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DTSTART:19700329T010000
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CATEGORIES:Discrete Analysis Seminar
SUMMARY:Why are bilinear forms important in analytic numbe
r theory? - Adam Harper\, Cambridge
DTSTART;TZID=Europe/London:20111111T160000
DTEND;TZID=Europe/London:20111111T170000
UID:TALK33381AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/33381
DESCRIPTION:Many problems in number theory involve obtaining g
ood estimates\nfor sums over primes\, sums weighte
d by arithmetic functions\, or similar.\nOne possi
ble approach to this\, which is often branded as "
the method of\nType II sums"\, involves somehow re
organising the sum of interest so that it\nhas a b
ilinear shape. In this seminar I will try to expla
in some examples\nwhere this technique is useful.
The talk will be almost completely\nexpository\, b
ut amongst other things I will present a simpler p
roof of a\nrecent bilinear sums result of Bourgain
\, Sarnak and Ziegler. I may also\nmake a (tenuous
) connection with some of my recent work on S-unit
\nequations.
LOCATION:MR15\, CMS
CONTACT:Ben Green
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