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TZID:America/Chicago
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DTSTART:20201101T020000
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
RDATE:20211107T020000
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BEGIN:DAYLIGHT
DTSTART:20210314T020000
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BEGIN:VEVENT
UID:calendar.24766.field_event_date_2.0@math.wustl.edu
CREATED:20210413T151855Z
DESCRIPTION:Abstract: Counting problems lie at the heart of number theory,
be it the study of primes, class numbers or the number of integer partit
ions. One of the most difficult underlying questions here pertains to the
distribution of the zeros of L-functions. This goes back to Riemann's semi
nal paper from 1859 where he studied the (Riemann) zeta function from an a
nalytic view-point. We begin this talk with a brief overview of the distri
bution of zeros of these L-functions and their connections to various geom
etric and algebraic objects. In the later part, we discuss their influenc
e on the asymptotic behavior of the partition function with parts concerni
ng a Chebotarev condition, a natural generalization of partitions into pr
ime in arithmetic progressions. We examine the error terms for these asymp
totics in the context of the Riemann Hypothesis and improve Vaughan's resu
lt on partitions into primes. In connection to a result of Bateman and Erd
os, we explore monotonicity of the partition function explicitly via an a
symptotic formula.\n\nHost: Matt Kerr
DTSTART;TZID=America/Chicago:20210420T160000
DTEND;TZID=America/Chicago:20210420T170000
LAST-MODIFIED:20210413T151855Z
SUMMARY:'Counting arithmetic objects: zeros of L-functions and integer part
itions'
URL;TYPE=URI:https://math.wustl.edu/events/counting-arithmetic-objects-zero
s-l-functions-and-integer-partitions
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