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

Greg W. Anderson^{[1]}

- [1] University of Minnesota School of Mathematics Minneapolis, MN 55455 (USA)

Annales de l’institut Fourier (2007)

- Volume: 57, Issue: 5, page 1655-1687
- ISSN: 0373-0956

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topAnderson, Greg W.. "Interpolation of hypergeometric ratios in a global field of positive characteristic." Annales de l’institut Fourier 57.5 (2007): 1655-1687. <http://eudml.org/doc/10274>.

@article{Anderson2007,

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.},

affiliation = {University of Minnesota School of Mathematics Minneapolis, MN 55455 (USA)},

author = {Anderson, Greg W.},

journal = {Annales de l’institut Fourier},

keywords = {Shtuka; hypergeometric ratio; Coleman unit; Catalan-Drinfeld symbol},

language = {eng},

number = {5},

pages = {1655-1687},

publisher = {Association des Annales de l’institut Fourier},

title = {Interpolation of hypergeometric ratios in a global field of positive characteristic},

url = {http://eudml.org/doc/10274},

volume = {57},

year = {2007},

}

TY - JOUR

AU - Anderson, Greg W.

TI - Interpolation of hypergeometric ratios in a global field of positive characteristic

JO - Annales de l’institut Fourier

PY - 2007

PB - Association des Annales de l’institut Fourier

VL - 57

IS - 5

SP - 1655

EP - 1687

AB - 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.

LA - eng

KW - Shtuka; hypergeometric ratio; Coleman unit; Catalan-Drinfeld symbol

UR - http://eudml.org/doc/10274

ER -

## References

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