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URL:https://uwaterloo.ca/pure-mathematics/events/student-number-theory-semi
 nar-naymie-jul-17-2012
LOCATION:MC - Mathematics & Computer Building 200 University Avenue West 50
 46 Waterloo ON N2L 3G1 Canada
SUMMARY:Student Number Theory seminar
CLASS:PUBLIC
DESCRIPTION:CASSIE NAYMIE\, PURE MATHEMATICS DEPARTMENT\, UNIVERSITY OF WAT
 ERLOO\n\n\"LEV'S BOUNDS FOR SUBSETS CONTAINING NO 3-APS (PART 1)\"\n\nAbst
 ract: We say that $\\{x\,y\,z\\}$ forms a three term arithmetic\nprogressi
 on (or 3-AP) if $x+z=2y$.  For a finite abelian group $G$\nwe're\ninteres
 ted in finding the largest cardinality of all subsets\n$A\\subseteq\nG$ wi
 th $A$ containing no 3-APs.  We denote this cardinality by\n$D(G)$.\nIn t
 his talk we will prove a result of Lev's showing how $D(G)$ can be\nbounde
 d above based on the structure of the group $G$.
DTSTAMP:20260605T001205Z
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