On the Computation of Class Polynomials with "Thetanullwerte" and Its Applications to the Unit Group Computation

نویسندگان

  • Franck Leprévost
  • Michael E. Pohst
  • Osmanbey Uzunkol
چکیده

The classical class invariants of Weber are introduced as quotients of Thetanullwerte, enabling the computation of these invariants more efficiently than as quotients of values of the Dedekind η-function. We show also how to compute the unit group of suitable ring class fields by means of proving the fact that most of the invariants introduced by Weber are actually units in the corresponding ring class fields.

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عنوان ژورنال:
  • Experimental Mathematics

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2011