Tamely ramified towers and discriminant bounds for number fields ---II

Authors:
Farshid Hajir;Christian Maire
Affiliations:
California State Univ., San Marcos;Univ. Bordeaux I, Talence Cedex, France
Venue:
Journal of Symbolic Computation
Year:
2002

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Abstract

The root discriminant of a number field of degree n is the nth rootof the absolute value of its discriminant. Let R0(2m) be the minimal root discrimniant for totally complexnumber fields of degree 2m, and put . DefineR(m) to be the minimal root discriminant of totallyreal number fields of degree m and á1 = lim infmR1(m).