LINEAR INDEPENDENCE OF GAMMA VALUES IN POSITIVE CHARACTERISTIC

By W. Brownawell, Matthew A. Papanikolas. 2001

48 citations recorded by the source corpus.

We investigate the arithmetic nature of special values of Thakur's func- tion field Gamma function at rational points. Our main result is that all linear dependence relations over the field of algebraic functions are consequences of the Anderson-Deligne-Thakur bracket relations.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/67a9ec2e1280532be9a6cfc442a08c985f3e4dda

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In Applied Mathematics

1. Michel Waldschmidt
2. Chieh-Yu Chang
3. Matthew A. Papanikolas

In Geometry and Topology

1. Chieh-Yu Chang
2. Michel Waldschmidt
3. Matthew A. Papanikolas
4. F. Pellarin
5. Jing Yu

Citations in the corpus

• Transcendence of Periods: The State of the Art (2006, methodology): “Anderson introduced the notion of soliton, which, according to [14], is a higher dimensional version of the shtuka function for rank 1 Drinfeld modules.”
• Algebraic independence of periods and logarithms of Drinfeld modules (with an appendix by Brian Conrad) (2010, result): “In analogy with the de Rham cohomology for elliptic curves, Anderson, Deligne, Gekeler, and Yu developed a de Rham theory for Drinfeld modules, which characterizes isomorphism classes of extensions of Drinfeld modules by Ga (see [5, 13, 22, 26]).”