On a real multiplication problem
نویسنده
چکیده
An explicit class field theory for the real quadratic number fields is developed. The construction is based on the theory of the Hecke eigenforms (of weight two) and the notion of a pseudo-lattice with the real multiplication introduced by Yu. I. Manin. In particular, it is shown how to extend the domain of definition of the j-invariant to the quadratic irrational points at the boundary of the upper half-plane H.
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