Transcendence of $L(1,\chi _s)/\Pi $ in positive characteristic. A simple automata-style proof
For the field of formal Laurent series over a finite field, L. Carlitz defined $\Pi $, an analog of the real number $\pi $, and D. Goss defined $L(s,\chi )$, analogs of Dirichlet $L$-functions. G. Damamme proved in 1999 the transcendence of $L(1,\chi _s)/\Pi $ via a criterion of de Mathan. Then Y. H...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.493/ |