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Abstract For the field of formal Laurent series over a finite field, Carlitz defined Π, an analogue of the real number π, and Goss defined analogues of Dirichlet L functions.… Click to show full abstract
Abstract For the field of formal Laurent series over a finite field, Carlitz defined Π, an analogue of the real number π, and Goss defined analogues of Dirichlet L functions. Damamme proved the transcendence of L ( 1 , χ s ) / Π using the criteria of de Mathan. In this article we give a proof of the transcendence of L ( 1 , χ s ) / Π based on the Theorem of Christol and another property of k-automatic sequences.
Keywords:
transcendence automata;
transcendence
Journal Title: Journal of Number Theory
Year Published: 2017
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Journal Title: Journal of Number Theory
Year Published: 2017
Link to full text (if available)
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recommendations!