Gaussian integers with small prime factors

[摘要] LetψG(xt,x)denote the number of Gaussian integers with norm not exceedingx2twhose Gaussian prime factors have norm not exceedingx2. Previous estimates have required restrictions on the parametertwith respect tox. The purpose of this note is to present asymptotic estimates forψG(xt,x)for all ranges of the parametertwith respect tox.

[学科分类] 数学（综合）