Some equivalents of the Erdős sum of reciprocals conjecture

DOI10.1016/S0195-6698(88)80025-8zbMath0651.10036WikidataQ122949474 ScholiaQ122949474MaRDI QIDQ1106266

Neil Hindman

Publication date: 1988

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

arithmetic progressionsErdős conjectureStone- Čech compactificationsum of reciprocals

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Special sequences and polynomials (11B83) Structure of topological semigroups (22A15) Arithmetic progressions (11B25)

Cites Work

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• Sums equal to products in \(\beta{\mathbb N}\)
• On density, translates, and pairwise sums of integers
• Minimal ideals and cancellation in beta(N)
• Compact right topological semigroups and generalizations of almost periodicity
• Filters and the Weak Almost Periodic Compactification of a Discrete Semigroup
• Irregular Sets of Integers Generated by the Greedy Algorithm
• Some Questions About Arithmetic Progressions
• On sets of integers containing k elements in arithmetic progression
• The Sum of the Reciprocals of a Set of Integers with no Arithmetic Progression of k Terms
• Ultrafilters: Some old and some new results
• On Non-Averaging Sets of Integers

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