Titlebook: Equidistribution in Number Theory, An Introduction; Andrew Granville,Zeév Rudnick Conference proceedings 20071st edition Springer Science+

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,MANIN–MUMFORD, ANDRé–OORT, THE EQUIDISTRIBUTION POINT OF VIEW, of view of equidistribution. This includes a discussion of equidistribution of points with small heights of CM points and of Hecke points.We tried also to explain some questions of equidistribution of positive dimensional “special” subvarieties of a given variety.

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UNIFORM DISTRIBUTION, EXPONENTIAL SUMS, AND CRYPTOGRAPHY,istribution and, in turn, the bounding of relevant exponential sums. Several of the bounds we give have since been quantitatively sharpened, by Garaev (Garaev, 2005) and, spectacularly so, in recent work of Bourgain (Bourgain, 2004; Bourgain, 2005).