On certain coefficients of Drinfeld-Goss eigenforms with power eigenvalues

Ahmad ElGuindy, Aleksandar Petrov

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Abstract

We show that a certain family of the coefficients of a Drinfeld-Goss modular form with certain power eigenvalues for the Hecke operators at degree 1 primes the can be expressed as polynomial multiples of the first possible non-zero coefficient of that form. Along the way, we obtain some interesting combinatorial properties regarding difference operators in finite characteristic.

Original languageEnglish
Article number10
JournalResearch in Number Theory
Volume2
Issue number1
DOIs
Publication statusPublished - 1 Dec 2016

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Keywords

  • Difference operators
  • Drinfeld-Goss modular forms
  • Eigenform coefficients
  • Hecke operators

ASJC Scopus subject areas

  • Algebra and Number Theory

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