The Two-Colour Rado Number for the Equation ax + by = (a + b)z
For relatively prime positive integers a and b, let n = R(a,b) denote the least positive integer such that every 2-colouring of [1, n] admits a monochromatic solution to ax + by = (a + b)z with x, y, z distinct integers. It is known that R(a,b) ≤ 4(a+b) +1. We show that R(a,b) = 4(a+b) +1, except w...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Basel
2016
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| Online Access: | http://hdl.handle.net/1721.1/103296 https://orcid.org/0000-0003-2305-2949 |