Vinogradov's three primes theorem with Artin primes

Christopher Frei (University of Manchester)

Frank Adams 1,

Vinogradov's celebrated theorem states that every sufficiently large odd integer is the sum of three primes. A conjecture of Artin, proved under GRH by Hooley, asserts that any given integer which is neither -1 nor a perfect square is a primitive root for infinitely many primes p. In this talk, we discuss recent work that combines the results of Vinogradov and Hooley, studying representations of odd integers as sums of three primes, which all have prescribed primitive roots. This is joint work with E. Sofos and P. Koymans (Leiden).
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