Quadratic Fields with Cyclic 2-class Groups

نویسندگان

  • CARLOS DOMINGUEZ
  • STEVEN J. MILLER
  • David Hayes
چکیده

For any integer k ≥ 1, we show that there are infinitely many complex quadratic fields whose 2-class groups are cyclic of order 2. The proof combines the circle method with an algebraic criterion for a complex quadratic ideal class to be a square. In memory of David Hayes.

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تاریخ انتشار 2012