On the prime factors of the iterates of the Ramanujan τ–function

DOI10.1017/S0013091520000310zbMath1472.11036arXiv2005.11231OpenAlexW3100309922MaRDI QIDQ5145115

Sibusiso Mabaso, Florian Luca, Pantelimon Stănică

Publication date: 20 January 2021

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11231

zbMATH Keywords

Diophantine equationsRamanujan \(\tau\)-function

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Arithmetic functions; related numbers; inversion formulas (11A25) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

Odd values of the Ramanujan tau function

Cites Work

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• Arithmetic properties of coefficients of \(L\)-functions of elliptic curves
• Trinomials with given roots
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• Effective results for hyper- and superelliptic equations over number fields
• INDEX-DEPENDENT DIVISORS OF COEFFICIENTS OF MODULAR FORMS
• Uniform bounds for the number of solutions to Yⁿ = f(X)
• Odd values of the Ramanujan $\tau$-function
• Primitive divisors of Lucas and Lehmer sequences, III
• Primary cyclotomic units and a proof of Catalans conjecture
• The number of solutions of the Thue-Mahler equation.

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