Abstract Let φ (x 1,…, xh)= c 1 x 1+⋯+ chxh be a linear form with coefficients in a field F, and
let V be a vector space over F. A nonempty subset A of V is a φ-Sidon set if φ (a 1,…, ah)= φ …

The greedy Sidon set, also known as the Mian-Chowla sequence, is the lexicographically
first set in N that does not contain x 1, x 2, y 1, y 2 with x 1+ x 2= y 1+ y 2. Its growth and …

Abstract A set $ S\subset {\mathbb {N}} $ is a Sidon set if all pairwise sums $ s_1+ s_2 $(for
$ s_1, s_2\in S $, $ s_1\leqslant s_2 $) are distinct. A set $ S\subset {\mathbb {N}} $ is an …

Let h, k≥ 2 be integers. A set A of positive integers is called asymptotic basis of order k if
every large enough positive integer can be written as the sum of k terms from A. A set of …

A set $ S\subset\mathbb {N} $ is a Sidon set if all pairwise sums $ s_1+ s_2 $(for $ s_1,
s_2\in S $, $ s_1\leq s_2 $) are distinct. A set $ S\subset\mathbb {N} $ is an asymptotic basis …

Let k and l be positive integers satisfying. A set of positive integers is an asymptotic basis of
order k if every large enough positive integer can be represented as the sum of k terms from …