Mahler's 3/2 problem is a question in the field of number theory, specifically related to the properties of real numbers and their representations. Named after the mathematician Kurt Mahler, the problem concerns the transcendental numbers and the approximation of real numbers by rational numbers. The essence of the problem deals with whether there exist sufficiently "nice" sequences of rational numbers that can approximate certain real algebraic numbers well, particularly those that satisfy specific linear forms.
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