Arithmetic properties of the Ramanujan function

DOI10.1007/BF02829735zbMath1095.11044arXivmath/0607591MaRDI QIDQ2493459

Florian Luca, Igor E. Shparlinski

Publication date: 14 June 2006

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607591

zbMATH Keywords

Lucas sequenceRamanujan \(\tau\)-functionapplications of \(S\)-unit equationslinear forms in \(q\)-adic logarithms

Mathematics Subject Classification ID

Rate of growth of arithmetic functions (11N56)

Related Items (6)

ON VALUES OF d(n!)/m!, ϕ(n!)/m! AND σ(n!)/m! ⋮ Odd values of the Ramanujan tau function ⋮ FACTORIALS AND THE RAMANUJAN FUNCTION ⋮ On the largest prime factor of non-zero Fourier coefficients of Hecke eigenforms ⋮ TWO GENERALIZATIONS OF THE BUSCHE–RAMANUJAN IDENTITIES ⋮ On the number of prime divisors and radicals of non-zero Fourier coefficients of Hilbert cusp forms

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