Interpolation of hypergeometric ratios in a global field of positive characteristic

Greg W. Anderson

Research output: Contribution to journalArticlepeer-review

Abstract

For each global field of positive characteristic we exhibit many examples of two-variable algebraic functions possessing properties consistent with a conjectural refinement of the Stark conjecture in the function field case recently proposed by the author. All the examples are Coleman units. We obtain our results by studying rank one shtukas in which both zero and pole are generic, i. e., shtukas not associated to any Drinfeld module.

Original languageEnglish (US)
Pages (from-to)1655-1687
Number of pages33
JournalAnnales de l'Institut Fourier
Volume57
Issue number5
DOIs
StatePublished - Jan 1 2007

Keywords

  • Coleman unit
  • Hypergeometric ratio
  • Shtuka

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