P. Pach

activity

20122023

most citedProgression-free sets in Z_4^n are exponentially small

94 citations · 101 across the 5 of their papers we have counts for

collaborators

Showing 2018 · math.NTShow all

2 papers · 2 filters

math.NT2018

The number of multiplicative Sidon sets of integers

Hong Liu, Péter Pál Pach

A set $S$ of natural numbers is multiplicative Sidon if the products of all pairs in $S$ are distinct. Erdős in 1938 studied the maximum size of a multiplicative Sidon subset of $\…

math.NT2018★ 6 cited

Monochromatic solutions to $x + y = z^{2}$ in the interval $[N, c N^{4}]$

Péter Pál Pach

Green and Lindqvist proved that for any 2-colouring of $N$ , there are in\-fi\-ni\-tely many monochromatic solutions to $x + y = z^{2}$ . In fact, they showed the existence of a m…

The number of multiplicative Sidon sets of integers

Monochromatic solutions to x+y=z2 in the interval [N,cN4]

Monochromatic solutions to $x + y = z^{2}$ in the interval $[N, c N^{4}]$