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SUMMARY:Trevor Wooley (Purdue University)
DTSTART:20230524T140000Z
DTEND:20230524T142500Z
DTSTAMP:20260423T041810Z
UID:CANT2023/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2023/23/
 ">Waring's problem and Freiman's theorem</a>\nby Trevor Wooley (Purdue Uni
 versity) as part of Combinatorial and additive number theory (CANT 2023)\n
 \nLecture held in Room 4102 in CUNY Grad Center.\n\nAbstract\nFre\\u \\i m
 an proved that when $(k_i)$ is an increasing sequence of positive integers
 \, then for each $j$\, there exists $s=s(j)$ having the property that all 
 large integers $n$ are represented as a sum of positive integral $k_i$-th 
 powers (with $i\\in \\{j\,j+1\,\\ldots \,s\\}$) if and only if the series 
 $1/k_1+1/k_2+\\ldots $ diverges. We describe recent work joint with J\\"or
 g Br\\"udern making Fre\\u \\i man's theorem effective. Some concrete exam
 ples will be described.\n
LOCATION:https://researchseminars.org/talk/CANT2023/23/
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