scholarly journals Improved Bounds on Sidon Sets via Lattice Packings of Simplices

2017 ◽  
Vol 31 (3) ◽  
pp. 2269-2278 ◽  
Author(s):  
Mladen Kovačević ◽  
Vincent Y. F. Tan
Keyword(s):  
Sidon Sets ◽  
Lattice Packings

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

Some Sphere Packings in Higher Space

1964 ◽  
Vol 16 ◽  
pp. 657-682 ◽  
Author(s):  
John Leech
Keyword(s):  
Two Dimensions ◽  
Lattice Packing ◽  
Sphere Packings ◽  
Euclidean Spaces ◽  
Lattice Packings

This paper is concerned with the packing of equal spheres in Euclidean spaces [n] of n > 8 dimensions. To be precise, a packing is a distribution of spheres any two of which have at most a point of contact in common. If the centres of the spheres form a lattice, the packing is said to be a lattice packing. The densest lattice packings are known for spaces of up to eight dimensions (1, 2), but not for any space of more than eight dimensions. Further, although non-lattice packings are known in [3] and [5] which have the same density as the densest lattice packings, none is known which has greater density than the densest lattice packings in any space of up to eight dimensions, neither, for any space of more than two dimensions, has it been shown that they do not exist.

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
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