Invitation to higher local fields, Part I, section 8: Explicit formulas for the Hilbert symbol
Abstract
This is a review of the vast area of explicit formulas for the (wild) Hilbert symbol (not only in the onedimensional case but in the higher dimensional case as well). An extensive bilbiography is included.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2000
 arXiv:
 arXiv:math/0012139
 Bibcode:
 2000math.....12139V
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Algebraic Geometry;
 11S99;
 19F15
 EPrint:
 Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3I8.abs.html . Version 2: improvements to the historical comments