On Hilbert cubes in certain sets

DOI10.1023/A:1009883404485zbMath0990.11011OpenAlexW2076667405MaRDI QIDQ1124969

Norbert Hegyvári, András Sárközy

Publication date: 17 August 2002

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009883404485

zbMATH Keywords

squareGaussian sumHilbert cubesubset sumRamsey-type theorems

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Applications of sieve methods (11N36) Ramsey theory (05D10) Trigonometric and exponential sums (general theory) (11L03) Additive number theory; partitions (11P99)

Related Items (7)

Subset sum ``cubes and the complexity of primality testing ⋮ Hilbert cubes in arithmetic sets ⋮ Multiplicative Properties of Hilbert Cubes ⋮ Hilbert cubes in progression-free sets and in the set of squares ⋮ Prescribing the binary digits of squarefree numbers and quadratic residues ⋮ Prime divisors of some recurrence sequence ⋮ On Hilbert cubes and primitive roots in finite fields

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