Resumen de Gaussian almost primes in almost all narrow sectors

Olli Järviniemi, Joni Teräväinen

• We show that almost all sectors of the disc {z∈C:∣z∣ 2≤X} of area (logX) 15.1 contain products of exactly two Gaussian primes, and that almost all sectors of area (logX) 1+ε contain products of exactly three Gaussian primes. The argument is based on mean value theorems, large value estimates and pointwise bounds for Hecke character sums.