ON GENERALIZED ZETA-FUNCTIONS OF FORMAL LANGUAGES AND SERIES



: HONKALA J

Publisher: ELSEVIER SCIENCE BV

: 1991

Discrete Applied Mathematics

DISCRETE APPLIED MATHEMATICS

: DISCRETE APPL MATH

: 32

: 2

: 141

: 153

: 13

: 0166-218X

DOI: https://doi.org/10.1016/0166-218X(91)90097-G


We study generalized zeta functions of formal languages and series. We give necessary conditions for the rationality of the generalized zeta function. We show that it is decidable whether or not the (generalized) zeta function of a Q-algebraic series is a rational function. The same question is shown to be undecidable for context-free languages.



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