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Double Dirichlet series

✍ Scribed by A. Janušauskas


Publisher
Springer
Year
1978
Tongue
English
Weight
401 KB
Volume
18
Category
Article
ISSN
0363-1672

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Automatic Dirichlet Series
✍ J.-P Allouche; M Mendès France; J Peyrière 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 142 KB

Dirichlet series whose coefficients are generated by finite automata define meromorphic functions on the whole complex plane. As consequences, a new proof of Cobham's theorem on the existence of logarithmic frequencies of symbols in automatic sequences is given, and certain infinite products are exp