Gap statistics and higher correlations for geometric progressions modulo one
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Publication:2697578
DOI10.1007/s00208-022-02362-3OpenAlexW4220843682MaRDI QIDQ2697578
Publication date: 12 April 2023
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.10355
Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)
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Cites Work
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- Quantitative uniform distribution results for geometric progressions
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- The pair correlation function of fractional parts of polynomials
- Gaps in \(\sqrt{n}\bmod 1\) and ergodic theory
- The distribution of spacings between quadratic residues
- On the pair correlations of powers of real numbers
- Pair correlation and equidistribution on manifolds
- Pair correlations and equidistribution
- On pair correlation and discrepancy
- On the difference between consecutive numbers prime to n. III
- The distribution of spacings between fractional parts of lacunary sequences
- On the powers of 3/2 and other rational numbers
- Pair correlation for fractional parts of αn2
- Powers of a rational number modulo 1 cannot lie in a small interval
- Solution of a problem of Knuth on complete uniform distribution of sequences
- A metric result on the pair correlation of fractional parts of sequences
- On the distribution of primitive roots mod p
- On the range of fractional parts {ξ(p/q)ⁿ}
- Divisor Problems and the Pair Correlation for the Fractional Parts of n2
- Equidistribution Results for Self-Similar Measures
- The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson
- On the difference of consecutive numbers prime to n
- The distribution of spacings between the fractional parts of \(n^2\alpha\)
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