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SUMMARY:Jori Merikoski (University of Turku)
DTSTART:20201027T084000Z
DTEND:20201027T091000Z
DTSTAMP:20260423T010809Z
UID:JENTE/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/6/">A 
 cubic analogue of the Friedlander-Iwaniec spin along primes</a>\nby Jori M
 erikoski (University of Turku) as part of Japan Europe Number Theory Excha
 nge Seminar\n\n\nAbstract\nIn 1998 Friedlander and Iwaniec famously proved
  that there are infinitely many primes of the form a^2+b^4. To show this t
 hey defined the spin of Gaussian integers by using the Jacobi symbol\, and
  one of the key ingredients in the proof was to show that the spin becomes
  equidistributed along Gaussian primes. To generalize this\, by using the 
 cubic residue character on the Eisenstein integers\, we define the cubic s
 pin of ideals of the twelfth cyclotomic extension. We prove that the cubic
  spin is equidistributed along prime ideals. The proof of this follows clo
 sely along the lines of Friedlander and Iwaniec. We also explain how this 
 cubic spin is related to primes of the form a^2+b^6 on the Eisenstein inte
 gers.​\n
LOCATION:https://researchseminars.org/talk/JENTE/6/
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