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• W3119074944 abstract "This work represents a systematic computational study of the distribution of the Fourier coefficients of cuspidal Hecke eigenforms of level $Gamma_0(4)$ and half-integral weights. Based on substantial calculations, the question is raised whether the distribution of normalised Fourier coefficients with bounded indices can be approximated by a generalised Gaussian distribution. Moreover, it is argued that the apparent symmetry around zero of the data lends strong evidence to the Bruinier-Kohnen Conjecture on the equidistribution of signs and even suggests the strengthening that signs and absolute values are distributed independently." @default.
• W3119074944 created "2021-01-18" @default.
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• W3119074944 date "2021-11-29" @default.
• W3119074944 modified "2023-10-17" @default.
• W3119074944 title "On the distribution of coefficients of half-integral weight modular forms and the Bruinier–Kohnen conjecture" @default.
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• W3119074944 doi "https://doi.org/10.3906/mat-2105-40" @default.
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