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arxiv: 0906.4374 · v2 · pith:H52V5RGVnew · submitted 2009-06-24 · 🧮 math.NT

Nonsolvable number fields ramified only at 3 and 5

classification 🧮 math.NT
keywords nonsolvableonlyramifiedcomputationsexhibitexplicitextensionfields
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For p = 3 and p = 5, we exhibit a finite nonsolvable extension of the rational numbers which is ramified only at p via explicit computations with Hilbert modular forms.

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