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Density of imaginary cubic function fields having infinite Hilbert 3-class field tower. (English) Zbl 1318.11151

Summary: We study the density of imaginary cubic function fields having the infinite Hilbert 3-class field tower.

MSC:

11R58 Arithmetic theory of algebraic function fields
11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.)
11R18 Cyclotomic extensions
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