On the gaps in the Fourier expansion of cusp forms |
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| Authors: | Emre Alkan Alexandru Zaharescu |
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| Institution: | (1) Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA |
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| Abstract: | 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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| Keywords: | Cusp forms Fourier coefficients Complex multiplication |
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