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SUMMARY:Amita Malik (Max Planck Institute for Mathematics)
DTSTART:20220421T141500Z
DTEND:20220421T160000Z
DTSTAMP:20260422T065544Z
UID:CJCS/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/65/">Pa
 rtitions into primes with a Chebotarev condition</a>\nby Amita Malik (Max 
 Planck Institute for Mathematics) as part of Copenhagen-Jerusalem Combinat
 orics Seminar\n\n\nAbstract\nIn this talk\, we discuss the asymptotic beha
 vior of the number of integer partitions into primes concerning a Chebotar
 ev condition. In special cases\, this reduces to the study of partitions i
 nto primes in arithmetic progressions. While the study for ordinary partit
 ions goes back to Hardy and Ramanujan\, partitions into primes were recent
 ly re-visited by Vaughan. Our error term is sharp and improves on previous
  known estimates in the special case of primes as parts of the partition. 
 As an application\, monotonicity of this partition function is established
  explicitly via an asymptotic formula in connection to a result of Bateman
  and Erdõs.\n
LOCATION:https://researchseminars.org/talk/CJCS/65/
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