On a Diophantine equation involving Fibonacci numbers and the Ramanujan \(\tau\)-function of factorials

DOI10.1007/s13370-021-00950-1zbMath1499.11069OpenAlexW4205728046MaRDI QIDQ2115627

Florian Luca, Sibusiso Mabaso

Publication date: 17 March 2022

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-021-00950-1

zbMATH Keywords

Fibonacci numbersfactorialsRamanujan \(\tau\)-function

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Fourier coefficients of automorphic forms (11F30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\) ⋮ On the solutions of the Diophantine equation \(P_n \pm \frac{a(10^m -1)}{9}=k!\)

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