On the density of sequences of integers the sum of no two of which is a square. I: Arithmetic progressions

DOI10.1016/0097-3165(82)90005-XzbMath0489.10052MaRDI QIDQ1166570

Jeffrey C. Lagarias, Andrew M. Odlyzko, James B. Shearer

Publication date: 1982

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

sequences of integersmaximal densitynonsquare sum of two elements

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Arithmetic progressions (11B25)

Related Items (4)

Monochromatic Solutions to ⋮ On sets of natural numbers whose sumset is free of squares ⋮ Sumsets with restricted number of prime factors ⋮ On the density of sequences of integers the sum of no two of which is a square. II: General sequences

Cites Work

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• On the density of sequences of integers the sum of no two of which is a square. II: General sequences
• On Character Sums and Primitive Roots^†
• On difference sets of sequences of integers. I
• On the Shannon capacity of a graph
• Multiples of Points on Elliptic Curves and Continued Fractions
• On a Problem of C. E. Shannon in Graph Theory
• A Constructive Solution to a Tournament Problem
• Number of Points of Varieties in Finite Fields

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