Valeriia Starichkova

Chen's theorem under the Generalised Riemann Hypothesis

I would like to talk about the connection between the multiplicative and the additive Number Theory using the example of how the Generalised Riemann Hypothesis (GRH) influences the explicit version of Chen's theorem stating that every large enough even integer number N can be written as a sum of a prime and a semi-prime number. The unconditional lower bound for N was obtained by Matteo Bordignon, a former PhD student at UNSW Canberra. In our joint project with Matteo, we investigated the refinement on the lower bound for N under GRH.