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SUMMARY:Hung Bui (University of Manchester)
DTSTART:20230322T160000Z
DTEND:20230322T170000Z
DTSTAMP:20260418T063945Z
UID:LNTS/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/92/">EG
 GS\, squares and integer points on hyperelliptic curves</a>\nby Hung Bui (
 University of Manchester) as part of London number theory seminar\n\nLectu
 re held in Rm. 706\, UCL Department of Mathematics (UCL Union Building).\n
 \nAbstract\nErdos\, Graham and Selfridge considered\, for each positive in
 teger n\, the least value of $t_n$ so that the integers $n+1\, n+2\,\\ldot
 s\, n+t_n$ contain a subset the product of whose members with $n$ is a squ
 are. An open problem posed by Granville concerns the size of $t_n$ under t
 he assumption of the ABC Conjecture. We discuss recent work\, joint with K
 yle Pratt and Alexandru Zaharescu\, in which we establish some results on 
 the distribution of $t_n$\, including an unconditional resolution of Granv
 ille's problem.\n
LOCATION:https://researchseminars.org/talk/LNTS/92/
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