On the absolute value of Ramanujan's \(\tau\)-function
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Publication:1050389
DOI10.1007/BF01458543zbMath0513.10024OpenAlexW1994430236MaRDI QIDQ1050389
Peter D. T. A. Elliott, Carlos Julio Moreno, Freydoon Shahidi
Publication date: 1984
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/163872
Asymptotic results on arithmetic functions (11N37) Holomorphic modular forms of integral weight (11F11)
Related Items (15)
Recent progress on the quantum unique ergodicity conjecture ⋮ Quantum variance for dihedral Maass forms ⋮ Mass equidistribution for automorphic forms of cohomological type on 𝐺𝐿₂ ⋮ Distribution of values of Fourier coefficients for modular forms of weight 1 ⋮ Summing Hecke eigenvalues over polynomials ⋮ On averages of Fourier coefficients of Maass cusp forms ⋮ Fourier coefficients of cusp forms ⋮ Exponential sums with multiplicative coefficients without the Ramanujan conjecture ⋮ Average of Dirichlet coefficients of cuspidal representations related to \(\mathrm{GL}(2)\) ⋮ Central limit theorems for classical cusp forms ⋮ A sieve method for shifted convolution sums ⋮ Quantum unique ergodicity for half-integral weight automorphic forms ⋮ On Hecke eigenvalues of cusp forms in almost all short intervals ⋮ Algebraic twists of modular forms and Hecke orbits ⋮ Strong orthogonality between the Möbius function, additive characters and Fourier coefficients of cusp forms
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