Submission date: 12 October 2012.

Abstract:

We prove a function-field version of Chebotarev's density theorem in the framework of difference algebraic geometry by developing the notion of Galois coverings of generalised difference schemes, and using Hrushovski's twisted Lang-Weil estimate.

Mathematics Subject Classification: 03C60, 11G25 (Primary) 12H10, 14G10, 14G15 (Secondary)

Keywords and phrases:

Full text arXiv 1210.3571: pdf, ps.