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Sep 27, 2010 at 15:55 comment added Nikita Sidorov My pleasure. In fact, I've discovered these by accident myself - kinda hard to believe this stuff is so recent.
Sep 27, 2010 at 14:48 vote accept Vagabond
Sep 27, 2010 at 14:35 comment added Vagabond I reached there already :-) I will follow the trail. Thank you once more, I do not think on my own I would have found these.
Sep 27, 2010 at 14:28 comment added Nikita Sidorov Here's another one: Additive and multiplicative relations connecting conjugate algebraic numbers CJ Smyth - Journal of Number Theory, 1986 ... and then look up all the papers which refer to it (via scholar.google, for example). There are quite a few, I believe.
Sep 27, 2010 at 10:10 comment added Vagabond @Nikita the paper you suggested really looks interesting. I actually was looking for some examples like these where an inverse problem has been solved. I know I have been rather vague in asking the question, because I did not want to specify a particular problem with the hope that someone solves it for me. Do you know some more examples where such inverse problems has been dealt with ? If you do not mind can you suggest some other references as well. In any case thanks a lot. I will go through it and see if I can find what I am looking for.
Sep 27, 2010 at 9:39 history answered Nikita Sidorov CC BY-SA 2.5