Automatic Dirichlet series

JOURNAL OF NUMBER THEORY

卷:81

Article

Allouche, JP ; France, MM ; Peyrière, J

关键词: automatic sequences;    Dirichlet series;    logarithmic frequency;   

DOI  :  10.1006/jnth.1999.2487

来源: Elsevier

【 摘 要 】

Dirichlet series whose coefficients are generated by finite automats 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 explicitly computed. (C) 2000 Academic Press.

【 授权许可】

Free