This set of lectures presents a based creation to the idea that of equidistribution in quantity idea. this idea is of turning out to be value in lots of components, together with cryptography, zeros of L-functions, Heegner issues, top quantity concept, the idea of quadratic types, and the mathematics facets of quantum chaos.
The quantity brings jointly major researchers from a number of fields who show attention-grabbing hyperlinks among possible disparate areas.
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This paintings attracts jointly principles from algebraic topology, practical research and geometry. it's a instrument - a method of conveying info between those 3 matters - and it's been used with good fortune to find theorems throughout a large span of arithmetic. the aim of this publication is to acquaint the reader with the fundamental rules of analytic K-homology and improve a few of its purposes.
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