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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 20. Issue 1 & 2


Published on

December, 2025


Pages

154-177


DOI

http://doi.org/10.2478/UDT-2025-0009

Article

An Erdös-Turan Inequality for Compact Simply Connected Semisimple Lie Groups


Authors

Zev Rosengarten


Abstract

The classical Erdös-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.


Citation

Rosengarten, Z. (2025). An Erdös-Turan Inequality for Compact Simply Connected Semisimple Lie Groups. Uniform distribution theory, 20(1), 154-177. https://doi.org/10.2478/udt-2025-0009