Download PDF by Yann Bugeaud: Distribution Modulo One and Diophantine Approximation

By Yann Bugeaud

This ebook provides cutting-edge study at the distribution modulo certainly one of sequences of essential powers of genuine numbers and similar themes. many of the effects have by no means sooner than seemed in a single booklet and lots of of them have been proved in basic terms over the last decade. issues lined comprise the distribution modulo one of many quintessential 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 strategies, together with particular buildings of standard numbers, Schmidt's video games, Riesz product measures and transcendence effects. With various routines, the e-book is perfect for graduate classes on Diophantine approximation or as an creation to distribution modulo one for non-experts. experts will relish the inclusion of over 50 open difficulties and the wealthy and finished bibliography of over seven-hundred references.

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Distribution Modulo One and Diophantine Approximation (Cambridge Tracts in Mathematics, 193) by Yann Bugeaud

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