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On the gaps in the Fourier expansion of cusp forms

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In this paper we obtain some results on the gap function which measures the size of gaps in the Fourier expansion of cusp forms that are not linear combinations of forms with complex multiplication. We also investigate the nonvanishing of Fourier coefficients of such cusp forms along rational multiples of linear forms in two variables.

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Correspondence to Emre Alkan.

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Alkan, E., Zaharescu, A. On the gaps in the Fourier expansion of cusp forms. Ramanujan J 16, 41–52 (2008). https://doi.org/10.1007/s11139-007-9091-z

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  • DOI: https://doi.org/10.1007/s11139-007-9091-z

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