By Yann Bugeaud

This publication provides cutting-edge learn at the distribution modulo one in every of sequences of quintessential powers of actual numbers and similar subject matters. lots of the effects have by no means earlier than seemed in a single booklet and plenty of of them have been proved purely over the past decade. issues lined comprise the distribution modulo one of many imperative powers of 3/2 and the frequency of prevalence of every digit within the decimal enlargement of the sq. root of 2. the writer takes some extent of view from combinatorics on phrases and introduces a number of options, together with particular structures of ordinary numbers, Schmidt's video games, Riesz product measures and transcendence effects. With various routines, the ebook is perfect for graduate classes on Diophantine approximation or as an advent to distribution modulo one for non-experts. experts will savor the inclusion of over 50 open difficulties and the wealthy and entire bibliography of over seven-hundred references.

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