D. G. Hazlewood, "Gaussian integers with small prime factors", International Journal of Mathematics and Mathematical Sciences, vol. 2, Article ID 635749, 10 pages, 1979. https://doi.org/10.1155/S0161171279000089
Gaussian integers with small prime factors
Let denote the number of Gaussian integers with norm not exceeding whose Gaussian prime factors have norm not exceeding . Previous estimates have required restrictions on the parameter with respect to . The purpose of this note is to present asymptotic estimates for for all ranges of the parameter with respect to .
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