Distribution Modulo One and Diophantine Approximation by Yann Bugeaud PDF

By Yann Bugeaud

This ebook provides state of the art learn at the distribution modulo certainly one of sequences of quintessential powers of genuine numbers and similar themes. lots of the effects have by no means sooner than seemed in a single ebook and plenty of of them have been proved simply over the past decade. themes lined comprise the distribution modulo one of many essential powers of 3/2 and the frequency of prevalence of every digit within the decimal growth of the sq. root of 2. the writer takes some degree of view from combinatorics on phrases and introduces a number of strategies, together with particular buildings of ordinary numbers, Schmidt's video games, Riesz product measures and transcendence effects. With a variety of workouts, the publication is perfect for graduate classes on Diophantine approximation or as an advent to distribution modulo one for non-experts. experts will get pleasure from the inclusion of over 50 open difficulties and the wealthy and complete 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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