Analyitic functions that preserve the rationals
From: José Carlos Santos (jcsantos_at_fc.up.pt)
Date: 12/28/04
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Date: Tue, 28 Dec 2004 15:48:16 +0000
Hi all,
Let I be a non-empty open interval of the reals and let f be an
analytic function from I into the reals such that, for every rational
number q in I, f(q) is rational. Is it true that f must then be a
rational function?
Best regards,
Jose Carlos Santos
- Next message: David C. Ullrich: "Re: f'(z) and 1-1, euclidean algorithm"
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- Reply: Robert Israel: "Re: Analyitic functions that preserve the rationals"
- Maybe reply: Todd Trimble: "Re: Analyitic functions that preserve the rationals"
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