A Survey of Discriminant Counting

Author:

Cohen Henri,Diaz Francisco Diaz y,Olivier Michel

Publisher

Springer Berlin Heidelberg

Reference36 articles.

1. A. Baily, On the density of discriminants of quartic fields, J. reine angew. Math. 315 (1980), 190–210.

2. K. Belabas, A fast algorithm to compute cubic fields, Math. Comp. 66 (1997), 1213–1237.

3. K. Belabas, On the mean 3-rank of quadratic fields, Compositio Math. 118 (1999), 1–9.

4. M. Bhargava, Higher composition laws, PhD Thesis, Princeton Univ., June 2001.

5. M. Bhargava, Gauss Composition and Generalizations, this volume.

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1. Upper bounds for the number of number fields with alternating Galois group;Proceedings of the American Mathematical Society;2012-06-25

2. The Totally Real Primitive Number Fields of Discriminant at Most 109;Lecture Notes in Computer Science;2006

3. Densities of quartic fields with even Galois groups;Proceedings of the American Mathematical Society;2005-04-20

4. On the Distribution of Galois Groups, II;Experimental Mathematics;2004-01

5. Counting extensions of function fields with bounded discriminant and specified Galois group;Progress in Mathematics

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