scholarly journals The Bose-Chowla argument for Sidon sets

2021 ◽  
Author(s):  
Melvyn B. Nathanson
Keyword(s):  
Sidon Sets

On strong Sidon sets of integers

2021 ◽  
Vol 183 ◽  
pp. 105490
Author(s):  
Yoshiharu Kohayakawa ◽  
Sang June Lee ◽  
Carlos Gustavo Moreira ◽  
Vojtěch Rödl
Keyword(s):  
Sidon Sets

scholarly journals On infinite multiplicative Sidon sets

2019 ◽  
Vol 76 ◽  
pp. 37-52 ◽  
Author(s):  
Péter Pál Pach ◽  
Csaba Sándor
Keyword(s):  
Sidon Sets

scholarly journals Characterizing Sidon sets by interpolation properties of subsets

2008 ◽  
Vol 112 (2) ◽  
pp. 175-199 ◽  
Author(s):  
Colin C. Graham ◽  
Kathryn E. Hare
Keyword(s):  
Sidon Sets

Infinite Sidon Sets Contained in Sparse Random Sets of Integers

2018 ◽  
Vol 32 (1) ◽  
pp. 410-449
Author(s):  
Yoshiharu Kohayakawa ◽  
Sang June Lee ◽  
Carlos Gustavo Moreira ◽  
Vojtěch Rödl
Keyword(s):  
Random Sets ◽  
Sidon Sets

scholarly journals Kernels of surjections from ${\cal L}_1$ -spaces with an application to Sidon sets

1997 ◽  
Vol 309 (1) ◽  
pp. 135-158 ◽  
Author(s):  
N.J. Kalton ◽  
A. Pełczyński
Keyword(s):  
Sidon Sets

Sets of zero discrete harmonic density

2009 ◽  
Vol 148 (2) ◽  
pp. 253-266 ◽  
Author(s):  
COLIN C. GRAHAM ◽  
KATHRYN E. HARE
Keyword(s):  
Abelian Group ◽  
Dual Group ◽  
New Approach ◽  
Sidon Sets ◽  
Harmonic Density

AbstractLet G be a compact, connected, abelian group with dual group Γ. The set E ⊂ has zero discrete harmonic density (z.d.h.d.) if for every open U ⊂ G and μ ∈ Md(G) there exists ν ∈ Md(U) with = on E. I0 sets in the duals of these groups have z.d.h.d. We give properties of such sets, exhibit non-Sidon sets having z.d.h.d., and prove union theorems. In particular, we prove that unions of I0 sets have z.d.h.d. and provide a new approach to two long-standing problems involving Sidon sets.

Sum of Elements in Finite Sidon Sets

2020 ◽  
pp. 1-11
Author(s):  
Yuchen Ding
Keyword(s):  
Cardinal Number ◽  
Sidon Sets ◽  
Sidon Set

[Formula: see text] is called a Sidon set if [Formula: see text] are all distinct for any [Formula: see text]. Let [Formula: see text] be the largest cardinal number of such [Formula: see text]. We are interested in the sum of elements in the Sidon set [Formula: see text]. In this paper, we prove that for any [Formula: see text], [Formula: see text] where [Formula: see text] is a Sidon set and [Formula: see text].

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