Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896955 | Journal of Number Theory | 2018 | 18 Pages |
Abstract
For the field of formal Laurent series over a finite field, Carlitz defined Î , an analogue of the real number Ï, and Goss defined analogues of Dirichlet L functions. Damamme proved the transcendence of L(1,Ïs)/Î using the criteria of de Mathan. In this article we give a proof of the transcendence of L(1,Ïs)/Î based on the Theorem of Christol and another property of k-automatic sequences.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yining Hu,