A1 Refereed original research article in a scientific journal
ON ALGEBRAIC GENERALIZED ZETA-FUNCTIONS OF FORMAL POWER-SERIES
Authors: HONKALA J
Publisher: ELSEVIER SCIENCE BV
Publication year: 1991
Journal: Theoretical Computer Science
Journal name in source: THEORETICAL COMPUTER SCIENCE
Journal acronym: THEOR COMPUT SCI
Volume: 79
Issue: 1
First page : 263
Last page: 273
Number of pages: 11
ISSN: 0304-3975
DOI: https://doi.org/10.1016/0304-3975(91)90156-V
Abstract
We study algebraic generalized zeta functions of formal power series. We show that the generalized zeta function of a rational series is an algebraic function if and only if it is a root of a rational function. We show that it is decidable whether or not the generalized zeta function of a Q-rational series is an algebraic function.
We study algebraic generalized zeta functions of formal power series. We show that the generalized zeta function of a rational series is an algebraic function if and only if it is a root of a rational function. We show that it is decidable whether or not the generalized zeta function of a Q-rational series is an algebraic function.
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