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arXiv · 1606.04137

Combinatorial proof of the transcendence of $L(1,χ_s)/Π$

Yining Hu
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Abstract

We give a combinatorial proof of the transcendence of $L(1,χ_s)/Π$, where $L(1,χ_s)$ (resp. $Π$) is the analogue in characteristic $p$ of the function $L$ of Dirichlet (resp. $π$). 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 $k$-automatic sequences.

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BibTeXRIS

Yining Hu. 2016-06-20. Combinatorial proof of the transcendence of $L(1,χ_s)/Π$. https://arxiv.org/abs/1606.04137

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