the American Oil Chemists' Society, EarlyView.
ABSTRACT Palm oil, which is extracted from the mesocarp of the fruit of the Elaeis guineensis Jacq. palm tree, is the most widely produced vegetable oil in the world. The extraction of this substance typically utilizes the conventional pressing method, a technique that is advantageous due to its low operating cost and simplified process.
Constantino Lucas Queta, Alessandra Lopes de Oliveira, Aline Silva Mello Cesar   +2 more
wiley   +1 more source