Results 81 to 90 of about 143 (119)
On Diophantine equations involving Lucas sequences
Open Mathematics, 2019 In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
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On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]
Ramanujan J, 2021 Ddamulira M, Luca F.
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On The Order Of Convergence Of A Determinantal Family Of Root-Finding Methods
, 1997 For each natural number m greater than one, and each natural number k less than or equal to m, there exists a root-finding iteration function, defined as the ratio of two determinants that depend on the first m \Gamma k derivatives of the given function,
Bahman Kalantari
core
On Powers, Roots and Moore–Penrose Inverses of Matrices Via Generalized Fibonacci Numbers
Annales Mathematicae SilesianaeThe purpose of this work is to introduce some new results about the relations between powers, roots and Moore–Penrose inverses of square matrices satisfying a cubic matrix equation and the generalized Fibonacci numbers.
Karakaya Sinan +2 more
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A Fibonacci-like sequence of composite numbers
, 1999 In 1964, Ronald Graham proved that there exist relatively prime natural numbers a and b such that the sequence fA n g defined by A n = A n\Gamma1 +A n\Gamma2 (n 2; A 0 = a; A 1 = b) contains no prime numbers, and constructed a 34-digit pair ...
John W. Nicol
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Bounds for the k-term Zeckendorf representations of Tribonacci-Lucas numbers with explicit results
Annals of the West University of Timisoara: Mathematics and Computer ScienceZeckendorf proved that every positive integer has a unique representation as a sum of non-consecutive Fibonacci numbers. In this paper, we applied the linear forms in logarithms to the Zeckendorf representation of the Tribonacci-Lucas sequences to find ...
Ousseni Awaou Lare +2 more
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On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]
Bol Soc Mat Mex, 2022 Ziegler V.
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Tribonacci numbers that are concatenations of two repdigits. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2020 Ddamulira M.
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Repdigits as sums of three Padovan numbers. [PDF]
Bol Soc Mat Mex, 2020 Ddamulira M.
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On a problem of Pillai with Fibonacci numbers and powers of 3. [PDF]
Bol Soc Mat Mex, 2020 Ddamulira M.
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