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An Erdos-Turan Inequality For Compact Simply-Connected Semisimple Lie Groups

The classical Erd{\" o}s-Turan Inequality bounds how far a sequence of points in the circle is from being equidistributed in terms of its exponential moments. We prove an analogous inequality for all compact simply-connected semisimple Lie groups, bounding how far a sequence is from being equidistributed in the conjugacy classes of the group in terms of the moments of irreducible characters.

preprint2013arXivOpen access
Zev Rosengarten
math.RT
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Zev Rosengarten

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