We show that almost all sectors of the disc of area contain products of exactly two Gaussian primes, and that almost all sectors of area 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.
Cite this article
Olli Järviniemi, Joni Teräväinen, Gaussian almost primes in almost all narrow sectors. Rev. Mat. Iberoam. (2023), published online firstDOI 10.4171/RMI/1452