Generating subgroups of the circle using a generalized class of density functions

DOI10.1016/j.indag.2020.10.004zbMath1483.11016arXiv2005.06322OpenAlexW3025569385MaRDI QIDQ2020426

Ayan Ghosh, Pratulananda Das

Publication date: 23 April 2021

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06322

zbMATH Keywords

circle groupcharacterized subgrouparithmetic sequence\( f^g\)-statistical convergence\(f\)-density of weight \(g\)ideal \(\mathcal{Z}_g ( f )\)

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Density, gaps, topology (11B05)

Related Items (3)

Some further remarks on characterized subgroups generated by modular simple density ⋮ Eggleston's dichotomy for characterized subgroups and the role of ideals ⋮ Factorizable subgroups of the circle group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizable groups: Some results and open questions
• Generalized kinds of density and the associated ideals
• Restricting statistical convergence
• Characterizations of groups generated by Kronecker sets
• Answer to Raczkowski's questions on convergent sequences of integers
• Characterized subgroups of the circle group
• Generating new ideals using weighted density via modulus functions
• Generating subgroups of the circle using statistical convergence of order \(\alpha\)
• Characterized subgroups of topological abelian groups
• Density by moduli and statistical convergence
• The Structure of the Real Line
• Statistically characterized subgroups of the circle
• Sous-groupes de IR liés à la répartition modulo 1 de suites
• ON STATISTICAL CONVERGENCE
• Sur certains sous-groupes de ℝ liés à la suite des factorielles
• Answer to Armacost's Quest on Topologically Torsion Elements of the Circle Group
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• Good approximation and characterization of subgroups of R = Z
• Topologically Torsion Elements of the Circle Group
• Sur la convergence statistique
• Sets of Fractional Dimensions which Occur in Some Problems of Number Theory
• Generalized Asymptotic Density
• The Measure Theoretic Approach to Density

This page was built for publication: Generating subgroups of the circle using a generalized class of density functions