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Divisibility of class numbers of imaginary quadratic fields whose discriminant has only three prime factors
Authors:Kostadinka Lapkova
Affiliation:1. Department of Mathematics and its Applications, Central European University, Nádor u. 9, 1051, Budapest, Hungary
Abstract:We prove the existence of infinitely many imaginary quadratic fields whose discriminant has exactly three distinct prime factors and whose class group has an element of a fixed large order. The main tool we use is solving an additive problem via the circle method.
Keywords:
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