login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A002769 Discriminants of totally real quartic fields (see comments).
(Formerly M5475 N2371)
2

%I M5475 N2371 #25 Jan 29 2022 01:02:13

%S 725,1125,1600,2000,2048,2225,2304,2525,2624,3600,4205,4225,4352,4400,

%T 4525,4752,4913,5125,5225,5725,6125,7056,7168,7225,7232,7488,7600,

%U 7625,8000,8112,8525,8725,8768,8957,9225,9248,9792,10025,10304,10309,10512

%N Discriminants of totally real quartic fields (see comments).

%C Differs from A023680 in that 1957, 2777, 3981, 5744, 6224, 6809, 7053, 7537, 8069, 8468, 8789, 9301, 9909, 10273, 10889, 11197 11324, 11344, 11348, representing fields with no subfield, are not included here. [_R. J. Mathar_, May 31 2010]

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

%H H. Cohen, F. Diaz y Diaz, and M. Olivier, <a href="http://dx.doi.org/10.1090/S0025-5718-02-01452-7">Constructing complete Kummer tables of quartic fields using Kummer theory</a>, Math. Comp. 72 (242) (2003) 941-951

%H H. J. Godwin, <a href="http://dx.doi.org/10.1112/jlms/s1-31.4.478">Real quartic fields with small discriminant</a>, J. Lond. Math. Soc. s1-31 (1956) 478-485

%H H. J. Godwin, <a href="/A002769/a002769.pdf">Real quartic fields with small discriminant</a>, J. Lond. Math. Soc. s1-31 (1956) 478-485 [Annotated scanned copy]

%Y Cf. A023680.

%K nonn,nice

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _R. J. Mathar_, May 31 2010

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 09:56 EDT 2024. Contains 371967 sequences. (Running on oeis4.)