An Omega-theorem for Ramanujan's tau-function

DOI10.1007/BF01394057zbMath0499.10024MaRDI QIDQ1171594

M. Ram Murty, R. Balasubramanian

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

normalized Hecke eigenformsomega-theoremRamanujan's tau-function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

General $\Omega $-theorems for coefficients of $L$-functions ⋮ Multidimensional averages and Dirichlet convolution ⋮ Oscillations of Fourier coefficients of modular forms ⋮ An Omega-result for Saito-Kurokawa lifts ⋮ Ramanujan–Petersson conjecture for Fourier–Jacobi coefficients of Siegel cusp forms

Cites Work

• Some applications of Kronecker's limit formulas
• An \(\Omega\)-result for the coefficients of cusp forms
• Ramanujan's function \(\tau(n)\)
• An Ω‐result for the coefficients of cusp forms
• On Epstein's Zeta-function.

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