Combinatorial proof of the transcendence of $L(1,\chi_s)/\Pi$
Combinatorics
2016-06-21 v2 Number Theory
Abstract
We give a combinatorial proof of the transcendence of , where (resp. ) is the analogue in characteristic of the function of Dirichlet (resp. ). This result has been proven by G. Damamme using the criteria of de Mathan. Our proof is based on the Theorem of Christol and another property of -automatic sequences.
Keywords
Cite
@article{arxiv.1606.04137,
title = {Combinatorial proof of the transcendence of $L(1,\chi_s)/\Pi$},
author = {Yining Hu},
journal= {arXiv preprint arXiv:1606.04137},
year = {2016}
}