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Transcendence of \(L(1,\chi_{s})/\Pi\) and automata

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Publication:1747221
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DOI10.1016/J.JNT.2017.10.029zbMath1409.11052OpenAlexW2773816377MaRDI QIDQ1747221

Yining Hu

Publication date: 4 May 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.10.029


zbMATH Keywords

transcendenceautomatic sequencesDirichlet \(L\) function


Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Automata sequences (11B85)


Related Items (2)

How to prove that a sequence is not automatic ⋮ Transcendence of \(L(1,\chi_s)/\pi\) in positive characteristic. A simple automata-style proof




Cites Work

  • On a new type of \(L\)-function for algebraic curves over finite fields
  • Carlitz \(\zeta\)-function and automata
  • Irrationality measures and transcendence in positive characteristic
  • Study of \(L(s,\chi)/\pi^s\) for \(L\)-functions relative to \(\mathbb{F}_q((T^{-1}))\) and associated to characters of degree 1
  • Certain quantities transcendental over \(\text{GF}(p^n,x)\)
  • Sur la transcendance de la série formelle Π
  • Suites algébriques, automates et substitutions
  • Uniform tag sequences




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