Gero Brockschnieder
Broschiertes Buch

Asymptotics of Cubic Number Fields with Bounded Second Successive Minimum of the Trace Form

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Master's Thesis from the year 2011 in the subject Mathematics - Number Theory, grade: 1,7, Technical University of Berlin, language: English, abstract: We present a new way of investigating totally real algebraic number fields of degree 3. Instead of making tables of number fields with restrictions only on the field discriminant and/or the signature as described by Pohst, Martinet, Diaz y Diaz, Cohen, and other authors, we bound not only the field discriminant and the signature but also the second successive minima of the trace form on the ring of integers O(K) of totally real cubic fields K. ...