# Rado Numbers fora(x+y)=bz

- Authors
- Journal
- Journal of Combinatorial Theory Series A 0097-3165
- Publisher
- Elsevier
- Publication Date
- Volume
- 80
- Issue
- 2
- Identifiers
- DOI: 10.1006/jcta.1997.2810

## Abstract

Abstract In the case of existence the smallest number N=Ra k is called a Rado number if it is guaranteed that any k-coloring of the numbers 1, 2, …, Ncontains a monochromatic solution of a given system of linear equations. We will determine Ra k ( a, b) for the equation a( x+ y)= bzif b=2 and b= a+1. Also, the case of monochromatic sequences { x n } generated by a( x n + x n+1 )= bx n+2 is discussed.

## There are no comments yet on this publication. Be the first to share your thoughts.