D-finite multivariate series with arithmetic restrictions on their coefficients
| Autor: | Jason Bell, Daniel Smertnig |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Canadian Journal of Mathematics. :1-35 |
| ISSN: | 1496-4279 0008-414X |
| DOI: | 10.4153/s0008414x22000517 |
| Popis: | 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 $G \le K^*$ ; 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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