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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20201019T084554Z
DTSTART:20191126T150000Z
DTEND:20191126T160000Z
SUMMARY:Joni Teravainen (Oxford)  - Multiplicative functions in short ari
 thmetic progressions
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}tik-k0gm4q4
 y-xqdcd4
DESCRIPTION:Join us for this research seminar\, part of the Number Theory
  Seminar Series. \n\nAbstract: A celebrated theorem of Matomäki and Radz
 iwi?? states that the partial sums of a bounded multiplicative function 
 exhibit cancellation in almost all short intervals unless the function i
 s pretentious in a certain well-defined sense. I will discuss joint work
  with Oleksiy Klurman and Alexander Mangerel where we prove an analogue 
 of this theorem that works for multiplicative functions in arithmetic pr
 ogressions to very large moduli\, as well as a hybrid result that works 
 for short intervals and arithmetic progressions to large moduli simultan
 eously. I will also present an application of this result to Linnik-type
  theorems for almost primes. 
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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