> On Wednesday, September 27, 2017 at 8:09:45 PM UTC+1, Paul wrote:
> > https://dml.cz/â¦/1033â¦/122006/CasPestMatFys_067-1938-4_3.pdf > > I'm trying to understand some of the early work on arithmetic > > progressions. In the above paper, I don't understand how van der > > Waerden's theorem is used to prove (8) on page 236. It's true that > > one of the sets in the partition will contain arithmetic > > progressions of length k. But, in the partition of the integers > > from 1 to r_k * n_0, an A_i will have lots of members which are > > not in the a_i maximal sequence. So I don't see how an A_i with an > > arithmetical progression of length k establishes a contradiction. > > I just noticed that the URL doesn't display in a very user-friendly > way (at least in my newsreader). > /dml.cz/bitstream/handle/10338.dmlcz/122006/CasPestMatFys_067-1938-4_3.pdf > is the URL without the https:// preface. I hope that comes out > better.