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SUMMARY:Multiplicative functions (and pretentions) - Andrew Granville (Mon
 tréal)
DTSTART:20090512T160000Z
DTEND:20090512T170000Z
UID:TALK13764@talks.cam.ac.uk
CONTACT:Helen Innes
DESCRIPTION:How many prime factors does a typical integer have?\nHow many 
 distinct numbers are there in the n-by-n times tables?\nHow many primes ar
 e there in a given arithmetic progression?\nCan one analytically continue 
 L-functions defined by counting the\nnumber of solutions to equations mod 
 p?\n\n\nAll of these questions\, naturally arising in number theory\, lead
  to\nthe subject of the distribution of multiplicative functions.\nIn this
  lecture we will review some of the key results in this area\,\nre-interpr
 eting them in terms of the notion of  "pretentiousness"\, as\ndeveloped by
  Soundararajan and the speaker.
LOCATION:Wolfson Room (MR 2) Centre for Mathematical Sciences\, Wilberforc
 e Road\, Cambridge
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