Introduction. Let A be a strictly increasing sequence of positive integers. The set of all the subset sums of A will be denoted by P (A), i.e. P (A) = {∑ iai : ai ∈ A; i = 0 or 1}. A is said to be… (More)

In this paper we provide in Fp expanding lower bounds for two variables functions f (x, y) in connectionwith the product set or the sumset. The sum–product problem has been immensely studied in the… (More)

We extend a result of Stewart, Tijdeman and Ruzsa on iterated difference sequences to groups. We give a complete answer for abelian groups, and apart from a constant, we give the best estimate for… (More)

We study the gaps in the sequence of sums of h pairwise distinct elements of a given sequence A in relation with the gaps in the sequence of sums of h not necessarily distinct elements of A. We… (More)

Given subset E of natural numbers FS(E) is defined as the collection of all sums of elements of finite subsets of E and any translation of FS(E) is said to be Hilbert cube.We can define the… (More)