Ben Barber and Imre Leader, Journal of Combinatorics, Volume 4 (2013), Number 3<\/a>\u00a0PDF<\/a><\/p>\n

Does a partition regular system remain partition regular if we ask that each variable is divisible by ? Not necessarily. This answers several open questions from Hindman, Leader and Strauss’s 2003 survey.<\/p>\n

The proof of Proposition 5 in the journal version is not entirely clear; I recommend reading the updated pdf linked above. My thanks to Boaz Tsaban for pointing this out.<\/p>\n","protected":false},"excerpt":{"rendered":"

Ben Barber and Imre Leader, Journal of Combinatorics, Volume 4 (2013), Number 3\u00a0PDF Does a partition regular system remain partition regular if we ask that each variable is divisible by ? Not necessarily. This answers several open questions from Hindman, Leader and Strauss’s 2003 survey. The proof of Proposition 5 in the journal version is … <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[3],"tags":[30],"_links":{"self":[{"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/posts\/99"}],"collection":[{"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/comments?post=99"}],"version-history":[{"count":0,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/posts\/99\/revisions"}],"wp:attachment":[{"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/media?parent=99"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/categories?post=99"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/babarber.uk\/wp-json\/wp\/v2\/tags?post=99"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}