The points of a certain fivefold over finite fields and the twelfth power of the eta function

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Abstract

If p is an odd prime, then denote by Fp the field with p elements. We prove that a certain fivefold is modular in the sense that for every odd p, the number of its points over Fp is predicted explicitly by the pth coefficient of the Fourier expansion of the weight 6 modular form η12(2z).

Original languageEnglish (US)
Pages (from-to)18-33
Number of pages16
JournalFinite Fields and their Applications
Volume8
Issue number1
DOIs
StatePublished - 2002
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

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