On Khinchin's Conjecture about Strong Uniform Distribution
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Publication:5610447
DOI10.1112/plms/s3-21.3.540zbMath0208.31402OpenAlexW2076628237WikidataQ123237787 ScholiaQ123237787MaRDI QIDQ5610447
Publication date: 1970
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s3-21.3.540
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On the maximal ergodic theorem for certain subsets of the integers ⋮ FROM KHINCHIN'S CONJECTURE ON STRONG UNIFORMITY TO SUPERUNIFORM MOTIONS ⋮ Almost sure convergence and bounded entropy ⋮ Random constructions for translates of non-negative functions ⋮ Bounded error uniformity of the linear flow on the torus ⋮ Almost everywhere convergence questions of series of translates of non-negative functions ⋮ DIMENSION‐FREE UNIFORMITY WITH APPLICATIONS, I ⋮ Khinchin's conjecture and Marstrand's theorem ⋮ Quantitative behavior of non-integrable systems. I ⋮ On a metrical theorem of Weyl ⋮ On series \(\sum c_k f(kx)\) and Khinchin's conjecture ⋮ On the convergence of ∑𝑐_{𝑛}𝑓(𝑛𝑥) and the Lip 1/2 class ⋮ On strong uniform distribution. III ⋮ Rates of divergence of non-conventional ergodic averages ⋮ Convergence of series of translations ⋮ Empirical Distribution Functions and Strong Approximation Theorems for Dependent Random Variables. A Problem of Baker in Probabilistic Number Theory ⋮ On the sweeping out property for convolution operators of discrete measures ⋮ Counterexamples in ergodic theory and number theory ⋮ Examples and counterexamples for Riemann sums ⋮ On permutations of Hardy-Littlewood-Pólya sequences ⋮ Convergence of series of dilated functions and spectral norms of GCD matrices ⋮ On series of translates of positive functions. II
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