A Characterization Theorem for the $$L^{2}$$ L 2 -Discrepancy of Integer Points in Dilated Polygons

Author:

Travaglini G.,Tupputi M. R.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Reference35 articles.

1. Beck, J.: Irregularities of point distribution I. Acta Math. 159, 1–49 (1987)

2. Beck, J., Chen, W.W.L.: Note on irregularities of distribution II. Proc. Lond. Math. Soc. 61, 251–272 (1990)

3. Beck, J., Chen, W.W.L.: Irregularities of Distribution. Cambridge University Press, Cambridge (2008)

4. Brandolini, L., Colzani, L., Gigante, G., Travaglini, G.: $$\mathit{L}^{p}$$ L p Estimates for the Number of Integer Points in Translated Domains. Mathematical Proceedings of the Cambridge Philosophical Society, to appear

5. Brandolini, L., Gigante, G., Travaglini, G.: Irregularities of distribution and average decay of Fourier transforms. In: Panorama of Discrepancy Theory. Springer, New York (2014)

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