BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Number Theory Seminar - Sarkozy’s theorem in Fq[t] via the v
 an der Corput property
X-WR-TIMEZONE:Central Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20261007T074703Z
UID:tag:localist.com\,2008:EventInstance_51340394516278
DTSTART:20251201T220000Z
DTEND:20251201T230000Z
DESCRIPTION:Abstract\n\nFix a prime power q\, and let F_q[t] denote the rin
 g of polynomials over the finite field F_q. Suppose A ⊆ { f ∈ F_q[t] :
  deg f ≤ N } contains no pair of elements whose difference is of the for
 m P − 1 with P irreducible. Adapting Green’s approach to Sarkozy’s t
 heorem for shifted primes in ℤ using the van der Corput property\, we sh
 ow that\n\n|A| ≪ q^((N+1)(11/12 + o(1)))\,\n\nimproving upon the bound O
 (q^((1 − c / log N)(N+1))) due to Le and Spencer.\n\n(Joint work with St
 eve Fan)
LOCATION:Hume Hall\, 331
SUMMARY:Number Theory Seminar - Sarkozy’s theorem in Fq[t] via the van de
 r Corput property
URL;VALUE=URI:https://eventcalendar.olemiss.edu/event/number-theory-seminar
 -sarkozys-theorem-in-fqt-via-the-van-der-corput-property
CATEGORIES:Lectures
END:VEVENT
END:VCALENDAR