Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Sets of Fractional Dimensions which Occur in Some Problems of Number Theory - MaRDI portal

Sets of Fractional Dimensions which Occur in Some Problems of Number Theory

From MaRDI portal
Publication:5810010

DOI10.1112/plms/s2-54.1.42zbMath0045.16603OpenAlexW1979959598MaRDI QIDQ5810010

H. G. Eggleston

Publication date: 1951

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s2-54.1.42




Related Items

Characterized subgroups of the circle groupÜber die Häufigkeit von Zahlenfolgen mit gegebener VerteilungsfunktionHausdorff dimensions of some irregular sets associated with \(\beta\)-expansionsAn exceptional set for Hausdorff dimensionOn simply normal numbers to different basesDensity modulo 1 of sublacunary sequencesCharacterizing subgroups of compact Abelian groupsDimensions of slices through the Sierpiński gasketRigidity and non-recurrence along sequencesStatistically characterized subgroups of the circle. II: Continued fractionsExplicit Salem sets in \(\mathbb{R}^2\)Inclusions of characterized subgroupsOn the distribution of digits in dyadic expansionsOn characterized subgroups of compact abelian groupsSize of the peripheral point spectrum under power or resolvent growth conditionsA characterization of the circle group via uniqueness of rootsUnnamed ItemOn some properties of sparse sets: a surveyA localized Jarník-Besicovitch theoremEggleston's dichotomy for characterized subgroups and the role of idealsExplicit Salem sets in \(\mathbb{R}^n\)Characterizable groups: Some results and open questionsKen and the Bohr topologyA note on the theorem of Jarník-BesicovitchGenerating subgroups of the circle using statistical convergence of order \(\alpha\)Self-affine fractal functions and wavelet seriesHausdorff measures of subgroups of \(\mathbb{R}/\mathbb{Z}\) and \(\mathbb{R}\)Statistically characterized subgroups of the circleFull divergence and maximal functions with cancellationOn the Cantor seriesA very sparse set of dimension 1Riesz products, Hausdorff dimension and normal numbersDensity modulo 1 of lacunary and sublacunary sequences: application of Peres-Schlag's constructionThe equality of fractal dimension and uncertainty dimension for certain dynamical systemsSequences and filters of characters characterizing subgroups of compact Abelian groupsClosure operators in topological groups related to von Neumann's kernelCharacterizing sequences for precompact group topologiesOn the set of points with absolutely convergent trigonometric seriesGenerating subgroups of the circle using a generalized class of density functionsSuperfractality of the set of incomplete sums of one positive seriesAn exceptional set in the ergodic theory of expanding maps on manifoldsThe Hausdorff dimension of a class of fractals, which are determined by the distribution of dyadic digitsOn small fractional parts of polynomialsOn the Borel complexity of characterized subgroupsExplicit Salem sets, Fourier restriction, and metric Diophantine approximation in thep-adic numbersSolution of a general version of Armacost's problem on topologically torsion elementsRigidity sequences, Kazhdan sets and group topologies on the integersNombres normaux applications aux fonctions pseudoaleatoiresOn characterized subgroups of \(\mathbb{R}\) and \(\mathbb{R}/\mathbb{Z}\)The Hausdorff dimension of sets arising from diophantine approximation with a general error functionHausdorff measure of Cantor setsÜber Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind. VÜber Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind. VIDiophantine approximation and a lower bound for Hausdorff dimensionExistence of an uncountable tower of Borel subgroups between the Prüfer group and the \(s\)-characterized groupSous-groupes de IR liés à la répartition modulo 1 de suitesExplicit Salem sets and applications to metrical Diophantine approximationSingular Functions Associated with Markov ChainsOn the asymptotic behaviour of sample spacingsDimensional explanation of capacity and ambiguity in information theoryGood Approximations and Continued FractionsFourier dimension and avoidance of linear patterns