| Autor: |
Garay, Mauricio, van Straten, Duco |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
Power series with rational functions as coefficients are ubiquitous in mathematics, particularly so in number theory and mathematical physics. In this paper we introduce a class of such series that we call meandromorphic. Under appropriate Diophantine conditions this class is quasi-analytic i.e. elements are uniquely defined by their Taylor series at any point of a so-called residual set. Our theorems also explain geometrically the divergence of the Taylor series by the presence of accumulation points for the poles. |
| Databáze: |
arXiv |
| Externí odkaz: |
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