scientific article; zbMATH DE number 7653018

zbMath1504.11026MaRDI QIDQ5877310

Yüksel Soykan

Publication date: 10 February 2023

Full work available at URL: http://www.ijaamm.com/uploads/2/1/4/8/21481830/v9n2p3_28-37.pdf

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zbMATH Keywords

Mersenne numberssum formulasMersenne-Lucas numbers

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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• The power sums involving Fibonacci polynomials and their applications
• Sums of the squares of terms of sequence \(\{u_n\}\)
• The linear algebra of the Pell matrix
• Sums of powers of Fibonacci polynomials
• Mersenne k-Fibonacci numbers
• On the Factors of Certain Mersenne Numbers
• Formulae for sums of Jacobsthal-Lucas numbers
• ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS
• On primitive divisors of Mersenne numbers
• On generalized Mersenne numbers, their interpretations and matrix generators
• Divisors of Mersenne Numbers
• Generalised Mersenne numbers revisited
• Classical and Alternative Approaches to the Mersenne and Fermat Numbers
• The Number of Prime Divisors of Certain Mersenne Numbers
• On the Factors of Certain Mersenne Numbers, II

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