A Complete Annotated Bibliography of Work Related to Sidon Sequences

2004/07/08 by Kevin O'Bryant · 6 citations
Mathematics · #math.NT #math.CO #msc:11B50 #msc:11B83 #msc:05B10

paper · pdf

published as Electron. J. Combin. (2004), Dynamic Survey 11, 39 pp. · 38 pages, pdf version heavily hyperlinked, postscript version is inexpiably hyperlinkless

arxiv created 2004/07/08 · arxiv updated 2009/12/01

Abstract

A Sidon sequence is a sequence of integers a₁ < a₂ < a₃ < ... with the property that the sums a_i+a_j (i≤ j) are distinct. This work contains a survey of Sidon sequences and their generalizations, and an extensive annotated and hyperlinked bibliography of related work.

Cited by

• Generalized additive bases and difference bases for Cartesian product of finite abelian groups
• Parameterized Hardness of Zonotope Containment and Neural Network Verification
• New constructions and bounds for nonabelian Sidon sets with applications to Turán-type problems
• Additive sumset sizes with tetrahedral differences
• Counting with two-level polynomials
• Triangular and tetrahedral number differences of sumset sizes in additive number theory

Related

• A remark of Ruzsa's construction of an infinite Sidon set
• Infinite Sidon sequences
• Dense sumsets of Sidon sequences
• Sidon sequences and nonpositive curvarture
• Sidon Basis