A1 Refereed original research article in a scientific journal

ON ALGEBRAIC GENERALIZED ZETA-FUNCTIONS OF FORMAL POWER-SERIES




AuthorsHONKALA J

PublisherELSEVIER SCIENCE BV

Publication year1991

JournalTheoretical Computer Science

Journal name in sourceTHEORETICAL COMPUTER SCIENCE

Journal acronymTHEOR COMPUT SCI

Volume79

Issue1

First page 263

Last page273

Number of pages11

ISSN0304-3975

DOIhttps://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.



Last updated on 2024-26-11 at 14:58