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On the Uniform Distribution of Inverses modulo n
Authors:Beck  Jozsef  Khan  Mizan R
Institution:(1) Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA;(2) Department of Mathematics and Computer Science, Eastern Connecticut State University, Willimantic, CT 06226, USA
Abstract:In this expository note we use uniform distribution to clarify a result on the difference of an element and its inverse in (Z/nZ)*. We then explain why our remarks apply to some other settings. In doing so we state and prove a couple of folklore theorems on uniform distribution. This revised version was published online in June 2006 with corrections to the Cover Date.
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