Explicit formulas and vanishing conditions for certain coefficients of drinfeld-goss hecke eigenforms

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Abstract

We obtain a closed form polynomial expression for certain coefficients of Drinfeld-Goss double-cuspidal modular forms which are eigenforms for the degree one Hecke operators with power eigenvalues, and we use those formulas to prove vanishing results for an infinite family of those coefficients.

Original languageEnglish
Pages (from-to)4127-4137
Number of pages11
JournalProceedings of the American Mathematical Society
Volume146
Issue number10
DOIs
Publication statusPublished - 1 Jan 2018

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Keywords

  • Drinfeld-goss modular forms
  • Hecke operators
  • Recurrence relations

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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