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VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20221005T100643Z
DTSTART:20221025T140000Z
DTEND:20221025T150000Z
SUMMARY:Manchester Number Theory Seminar - Kyle Pratt
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}adu-l8sl30m
l-uv8gfh
DESCRIPTION:Speaker: Kyle Pratt (University of Oxford)\n\nTitle: The irra
tionality of a divisor function series of Erdos and Kac\n\nAbstract: For
each positive integer k Erdos and Kac defined a number\, call it alpha_
k\, which is given by an infinite sum involving the sum-of-kth-powers-of
-divisors function. They conjectured alpha_k is irrational for every k.
This is known conditionally under strong assumptions like the Hardy-Litt
lewood prime k-tuples conjecture\, and was previously known unconditiona
lly for k <= 3. We discuss our recent proof that alpha_4 is irrational.
The proof relies on sieve theory and exponential sum estimates\n\nRoom:
Frank Adams 2
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 2\, Alan Turing Building\, Manchester
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