Kronecker Constants of Arithmetic Progressions

DOI10.1080/10586458.2014.928656zbMath1314.43003OpenAlexW1965535120MaRDI QIDQ5498927

Kathryn E. Hare, L. Thomas Ramsey

Publication date: 11 February 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2014.928656

zbMATH Keywords

arithmetic progressionKronecker constantangular Kronecker constantbinary Kronecker constant

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Numerical methods for trigonometric approximation and interpolation (65T40)

Cites Work

• Interpolation and Sidon sets for compact groups
• Chromatic numbers and Bohr topologies
• Kronecker constants for finite subsets of integers
• Tensor algebras and harmonic analysis
• Existence of large ε-Kronecker and FZI₀(U) sets in discrete abelian groups
• Relative weak compactness of orbits in Banach spaces associated with locally compact groups
• Lacunarity and the Bohr topology
• Exact Kronecker constants of Hadamard sets
• Characterizing Sidon sets by interpolation properties of subsets
• $\varepsilon$-Kronecker and $I_{0}$ sets in abelian groups, I: arithmetic properties of $\varepsilon$-Kronecker sets

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