Search: id:A072104
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%I A072104
%S A072104 5,23,275,1609,28037,184607
%N A072104 Smallest absolute value of discriminant of a real (not necessarily totally 
               real) algebraic number field of degree n.
%C A072104 These values are important in Diophantine approximation theory and in 
               the geometry of numbers. Krass (1985) proved that the n-dimensional 
               simultaneous Diophantine approximation constant, gamma_n, must satisfy 
               gamma_n >= (16/9)^floor(n/4) / sqrt(a_(n+1)). See web site for a 
               continuation of probable values.
%D A072104 S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 174-179.
%H A072104 Gerhard Niklasch, <a href="http://algo.inria.fr/bsolve/constant/dioph/
               niklasch.html">Smallest Discriminants of Number Fields</a>
%Y A072104 Sequence in context: A156187 A156555 A116652 this_sequence A086797 A023275 
               A018899
%Y A072104 Adjacent sequences: A072101 A072102 A072103 this_sequence A072105 A072106 
               A072107
%K A072104 hard,nonn
%O A072104 2,1
%A A072104 Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 18 2002

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