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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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Accepted
CM fields and Hilberts 12th problem
Beginning with the work of Taniyama, Shimura, and Weil in the late fifties,
the theory of elliptic curves and elliptic modular curves has been
successfully generalized to higher dimensions. In this t …