A NOTE ON THE SUM OF RECIPROCALS

DOI10.1017/S0004972719000558zbMath1459.11007arXiv1807.01665OpenAlexW3105804278MaRDI QIDQ5232875

Yuchen Ding, Yu-Chen Sun

Publication date: 13 September 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01665

zbMATH Keywords

Egyptian fractionsum of reciprocalscover of the integers

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Other combinatorial number theory (11B75) Factorization; primality (11A51) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

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• Clique numbers of graphs and irreducible exact \(m\)-covers of the integers
• On exactly \(m\) times covers
• On integers of the forms \(k^r-2^n\) and \(k^r2^n+1\).
• On odd covering systems with distinct moduli
• Covering systems and generating functions
• Improvements to the Newman-Znám result for disjoint covering systems
• Covering the integers by arithmetic sequences. II
• On m times covering systems of congruences
• Covering the integers by arithmetic sequences
• On integers not of the form ±𝑝^{𝑎}±𝑞^{𝑏}

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