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On the gaps in the Fourier expansion of cusp forms

Research output: Contribution to journal › Article › peer-review

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.

Original languageEnglish (US)
Pages (from-to)41-52
Number of pages12
JournalRamanujan Journal
Volume16
Issue number1
DOIs
StatePublished - May 2008

Keywords

  • Complex multiplication
  • Cusp forms
  • Fourier coefficients

ASJC Scopus subject areas

  • Algebra and Number Theory

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