ENTIRE FUNCTIONS SHARING ARGUMENTS OF INTEGRALITY, I
| Autor: | Jonathan Pila |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Popis: | Let f be an entire function that is real and strictly increasing for all sufficiently large real arguments, and that satisfies certain additional conditions, and let Xf be the set of non-negative real numbers at which f is integer valued. Suppose g is an entire function that takes integer values on Xf. We find growth conditions under which f,g must be algebraically dependent (over ℤ) on X. The result generalizes a weak form of a theorem of Pólya. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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