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SUMMARY:Norbert Hegyvari (Eotvos University and Renyi Institute\, Budapest
 )
DTSTART:20200602T170000Z
DTEND:20200602T172500Z
DTSTAMP:20260423T010926Z
UID:CANT2020/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/21/
 ">Hilbert cubes meet arithmetic sets</a>\nby Norbert Hegyvari (Eotvos Univ
 ersity and Renyi Institute\, Budapest) as part of Combinatorial and additi
 ve number theory (CANT 2021)\n\n\nAbstract\nIn 1978\, Nathanson obtained s
 everal results on sumsets contained in infinite sets of integers.  \nLater
  the author investigated how big a Hilbert cube avoiding a given {\\it inf
 inite} \nsequence of integers can be.  \n\nIn the present talk\, we show t
 hat an additive Hilbert cube\, in {\\it prime fields} \nof sufficiently la
 rge dimension\, always meets certain kinds of arithmetic sets\, \nnamely\,
  product sets and reciprocal sets of sumsets satisfying certain technical 
 conditions.  \n\nJoint work with Peter P. Pach.\n
LOCATION:https://researchseminars.org/talk/CANT2020/21/
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