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Graduate Student Number Theory Seminar

A Large Sieve Inequality for Roots of Cubic Congruences

Matthew Welsh, Rutgers University

Location:  Hill 425
Date & time: Monday, 09 October 2017 at 12:00PM - 1:00PM

 
   
   
Abstract:  
  In the course of proving infinitely many primes of the form x^2 + p^2, Fouvry and Iwaniec used the parametrization (dating back to Gauss) of roots of v^2 = -1 (mod m) by representations of m = a^2 + b^2 to derive a large sieve inequality for these roots. In this talk I will explain an attempt to replicate these results for roots of v^3 = 2 (mod m).

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