Interpolation of hypergeometric ratios in a global field of positive characteristic

Details Interpolation of hypergeometric ratios in a global field of positive characteristic Interpolation of hypergeometric ratios in a global field of positive characteristic

2006-06-26

arxiv.org/abs/math/0606653v1

Mathematics

Number Theory

25 pages, LaTeX

Scientific paper

In connection with 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 (math.NT/0407535). Most notably, all 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.

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