Automata-Style Proof of Voloch's Result on Transcendence

✍ Scribed by Dinesh S. Thakur

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 193 KB
• Volume: 58
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1996.0061

✦ Synopsis

dedicated to john tate on his 70th birthday

We give another proof of Voloch's result on transcendence of the period of the Tate elliptic curve. The proof is based on the transcendence criterion of Christol involving notions of recognizable sequences and automata.