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Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars
AxiomsThe Horadam sequence Hn(a,b;p,q) unifies a number of well-known sequences, such as Fibonacci and Lucas sequences. We use the context-free grammars as a new tool to study Horadam sequences.
Jun-Ying Liu +3 more
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A common approach to three open problems in number theory [PDF]
Discrete Mathematics Letters, 2023 Apoloniusz Tyszka
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An Efficient Grid-Based Geocasting Scheme for Wireless Sensor Networks. [PDF]
Sensors (Basel), 2023 Wang NC +4 more
europepmc +1 more source
JEŚMANOWICZ' CONJECTURE WITH FERMAT NUMBERS
Taiwanese Journal of Mathematics, 2014 Let $a,b,c$ be relatively prime positive integers such that $a^{2}+b^{2}=c^{2}.$ In 1956, Je\'{s}manowicz conjectured that for any positive integer $n$, the only solution of $(an)^{x}+(bn)^{y}=(cn)^{z}$ in positive integers is $(x,y,z)=(2,2,2)$. Let $k\geq 1$ be an integer and $F_k=2^{2^k}+1$ be $k$-th Fermat number.
Tang, Min, Weng, Jian-Xin
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Novel Design Techniques for the Fermat Spiral in Antenna Arrays, for Maximum SLL Reduction. [PDF]
Micromachines (Basel), 2022 Encino K +3 more
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Coverings of solenoids and automorphisms of semigroup C*-algebras
Учёные записки Казанского университета: Серия Физико-математические науки, 2018 The paper deals with finite-sheeted covering mappings onto the C*-adic solenoids and limit endomorphisms of semigroup C*-algebras. The aim of our exposition is two-fold: firstly, to present the results concerning the above-mentioned mappings and ...
R.N. Gumerov
doaj
Note on Fermat’s numbers [PDF]
Bulletin of the American Mathematical Society, 1909 Morehead, J. C., Western, A. E.
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Service availability and readiness for hip fracture care in low- and middle-income countries in South and Southeast Asia. [PDF]
Bone Jt Open, 2023 Tabu I +9 more
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HUBO and QUBO models for prime factorization. [PDF]
Sci Rep, 2023 Jun K, Lee H.
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Research of the impact of economic decline on air quality in Wuhan under COVID-19 epidemic. [PDF]
PLoS One, 2023 Qiu J, Li P, You C, Fan H.
europepmc +1 more source