On pair correlation and discrepancy

Author:

Grepstad Sigrid,Larcher GerhardORCID

Funder

Johannes Kepler University Linz

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference8 articles.

1. C. Aistleitner, T. Lachmann, and F. Pausinger, Pair correlations and equidistribution, (2016). Available at arXiv:1612.05495 .

2. C. Aistleitner, G. Larcher, and M. Lewko, Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems. With an appendix by Jean Bourgain, to appear in Isreal J. Math. Available at arXiv:1606.03591 .

3. D. R. Heath-Brown, Pair correlation for fractional parts of $$\alpha n^2$$ α n 2 , Math. Proc. Cambridge Philos. Soc. 148 (2010), 385–407.

4. L. Kuipers and H. Niederreiter, Uniform Distributed Sequences, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1974.

5. Z. Rudnick and P. Sarnak, The pair correlation function of fractional parts of polynomials, Comm. Math. Phys. 194 (1998), 61–70.

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