ON ALGEBRAIC GENERALIZED ZETA-FUNCTIONS OF FORMAL POWER-SERIES



: HONKALA J

Publisher: ELSEVIER SCIENCE BV

: 1991

 Theoretical Computer Science

: THEORETICAL COMPUTER SCIENCE

: THEOR COMPUT SCI

: 79

: 1

: 263

: 273

: 11

: 0304-3975

DOI: https://doi.org/10.1016/0304-3975(91)90156-V


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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