An elementary question of Erdős and Graham

Fuente: arXiv
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Autor principal: Hegyvári, Norbert
Formato: Preprint
Publicado: 2025
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author Hegyvári, Norbert
author_facet Hegyvári, Norbert
contents Let $A_k=\{r(k-r): 1\leq r \leq k-1\}$. Erd\H os and Graham asked about the cardinality of the set of common elements. We answer this elementary question and apply our result to a sum-product type result.
format Preprint
id arxiv_https___arxiv_org_abs_2503_24201
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An elementary question of Erdős and Graham
Hegyvári, Norbert
History and Overview
Combinatorics
11B75
Let $A_k=\{r(k-r): 1\leq r \leq k-1\}$. Erd\H os and Graham asked about the cardinality of the set of common elements. We answer this elementary question and apply our result to a sum-product type result.
title An elementary question of Erdős and Graham
topic History and Overview
Combinatorics
11B75
url https://arxiv.org/abs/2503.24201