The calculation of this constant requires advanced numerical methods such as interval mathematics, using specialized software for high accuracy and tight error limits. In this article, we present a simpler method for deriving the Viswanath’s constant.
References
[1]
Viswanath, D. (1999) Random Fibonacci Sequences and the Number 1.13198824. MathematicsofComputation, 69, 1131-1156. https://doi.org/10.1090/s0025-5718-99-01145-x
[2]
Embree, M. and Trefethen, L.N. (1999) Growth and Decay of Random Fibonacci Sequences. ProceedingsoftheRoyalSocietyofLondon.SeriesA: Mathematical, PhysicalandEngineeringSciences, 455, 2471-2485. https://doi.org/10.1098/rspa.1999.0412
[3]
Assaf, E., Kuan, C.I., Lowry-Duda, D. and Walker, A. (2025) The Fibonacci Zeta Function and Modular Forms. arXiv: 2502.01415.
[4]
Sukenik, M. and Sukenikova, M. (2022) Investigation of a Control Function Determining the Location of the Zeros as a Possible Proof of the Riemann Hypothesis.
[5]
Soltan, S.S. (2023) Relation between the Golden Ratio Phi and Zeta Function Sum. JournalofMathematicsResearch, 15, 31-65. https://doi.org/10.5539/jmr.v15n2p31
[6]
Weisstein, E. (2000) Random Fibonacci Sequence. World of Mathematics.
[7]
Goldsheidfer, Z. (2025) Exponential Growth of Random Infinite Fibonacci Sequences. arXiv: 2504.10207v1 [math.CO].
[8]
Hamoud, J. and Abdullah, D. (2025) Generalized Natural Density DF(��n) of Fibonacci Word. arXiv: 2504.10207.
[9]
McLellan, K. (2013) Periodic Coefficients and Random Fibonacci Sequences. TheElectronicJournalofCombinatorics, 20, No. 4. https://doi.org/10.37236/3204
