An Euler-like product with Fibonacci exponents

DOI10.1007/S44007-024-00099-WzbMATH Open1548.11038MaRDI QIDQ6564017

Ömer Eğecioğlu

Publication date: 28 June 2024

Published in: La Matematica (Search for Journal in Brave)

zbMATH Keywords

series expansionFibonacci numberEuler's productFibonacci exponents

Mathematics Subject Classification ID

Elementary theory of partitions (11P81) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• On the expansion of the infinite product \(1 x)\;(1 x^2)\;(1 x^3)\;(1 x^4)\cdots\)
• Euler's Pentagonal Number Theorem
• Representation of Natural Numbers as Sums of Generalised Fibonacci Numbers
• Lessons in Enumerative Combinatorics
• Fibonacci Cubes with Applications and Variations
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