Upper and lower bounds for finite \(B_h[g]\) sequences.

DOI10.1006/jnth.2001.2767zbMath1041.11015OpenAlexW2002386582MaRDI QIDQ1867418

Javier Cilleruelo, Imre Z. Ruzsa, Carlos A. Trujillo

Publication date: 2 April 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2767

Mathematics Subject Classification ID

Special sequences and polynomials (11B83)

Related Items (16)

An upper bound for \(B_{2}[g\) sets] ⋮ Upper and lower bounds on the size of $B_k[g$ sets] ⋮ On optimal autocorrelation inequalities on the real line ⋮ Threshold functions and Poisson convergence for systems of equations in random sets ⋮ Generalized Sidon sets ⋮ An upper bound for \(B_2 [2\) sequences] ⋮ A Numerical Note on Upper Bounds for B₂[g Sets] ⋮ Generalized difference sets and autocorrelation integrals ⋮ A new upper bound for \(B_2 [2\) sets] ⋮ New upper bounds for finite \(B_h\) sequences ⋮ Constructions of generalized Sidon sets. ⋮ Dense edge-magic graphs and thin additive bases ⋮ Infinite \(B_2[g\) sequences] ⋮ B₂[g Sets and a Conjecture of Schinzel and Schmidt] ⋮ Three convolution inequalities on the real line with connections to additive combinatorics ⋮ On suprema of autoconvolutions with an application to Sidon sets

Cites Work

• On finite Sidon sequences
• The density of \(B_ h[g\) sequences and the minimum of dense cosine sums]
• \(B_ h[g\)-sequences with large upper density]
• On Sidon sequences of even orders
• On a Problem of Sidon in Additive Number Theory, and on some Related Problems

This page was built for publication: Upper and lower bounds for finite \(B_h[g]\) sequences.