I. Ruzsa

activity

20022024

most citedDifference sets and frequently hypercyclic weighted shifts

70 citations · 225 across the 33 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.NT2015

Exact additive complements

Imre Z. Ruzsa

Let $A, B$ be sets of positive integers such that $A + B$ contains all but finitely many positive integers. Sárközy and Szemerédi proved that if $A (x) B (x) / x \to 1$ , then $A(x)B(x)-x…

math.NT2015

Carries and the arithmetic progression structure of sets

Francesco Monopoli, Imre Z. Ruzsa

If we want to represent integers in base $m$ , we need a set $A$ of digits, which needs to be a complete set of residues modulo $m$ . When adding two integers with last digits $a_1,…

math.MG2015★ 10 cited

Better bounds for planar sets avoiding unit distances

Tamás Keleti, Máté Matolcsi, Fernando Mário de Oliveira Filho +1

A $1$ -avoiding set is a subset of $R^{n}$ that does not contain pairs of points at distance $1$ . Let $m_{1} (R^{n})$ denote the maximum fraction of $R^{n}$ that c…