Browsing by Author "Wiese, Gabor"

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    On the Distribution of Coefficients of Half-Integral Weight Modular Forms and the Bruinier-Kohnen Conjecture
    (Tubitak Scientific & Technological Research Council Turkey, 2021) Inam, Ilker; Demirkol Ozkaya, Zeynep; Tercan, Elif; Wiese, Gabor
    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.