Timeline for An example of a series that is not differentially algebraic?
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| Apr 14, 2010 at 16:25 | comment | added | Vladimir Dotsenko | In case someone is curious about the method: the authors refer to the paper MR0604044, Sibuya, Yasutaka; Sperber, Steven, Arithmetic properties of power series solutions of algebraic differential equations. Ann. of Math. (2) 113 (1981), no. 1, 111--157. There for a series whose coefficients are algebraic numbers it is proved that if it is differentially algebraic, then it is convergent in some neighborhood of zero w.r.t. every non-Archimedean valuation. | |
| Apr 14, 2010 at 12:47 | history | answered | Guy Katriel | CC BY-SA 2.5 |