Automata methods in transcendence

  • Dinesh S. Thakur

    University of Rochester, USA
Automata methods in transcendence cover

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The purpose of this expository article is to explain diverse new tools that automata theory provides to tackle transcendence problems in function field arithmetic. We collect and explain various useful results scattered in computer science, formal languages, logic literature and explain how they can be fruitfully used in number theory, dealing with transcendence, refined transcendence and classification problems.