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Estimates for the number of integer points in translated and dilated domains

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If you have a question about this talk, please contact Dr. Maria Carmen Reguera.

The discrepancy between the volume and the number of integer points in a domain is a classical subject of study, with applications to both Pure and Applied Mathematics. We estimate the Lp and Weak-Lp norms of the discrepancy with respect to translations and dilations of the domain. The main tool in our analysis is the Fourier expansion of this discrepancy.

This talk is part of the Analysis seminar series.

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