NumberFields@Home: Difference between revisions
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One can also ask about asymptotics based on the set of ramifying primes. There is even less data currently available for investigating questions of this sort. | One can also ask about asymptotics based on the set of ramifying primes. There is even less data currently available for investigating questions of this sort. | ||
Before one can seriously consider asymptotics, it is useful to know where the first examples lie. This project has helped establish the first examples of imprimitive decic number fields with certain Galois groups. One can also consider "first examples" from another perspective, namely by the Galois root discriminant (GRD) of the field. We compute the GRD of the fields found | Before one can seriously consider asymptotics, it is useful to know where the first examples lie. This project has helped establish the first examples of imprimitive decic number fields with certain Galois groups. One can also consider "first examples" from another perspective, namely by the Galois root discriminant (GRD) of the field. We compute the GRD of the fields found there, looking for fields with especially small GRD. Some [http://hobbes.la.asu.edu/lowgrd/ '''''results for low GRD fields can be found here''''']. | ||
==== Theoretical Physics ==== | ==== Theoretical Physics ==== | ||