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A006554 Minimal discriminant of totally real number field of degree n.
(Formerly M4006)
0
1, 5, 49, 725, 14641, 300125, 20134393, 282300416, 9685993193 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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

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

LINKS

Table of n, a(n) for n=1..9.

A. M. Odlyzko, Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions: A survey of recent results, Sem. Theorie des Nombres, Bordeaux, 2 (1990), pp. 119-141.

J. Voight, Enumeration of totally real number fields of bounded root discriminant, in A. J. van der Poorten and A. Stein, ANTS, LNCS 5011, Springer (2008), 268-281.

Index entries for sequences related to quadratic fields

CROSSREFS

Sequence in context: A136729 A102773 A028575 * A052750 A145088 A301386

Adjacent sequences:  A006551 A006552 A006553 * A006555 A006556 A006557

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane.

EXTENSIONS

a(9) from Voight paper added by Sean A. Irvine, May 09 2017

STATUS

approved

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Last modified November 22 00:32 EST 2019. Contains 329383 sequences. (Running on oeis4.)