## Computing the Hilbert class field of real quadratic fields.(English)Zbl 1042.11075

Summary: Using the units appearing in Stark’s conjectures on the values of $$L$$-functions at $$s=0$$, we give a complete algorithm for computing an explicit generator of the Hilbert class field of a real quadratic field.

### MSC:

 11Y40 Algebraic number theory computations 11R37 Class field theory 11R42 Zeta functions and $$L$$-functions of number fields 11Y35 Analytic computations

PARI/GP
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### References:

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