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  • ▫$D$▫-finite multivariate series with arithmetic restrictions on their coefficients
    Bell, Jason P. ; Smertnig, Daniel
    A multivariate, formal power series over a field ▫$K$▫ is a Bézivin series if all of its coefficients can be expressed as a sum of at most ▫$r$▫ elements from a finitely generated subgroup ▫$G \le ... K^\ast$▫; it is a Pólya series if one can take ▫$r=1$▫. We give explicit structural descriptions of ▫$D$▫-finite Bézivin series and ▫$D$▫-finite Pólya series over fields of characteristic ▫$0$▫, thus extending classical results of Pólya and Bézivin to the multivariate setting.
    Source: Canadian journal of mathematics = Journal canadien de mathématiques. - ISSN 0008-414X (Vol. 75, iss. 6, Dec. 2023, str. 1745-1779)
    Type of material - article, component part ; adult, serious
    Publish date - 2023
    Language - english
    COBISS.SI-ID - 172349955
    DOI

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