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.Comment: 25 pages, LaTe
