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Jan 28, 2011 at 0:45 comment added JBorger I've just been poking around and found that Ritt has other papers with similar themes, such as "Meromorphic functions with addition or multiplication theorems", Trans. Amer. Math. Soc. 29 (1927), no. 2, 341–360.
Jan 28, 2011 at 0:32 history edited JBorger CC BY-SA 2.5
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Jan 27, 2011 at 9:26 comment added Qiaochu Yuan This is a nice example, but it's another description of something highly structured: an algebraic group. Maybe I am more annoyed by the lack of structure in these questions than I am by the fact that they are functional equations...
Jan 27, 2011 at 8:48 history answered JBorger CC BY-SA 2.5