Harmonic Analysis on the Positive Rationals II: Multiplicative Functions and Maass Forms
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Publication:2825293
zbMath1414.11118arXiv1405.7132MaRDI QIDQ2825293
Jonathan Kish, Peter D. T. A. Elliott
Publication date: 7 October 2016
Full work available at URL: https://arxiv.org/abs/1405.7132
Asymptotic results on arithmetic functions (11N37) Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)
Related Items (8)
Multiplicative Functions and the Sign of Maass Form Fourier Coefficients ⋮ Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two. With an appendix by E. Kowalski and A. Saha. ⋮ The quantitative distribution of Hecke eigenvalues of Maass forms ⋮ Sign changes of Hecke eigenvalues ⋮ On the typical size and cancellations among the coefficients of some modular forms ⋮ Average of Dirichlet coefficients of cuspidal representations related to \(\mathrm{GL}(2)\) ⋮ Multiplicative function mean values: asymptotic estimates ⋮ A lower bound for the variance of generalized divisor functions in arithmetic progressions
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