P'eter P'al Pach

activity

20112022

n

-smooth numbers with

n

colors

3 citations · 7 across the 13 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.CO2019

Caps and progression-free sets in $Z_{m}^{n}$

Christian Elsholtz, Péter Pál Pach

We study progression-free sets in the abelian groups $G = (Z_{m}^{n}, +)$ . Let $r_{k} (Z_{m}^{n})$ denote the maximal size of a set $S \subset Z_{m}^{n}$ that does not con…

math.NT2019

On the density of sumsets and product sets

Norbert Hegyvári, François Hennecart, Péter Pál Pach

In this paper some links between the density of a set of integers and the density of its sumset, product set and set of subset sums are presented.

math.NT2019★ 3 cited

Coloring the $n$ -smooth numbers with $n$ colors

Andrés Eduardo Caicedo, Thomas A. C. Chartier, Péter Pál Pach

For which values of $n$ can we color the positive integers with precisely $n$ colors in such a way that for any $a$ , the numbers $a, 2 a, \dots, na$ all get different colors? Pach pose…

Caps and progression-free sets in Zmn​

On the density of sumsets and product sets

Coloring the n-smooth numbers with n colors

Caps and progression-free sets in $Z_{m}^{n}$

Coloring the $n$ -smooth numbers with $n$ colors