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SUMMARY:Optimization problems for multiplicative functions - Andrew Granvi
 lle (Université de Montréal)
DTSTART:20240412T090000Z
DTEND:20240412T100000Z
UID:TALK214027@talks.cam.ac.uk
DESCRIPTION:&nbsp\;\n20+ years ago\, Soundararajan and I initiated a study
  of the&nbsp\;spectrum\, the range of possible mean values of multiplicati
 ve functions which take their values at primes in some given set S. We res
 olved this question for S=[-1\,1]\, and asked for more general results.\n&
 nbsp\;\nThere are several obvious directions to take this -- S is the set 
 of mth roots of unity for m>2\, or S=[-l\,k]\, or ...\nIn this talk I will
  report on recent progress on these questions in joint works with Kevin Ch
 urch\, Kaisa Matomaki\, K. Soundararajan and Daodao Yang.
LOCATION:Seminar Room 1\, Newton Institute
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