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SUMMARY:Alexander Dunn (Georgia Institute of Technology)
DTSTART:20250506T193000Z
DTEND:20250506T203000Z
DTSTAMP:20260419T151219Z
UID:BC-MIT/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/21/">
 Recent progress on Gauss sums and primes</a>\nby Alexander Dunn (Georgia I
 nstitute of Technology) as part of BC-MIT number theory seminar\n\nLecture
  held in Room 2-449 at MIT.\n\nAbstract\nLarge sieve inequalities are a fu
 ndamental tool used to investigate prime numbers and exponential sums. In 
 this lecture I will explain my work that resolves a 1978 conjecture of S. 
 Patterson (conditional on the Generalized Riemann hypothesis) concerning t
 he bias of cubic Gauss sums over the prime numbers. This explains a well-k
 nown numerical bias first observed by Kummer in 1846. This bias was later 
 the subject of testing on some of the first super computers in the 20th ce
 ntury. Time permitting\, results on higher order Gauss sums will be discus
 sed.  This is joint work with Maksym Radziwill.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/21/
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