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Open Diophantine problems. (English) Zbl 1066.11030
This paper gives a very detailed survey of the most important conjectures and problems in Transcendental Number Theory and Diophantine Approximation. Its 61 pages contain a lot of information. It is almost impossible to give a complete review of it, I shall only present a list of the main topics treated in this survey. The different sections are: 1. Diophantine equations 2. Diophantine Approximation 3. Transcendence 4. Heights 5. Further Problems: Metric Problems, Function Fields. The paper contains more than 70 problems or conjectures. This is a splendid road-map for the present millenium.

MSC:
11Jxx Diophantine approximation, transcendental number theory
11-02 Research exposition (monographs, survey articles) pertaining to number theory
11Dxx Diophantine equations
11G50 Heights
14G05 Rational points
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