On higher dimensional Poissonian pair correlation
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Publication:6058859
DOI10.1016/j.jmaa.2023.127686arXiv2207.02584MaRDI QIDQ6058859
Tanmoy Bera, Mithun Kumar Das, Anirban Mukhopadhyay
Publication date: 1 November 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.02584
Asymptotic results on arithmetic functions (11N37) Well-distributed sequences and other variations (11K36) General theory of distribution modulo (1) (11K06)
Cites Work
- Refinements of Gál's theorem and applications
- On Vinogradov's mean value theorem: strongly diagonal behaviour via efficient congruencing
- The pair correlation function of fractional parts of polynomials
- \(L_1\)-norms of exponential sums and the corresponding additive problem
- Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems
- Poissonian pair correlation in higher dimensions
- On a multi-dimensional Poissonian pair correlation concept and uniform distribution
- Pair correlation and equidistribution on manifolds
- GCD sums and sum-product estimates
- Large greatest common divisor sums and extreme values of the Riemann zeta function
- Pair correlations and equidistribution
- On pair correlation and discrepancy
- Pair correlations of Halton and Niederreiter sequences are not Poissonian
- A metric result on the pair correlation of fractional parts of sequences
- Upper bounds for the number of solutions of a Diophantine equation
- Classical Fourier Analysis
- Pair correlation of sequences with maximal additive energy
- Sommes de Gál et applications
- Probability theory. A comprehensive course
- The distribution of spacings between the fractional parts of \(n^2\alpha\)
- On the pair correlation for fractional parts of vector sequences
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