A rainbow Ramsey analogue of Rado’s theorem

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• 作者：J.A. De Loera^a ; ^{deloera@math.ucdavis.edu" class="auth_mail" title="E-mail the corresponding author} ; R.N. La Haye^a ; ^{rlahaye@math.ucdavis.edu" class="auth_mail" title="E-mail the corresponding author} ; A. Montejano^b ; ^{amandamontejano@ciencias.unam.mx" class="auth_mail" title="E-mail the corresponding author} ; D. Oliveros^c ; ^{dolivero@matem.unam.mx" class="auth_mail" title="E-mail the corresponding author} ; E. Roldá ; n-Pensado^c ; ^{e.roldan@im.unam.mx" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Rado&rsquo ; s theorem ; Arithmetic Ramsey theory ; Rainbow Ramsey theory ; Diophantine equations ; Geometry of numbers
• 刊名：Discrete Mathematics
• 出版年：2016
• 出版时间：6 November 2016
• 年：2016
• 卷：339
• 期：11
• 页码：2812-2818
• 全文大小：406 K

文摘

We present a Rainbow Ramsey version of the well-known Ramsey-type theorem of Richard Rado. We use new techniques from the Geometry of Numbers. We also disprove two conjectures proposed in the literature.