= Hilbert's twelfth problem
{wiki=Hilbert's_twelfth_problem}
Hilbert's twelfth problem, proposed by the mathematician David Hilbert in 1900, is concerned with the theory of functions with respect to algebraic number fields and involves the study of the so-called "absolutely abelian extensions" of these fields. More specifically, the problem asks for a systematic method to construct all the abelian extensions of a given number field using explicit functions, particularly through the use of modular forms.
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