Questions tagged [sidon-sets]
The sidon-sets tag has no usage guidance.
4
questions with no upvoted or accepted answers
2
votes
0
answers
139
views
Primality radii and Sidon sets
I learned tonight what a Sidon set is, in a book about Erdős. This notion inspires me the following question :
For $n$ a large enough composite integer, say $r>0$ is a primality radius of $n$ if ...
1
vote
0
answers
270
views
On fifth powers forming a Sidon set
We call a set of natural numbers $\mathcal S$ to be a Sidon Set if $a+b=c+d$ for $a,b,c,d\in \mathcal S$ implies $\{a,b\}=\{c,d\}$. In other words, all pairwise sums are distinct.
Erdős conjectured ...
1
vote
0
answers
49
views
Has anyone studied Golomb rulers having a spectrum with a minimal $L^2$ norm?
A Golomb ruler can be described as a set of marks on a line having integer positions, such that no two pairs of marks are separated by the same distance. Call the spectrum of a ruler the (multi-)set ...
0
votes
0
answers
100
views
Number of $b$-separated Sidon sets with pairwise difference set intersection bounds
Given two integers integers $0<b<p$ and a real $\alpha\in(0,1)$ call a set of $m$ integers $a_1<\dots<a_m$ in the interval $(p^\alpha,p-p^\alpha)$ to be $b$-separated Sidon if:
$a_i-a_j\...