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Minimal discriminant of totally real number field of degree n.
(Formerly M4006)
2

%I M4006 #17 Dec 18 2021 20:52:57

%S 1,5,49,725,14641,300125,20134393,282300416,9685993193

%N Minimal discriminant of totally real number field of degree n.

%D H. Hasse, Number Theory, Springer-Verlag, NY, 1980, p. 617.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H A. M. Odlyzko, <a href="http://www.dtc.umn.edu/~odlyzko/doc/zeta.html">Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions: A survey of recent results</a>, Sem. Theorie des Nombres, Bordeaux, 2 (1990), pp. 119-141.

%H J. Voight, <a href="https://arxiv.org/abs/0802.0194v1">Enumeration of totally real number fields of bounded root discriminant</a>, in A. J. van der Poorten and A. Stein, ANTS, LNCS 5011, Springer (2008), 268-281.

%H <a href="/index/Qua#quadfield">Index entries for sequences related to quadratic fields</a>

%K nonn,nice

%O 1,2

%A _N. J. A. Sloane_

%E a(9) from Voight paper added by _Sean A. Irvine_, May 09 2017