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Dirichlet's unit theorem
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==Stark regulator== The formulation of [[Stark's conjectures]] led [[Harold Stark]] to define what is now called the '''Stark regulator''', similar to the classical regulator as a determinant of logarithms of units, attached to any [[Artin representation]].<ref>{{cite report|title=A Report on Artin's holomorphy conjecture| first1=Dipendra| last1=Prasad| first2=C. S. |last2=Yogonanda |date=2007-02-23 |url=http://www.math.tifr.res.in/~dprasad/artin.pdf}}</ref><ref>{{cite thesis|title=Stark's Conjectures |first=Samit |last=Dasgupta |year=1999 |url=http://www.math.harvard.edu/~dasgupta/papers/Dasguptaseniorthesis.pdf |url-status=dead |archive-url=https://web.archive.org/web/20080510150747/http://www.math.harvard.edu/~dasgupta/papers/Dasguptaseniorthesis.pdf |archive-date=2008-05-10 }}</ref>
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