Editing Dirichlet's unit theorem (section)

==Higher regulators==

A 'higher' regulator refers to a construction for a function on an [[algebraic K-group|algebraic {{mvar|K}}-group]] with index {{math|''n'' > 1}} that plays the same role as the classical regulator does for the group of units, which is a group {{math|''K''<sub>1</sub>}}. A theory of such regulators has been in development, with work of [[Armand Borel]] and others. Such higher regulators play a role, for example, in the [[Beilinson conjectures]], and are expected to occur in evaluations of certain [[L-function|{{mvar|L}}-function]]s at integer values of the argument.<ref name=Bloch>{{cite book | last=Bloch | first=Spencer J. | author-link=Spencer Bloch | title=Higher regulators, algebraic {{mvar|K}}-theory, and zeta functions of elliptic curves | series=CRM Monograph Series | volume=11 | location=Providence, RI | publisher=[[American Mathematical Society]] | year=2000 | isbn=0-8218-2114-8 | zbl=0958.19001 }}</ref> See also [[Beilinson regulator]].