Quadratic fields with cyclic 2-class groups
Dominguez, Carlos · Miller, Steven J. · Wong, Siman
Original · EN
For any integer k≥ 1, we show that there are infinitely many complex quadratic fields whose 2-class groups are cyclic of order 2ᵏ. The proof combines the circle method with an algebraic criterion for a complex quadratic ideal class to be a square.
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