Friedrich Götze: Counting Lattice Points in Ellipsoids and the Central Limit Theorem for...

Описание к видео Friedrich Götze: Counting Lattice Points in Ellipsoids and the Central Limit Theorem for...

Counting Lattice Points in Ellipsoids and the Central Limit Theorem for Quadratic Forms.
In this talk we review classical results on lattice point counting problems for ellipsoids and describe in dimensions five and larger some older and recent results on explicit error bounds. We outline their relation to corresponding errors estimates in the multivariate central limit theorem in Probability and the importance of gap principles for bounding Fourier integrals.

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