English

Determination of the algebraic relations among special Gamma-values in positive characteristic

Number Theory 2022-02-22 v1 Algebraic Geometry

Abstract

We devise a new criterion for linear independence over function fields. Using this tool in the setting of dual t-motives, we find that all algebraic relations among special values of the geometric function field Gamma-function are explained by the standard functional equations.

Keywords

Cite

@article{arxiv.math/0207168,
  title  = {Determination of the algebraic relations among special Gamma-values in positive characteristic},
  author = {Greg W. Anderson and W. Dale Brownawell and Matthew A. Papanikolas},
  journal= {arXiv preprint arXiv:math/0207168},
  year   = {2022}
}

Comments

62 pages